The exponential function that passes through the points (0,19) and (2,1539) is y = 19(9)ˣ.
We can use the two given points to form a system of two equations in two unknowns (a and b) to find the exponential function in the form y = abˣ that passes through those points.
Using the point (0,19), we get
19 = ab⁰
19 = a
Using the point (2,1539), we get
1539 = ab²
Substituting a = 19 from the first equation, we get
1539 = 19b²
Solving for b, we get
b² = 81
b = 9 or b = -9
Since we are dealing with an exponential function that models a growth, we will choose the positive value for b. Thus, b = 9.
Now that we know a and b, we can write the exponential function in the form y = abˣ
y = 19(9)ˣ
Therefore, the exponential function is y = 19(9)ˣ
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--The given question is incomplete, the complete question is given
" Write an exponential function in the form y=ab^x that goes through points ( 0 , 19 ) (0,19) and ( 2 , 1539 ) (2,1539)."--
Please help ASAP math question
Answer:
[tex]14000( {1.07}^{7} ) = 22480.94[/tex]
$22,480.94 > $20,400, so accepting the $14,000 prize now would be more profitable in 7 years.
In the figures below, none of the angles are right angles. In which figure is <1 congruent to <2
The figure in which ∠1 is congruent to <2 is figure 2.
What is the vertical angles theorem?In Mathematics and Geometry, the vertical angles theorem is sometimes referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.
By applying the vertical angles theorem to geometric figure 2, we have the following congruent angles:
m∠1 = m∠2 (same side interior and exterior angles are congruent).
In this context, we can reasonably infer and logically deduce that angle 1 is congruent to angle 2 in geometric figure 2 only.
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Write an equation in slope intercept form for the line parallel to y=-3x-4 and containing the point (-2,5)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-3}x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we're really looking for the equation of a line whose slope is -3 and it passes through (-2 , 5)
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 3}(x-\stackrel{x_1}{(-2)}) \implies y -5 = - 3 ( x +2) \\\\\\ y-5=-3x-6\implies {\Large \begin{array}{llll} y=-3x-1 \end{array}}[/tex]
what is the measure of <T?
A. 60°
B. 100°
C. 110°
D. 125°
Answer:
The sum of angles in a quadrilateral is 360°.
75° +125° +∠T +60° = 360°
∠T = 360° -260° = 100°
Step-by-step explanation:
C = 360 - 260 = 100 The answer is definitely 100 for T as well since the figures are similar. Answer 100 = T <<<<<<<
jcherry99 avatar
R = 75 and A therefore is 75. Now you have 3 angles whose value you know: D, A, and B. These three are 60 75 and 125. (125 is the second best answer). D + A + B = 60 + 75 + 125 = 260
jcherry99 avatar
If the figures are similar, then D = 60 and U = 60
jcherry99 avatar
D is on your left and U is on your left.
Below are various statements about different budgeting techniques. Which are false? Select one or more: A. Budget ratcheting tightens targets when performance fails to meet the target by a predetermined percentage B. Budget lapsing prevents managers from hoarding funds C. Master(static) budgets are prepared for a single level of activity D. Budget lapsing encourages managers to spend money regardless of cost or value E. none of the answers is correct
Answer:
PQRS is a rhombus with S2 =35° calculate the size of all interior angles
289,894 divided by 5
Several months ago while shopping, I was interviewed to see whether or not I'd be interested in signing up for a subscription to a yoga app, I fall into the
category of people who have a membership at a local gym, and guessed that, like me, many people in that category would not be interested in the app. My
friend Rachel falls in the category of people who do not have a membership at a local gym, and I was thinking that she might like a subscription to the app.
After being interviewed, I looked at the interviewer's results. Of the 99 people in my market category who had been interviewed, 19 said they would buy a
subscription, and of the 107 people in Rachel's market category, 24 said they would buy a subscription.
Assuming that these data came from independent, random samples, can we conclude, at the 0.01 level of significance, that the proportion p, of all mall
shoppers in my market category who would buy a subscription is less than the proportion P₂ of all mall shoppers in Rachel's market category who would a
subscription?
Perform a one-talled test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of
formulas.)
(a) State the null.hypothesis H, and the alternative hypothesis ₁.
H. :D
(b) Determine the type of test statistic to use.
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
0
(e) Can we conclude that the proportion of mall shoppers in my market category who would buy a
subscription is less than the proportion in Rachel's market category who would?
OYes ONO
(a) The Null Hypothesis (H₀): The proportion of mall shoppers in my market category who would buy a subscription is greater than or equal to the proportion in Rachel's market category (P₂). Conversely, Alternatvie Hypothesis H₁ insinuates that this proportion is less.
How to explain the hypothesis(b) In order to evaluate the legitimacy of these speculations; we have decided to employ the z-test statistic.
(c) In order to determine the test statistic: we will use the formula:
z = (p₁ - p₂) / √(p(1-p)(1/n₁ + 1/n₂))
where p = (x₁ + x₂) / (n₁ + n₂), where x₁ and x₂ denote the number of successes (or people who said they would purchase a subscription) in each sample, whereas n₁ and n₂ represent the sample sizes, respectively.
According to our data, we received the following: x₁ = 19, n₁ = 99, x₂ = 24, and n₂ = 107. Taking into consideration the aforementioned variables, we obtained p₁= 0.191, p₂= 0.224, and P = 0.208 for the equation above. Therefore,
z= (0.191 - 0.224)/√(0.208(1-0.208)(1/99+1/107)) ≈ -1.238
(rounded to three decimal places).
(d) For the single tailed test at 0.01 level of significance, the critical value generated by the z-test was -2.33.
(e) As a result of the calculated test statistic(-1.238) being greater than the produced critical value (-2.33); we cannot refute the null hypothesis. In other words, with an alpha of 0.01, we cannot conclude that the ratio of mall buyers in my market sector wanting to buy a subscription is less than that of the ones from Rachel's.
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tyrone saved $24of the $60 he earened mowing lawns. what ercent of his earnings did he save
To find out the percentage of Tyrone's earnings that he saved, we need to divide the amount he saved by his total earnings and then multiply by 100 to convert the result into a percentage.
The amount that Tyrone saved is $24, and his total earnings are $60.
So,
Percentage of earnings saved = (Amount saved / Total earnings) x 100
= ($24 / $60) x 100
= 0.4 x 100
= 40%
Therefore, Tyrone saved 40% of his earnings by putting aside $24 from the $60 he earned mowing lawns.
Answer:
40%
Step-by-step explanation:
We Know
Tyrone saved $24 of the $60 he earned mowing lawns.
What percent of his earnings did he save?
We Take
(24 ÷ 60) x 100 = 40%
So, he saved 40% of his earning.
How many ways are there to arrange the letters in the word GRIFFIN?
Step-by-step explanation:
There are 720 ways to arrange the letters in the word GRIFFIN.
To see why, we can use the formula for permutations of a set with n elements, which is n! (n factorial).
The word GRIFFIN has 7 letters, so we have:
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
However, since the letters in GRIFFIN are not all unique (there are 2 Fs and 2 Is), we need to divide by the number of ways the repeated letters can be arranged. This is the product of their factorials:
2! x 2! = 4
So the final answer is:
7! / (2! x 2!) = 5040 / 4 = 720
Examples of different arrangements of the letters in GRIFFIN are:
- FIGRINF
- IRGIFNF
- NGRIFFI
- IFRIGNF
- GFRINIF
- NRIGIFF
- FFIRIGN
And so on, for a total of 720 possible arrangements.
Does this answer your question.
Help out with this pls o
The value {( p ∧ q¹ ) → r¹ } is said to be a form of expression that is seen as a logical formula and it is then written in propositional logic made up of logical operators.
What are the logical operators?The logical operators are seen as "and" (∧), "not" and (→).
Note that the terms:
p: is one that denote the proposition or variable standing for a statement.q¹: Is seen as a proposition or variable standing for a statement that is said to be negated (e.g. "not q").∧: It is the Logical "and" operator, standing for conjunction.r¹: is seen as a proposition or variable standing for a statement that is said to be negated (e.g. "not r").Therefore, the full formula {( p ∧ q¹ ) → r¹ } can then be said to be or read as "if (p and not q) is true, then not r is said to be true".
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See text below
{( p ∧ q¹ ) → r¹ }
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (μ, p, σ) for the indicated parameter. The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, μ, of 48° F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
Question 6 options:
H0 : μ ≠ 48°
H1 : μ = 48°
H0 : μ ≤ 48°
H1 : μ > 48°
H0 : μ ≥ 48°
H1 : μ < 48°
H0 : μ = 48°
H1 : μ ≠ 48°
The correct null hypothesis for this question is H0 : μ = 48° and H1 : μ ≠ 48°
What is null hypothesis ?
In statistical hypothesis testing, the null hypothesis (H0) is a statement that there is no significant difference between a specified population parameter (such as μ) and a hypothesized value (such as 48° F in this case).
The alternative hypothesis (H1), on the other hand, is a statement that there is a significant difference between the population parameter and the hypothesized value. For this particular scenario, the null hypothesis is H0 : μ = 48° F, which means that the refrigerators are maintaining the true mean temperature of 48° F as they are supposed to. The alternative hypothesis is H1 : μ ≠ 48° F, which means that the refrigerators are not maintaining the true mean temperature of 48° F, as claimed by the owner of the brewery.
To test these hypotheses, a sample of refrigerator systems can be taken and their mean temperature can be calculated. If the sample mean is significantly different from 48° F, then the null hypothesis can be rejected in favor of the alternative hypothesis, indicating that the refrigerators are not maintaining the desired temperature.
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I need help on this question
The correct option is the third one, it can be written as the equation:
y = A*(1 - 0.073)ˣ
Which one represents an exponential decay?A general exponential decay can be written as:
y = A*(b)ˣ
Where A is the initial value, and b is the base.
It is an exponential decay only if 0 < b < 1.
From the given options, the one that can be modeled with an exponential decay is a car whose price depreciuates at a rate of 7.3% per year, because if the initial price of the car is A, we can write it as:
y = A*(1 - 0.073)ˣ
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+
12. The scatterplot of the data below models what type of correlation?
Negative correlation.
Explanation:1. Concepts.First of all, let's define the term "correlation" in math functions.
Correlation is a numeric value that expresses how strong the relation is between two variables. It also tells us how one functions affects the other. It can be calculated.
There are three classifications for correlations:
• Positive correlation. This type of correlation indicates that when a variable increases in value, the other variable follows the same behavior.
• Negative correlation. This correlation, on the other hand, indicates that when a variable increases, the other variables does the opposite, it decreases.
• No correlation. This is when one variable has no effect over the other.
Check the attached image to see how these correlations look like in a graph.
2. Analyzing the questionOn this question we are given a graph with several points on it. As you can tell, the more we move to the right on the "x" axis, the lower the points are. Therefore, as "x" increases, "y" decreases. This is a clear example of a negative correlation graph.
2. Pretend your homeowners policy has a premium of $150, a deductible of $5,000, and
limit of $300,000. Your home suffers $170,000 in damages.
How much will your insurance pay?
Answer:
your insurance will pay $165,000 for the damages to your home. You will have to pay the remaining $5,000 as your deductible.
Step-by-step explanation:
The amount that the person get after he home suffers $170,000 in damages is $-130000.
What is deductible amount?Deductible amount is the amount which is paid by one in the starting of any policy.
The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,
[tex]150\times12=1800[/tex]
The home suffers $170,000 in damages and the deductible is of $5000. Thus, the amount remain is,
[tex]\text{A}=170000-5000[/tex]
[tex]\text{A}=165000[/tex]
The limit of the policy is $300000. Thus, the amount will be remained as,
[tex]\text{A}=165000-300000[/tex]
[tex]\text{A}=-135000[/tex]
If we include the deductible amount, then,
[tex]\text{A}=-135000+5000[/tex]
[tex]\text{A}=-130000[/tex]
This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $170,000 in damages is $-130000.
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Joey wants to make enough fruit salad for 30 servings.
How should Joey adjust the recipe to find the total amounts of sugar, juice, and fruit needed for 30 servings? Explain your answer. What is the total amount of sugar, the total amount of juice, and the total amount of fruit needed for 30 servings? Show your work.
The total number of cups for sugar, juice and fruits are:
5cups of sugar
10 cups of juice
20 of fruits
How to solve Algebra Word problems?To adjust the recipe for 30 servings, Joey needs to use proportional reasoning. If the original recipe serves 6, and Joey wants to make 30 servings, he needs to multiply the amount of each ingredient by 5.
Let's say the original recipe requires 1 cup of sugar, 2 cups of juice, and 4 cups of fruit. To find the total amount of each ingredient needed for 30 servings, we need to multiply each ingredient by 5:
1 cup of sugar x 5 = 5 cups of sugar
2 cups of juice x 5 = 10 cups of juice
4 cups of fruit x 5 = 20 cups of fruit
Therefore, Joey needs 5 cups of sugar, 10 cups of juice, and 20 cups of fruit to make fruit salad for 30 servings.
Let's verify the calculations, we can use the ratio of the ingredients to the total number of servings:
1 cup of sugar : 2 cups of juice : 4 cups of fruit
For 6 servings, the ratio is:
1 cup of sugar x 1 : 2 cups of juice x 1 : 4 cups of fruit x 1 = 1:2:4
For 30 servings, the ratio becomes:
1 cup of sugar x 5 : 2 cups of juice x 5 : 4 cups of fruit x 5 = 5:10:20
Thus, we can see that the ratio is still the same, indicating that the adjusted recipe is correct.
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(x-4 8/11) + 1 9/11= 7 3/11 solve for x pls i need big help
Answer:
The answer is 8 6/11
Need help with that. thanks
For the estimated regression equation,
1. SST = 1946 SSR = 1602.747 SSE = 343.256
2. coefficient of determination r² = 0.824
3. The least squares line provided a good fit as a large proportion of the variability in y has been explained by the least squares line. Option D
How do you solve for SST, SSR, and SSE looking at the estimated regression equation?Looking at the estimated regression equation, Start by getting the Predicted Scores, which are;
21.257525 + 0.327425 x 180 = 80.194025
21.257525 + 0.327425 x 150 = 70.371275
21.257525 + 0.327425 x 95 = 52.3629
21.257525 + 0.327425 x 70 = 44.177275
21.257525 + 0.327425 x 70 = 44.177275
21.257525 + 0.327425 x 35 = 32.7174
Step 2, find mean
Mean = (74 + 73 + 59 + 56 + 38 + 24) / 6 = 54
SST = Σ(yi - y_mean)²
SST = (74 - 54)² + (73 - 54)² + (59 - 54)² + (56 - 54)² + (38 - 54)² + (24 - 54)² =1946
SSR = Σ(yi_predicted - y_mean)²
SSR = (80.194025 - 54)² + (70.371275 - 54)² + (52.3629 - 54)² + (44.177275 - 54)² + (44.177275 - 54)² + (32.7174 - 54)² = 1602.74660285
SSE = Σ(yi - yi_predicted)²
(74 - 80.194025)² + (73 - 70.371275)² + (59 - 52.3629)² + (56 - 44.177275)² + (38 - 44.177275)² + (24 - 32.7174)² = 343.255852847
r² = SSR / SST = 1602.747/1946 = 0.82361099691
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DO THE MATH: Groceries Galore is offering baby formula at the sale price of
$12.00 per can, a discount from the regular price of $20.00 per can.
How much is the percentage discount on this sale?
60%
6%
40%
4%
The table represents a linear relationship between the number of hours a computer repair takes and the total cost of the repair. What is the
slope of the line?
Hours, x
3
5
7
Total Cost, y
320
470
620
Add 7*10^-6 and 2.1*10^-5
Answer: 7,210,000
Step-by-step explanation:
Choose the missing step in the given solution to the inequality −2x − 14 > −4 + 3x.
−2x − 14 > −4 + 3x
−5x − 14 > −4
_______________
x < −2
−5x < 10
−5x > −28
x < 2
−5x > 10
The missing step is −5x > −28. This is obtained by adding 14 to both sides of the inequality. Then, to get x < −2, we divide both sides by −5 and reverse the direction of the inequality sign.
Use the Remainder Theorem to find the remainder when P(x) = 5x^4+5x^3 - 2x^2 - 5x + 3 is
divided by x -5
Show your work
Therefore, the remainder when P(x) is divided by x - 5 is 3128.
What is Remainder Theorem?The algebraic Remainder Theorem asserts that when a polynomial P(x) is divided by x-a, the division's remainder equals P(a). In other words, we can replace a for x in the polynomial and evaluate it if we have a polynomial P(x) and we want to know the remainder after it is divided by x-a. The remainder of the division will be the value.
Here,
So to find the remainder when P(x) is divided by x - 5, we need to evaluate P(5).
P(x) = 5x⁴ + 5x³ - 2x² - 5x + 3
P(5) = 5(5)⁴ + 5(5)³ - 2(5)² - 5(5) + 3
P(5) = 3128
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A projectile is launched from ground level with an initial velocity of
v0
feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by
s=−16t2+v0t.
Find the time(s) that the projectile will (a) reach a height of
80
ft and (b) return to the ground when
v0
is
32
feet per second.
Question content area bottom
Part 1
(a) Find the time(s) that the projectile will reach a height of
80
ft when
v0=32
feet per second. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The time(s) that the projectile to reach a height of 80 ft is 3.5 s and time to return to the ground is 1.5 seconds.
What is the time when the projectile reaches the height?
The equation of motion of the projectile is given as;
s = -16t² + v₀t
where;
t is the time of motionv₀ is the initial velocity = 32 ft/ss is the height reachedwhen the height reached = 80 ft, the time of motion is calculated as;
-80 = -16t² + 32t
16t² - 32t - 80 = 0
t = 3.5 seconds or t = -1.5 seconds
Based on the negative sing, we can conclude that the time to return to the ground is 1.5 seconds.
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Wirte the sum using sigma notation:
1
1
+
1-2
2-3
A =
B =
+
1
3.4
+ +
...
1
117 118
=
n=1
B, where
The sigma notation of the sum for this problem has the parameters given as follows:
A = 117.B = 1/[n(n + 1)]How to write the sigma notation of the sum for this problem?To write the sigma notation for the sum in this problem, we must identify the pattern in the sum.
We have that in each term, a numerator of 1 is divided by the index n multiplied by one plus the index, hence the parameter B is given as follows:
B = 1/[n(n + 1)]
The last terms are 117 and 118, meaning that n = 117, hence the parameter A, representing the upper end of the sum, is given as follows:
A = 117.
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HELP PLEASE!! THANKS. In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.9 centimeters (cm). The margin of error is
0.9 cm. Determine the sample size required to have a margin of error of 0.4 cm with a 99% confidence level.
The required sample size is what. (Round up to the nearest whole number.)
NO LINKS!!! URGENT HELP PLEASE!!!
Consider the following
θ = 1.4, d= 160 cm
a. Find the length of the arc that subtends the given central angle θ on a circle of diameter d. _________ cm
b. Find the area of the sector determined by θ. _________ cm^2
Answer:
a) 112 cm
b) 4480 cm²
Step-by-step explanation:
Given:
θ = 1.4 radiansd = 160 cmThe diameter of a circle is twice its radius. Therefore, the radius of the circle is:
[tex]\implies r=\dfrac{d}{2}=\dfrac{160}{2}=80\; \sf cm[/tex]
Part (a)To find the length of the arc that subtends the given central angle θ on a circle of diameter d, use the arc length formula.
[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Arc length}\\\\Arc length $=r \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}[/tex]
Substitute the values into the formula:
[tex]\begin{aligned}\implies \sf Arc\; length&=r \theta\\&=80 \cdot 1.4\\&=112\; \sf cm\end{aligned}[/tex]
Therefore, the length of the arc that subtends the given central angle θ on a circle of diameter d is 112 cm.
Part (b)To calculate the area of the sector determined by θ, we can use the area of a sector formula.
[tex]\boxed{\begin{minipage}{6.4 cm}\underline{Area of a sector}\\\\$A=\dfrac12 r^2 \theta$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $\theta$ is the angle measured in radians.\\\end{minipage}}[/tex]
Substitute the values into the formula:
[tex]\begin{aligned}\implies \sf Area\;of\;a\;sector&=\dfrac{1}{2}r^2\theta\\\\&=\dfrac{1}{2} \cdot 80^2 \cdot 1.4\\\\&=\dfrac{1}{2} \cdot 6400 \cdot 1.4\\\\&=3200 \cdot 1.4\\\\&=4480\; \sf cm^2\end{aligned}[/tex]
Therefore, the area of the sector determined by θ is 4480 cm².
If the volume of the cylinder is 90 cm3, what is the volume of the cone?
Answer:
Give that the volume of the cylinder is 90cm³, the volume of the cone is (1/3)*90cm³ =30cm³
Help me out please I’m so lost
The relations between facing and bisected angle in the kite are proven as follows
3. The completed two column tables used to prove the specified relations are presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex] [tex]{}[/tex] 1. Given
2. [tex]\overline{CB}[/tex]≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] 2. Given
3. Construct [tex]\overline{AC}[/tex] 3. Euclid's postulate #1
4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex] 4. Reflexive property
5. ΔABC ≅ ΔADC [tex]{}[/tex] 5. SSS congruence rule
6. ∠ABC ≅ ∠ADC [tex]{}[/tex] 6. CPCTC
4. The prove that the diagonals congruent sides bisect the angles.
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{AB}[/tex] ≅ [tex]\overline{AD}[/tex] 1. Given
2. [tex]\overline{CB}[/tex] ≅ [tex]\overline{CD}[/tex] 2. Given
3. Construct [tex]\overline{AC}[/tex] 3. Euclid's postulate #1
4. [tex]\overline{AC}[/tex] ≅ [tex]\overline{AC}[/tex] 4. Reflexive property of congruence
5. ΔABC ≅ ΔADC [tex]{}[/tex] 5. SSS congruence rule
6. ∠CAB ≅ ∠CAD [tex]{}[/tex] 6. CPCTC
What is an angle bisector?An angle bisector is a segment that divides an angle to form two angles of the same measure.
The details of the reasons used to prove the specified relations are presented as follows;
Euclid's postulate #1
Euclid's postulate #1 states that a straight line can be drawn from any one point to another point.
Reflexive property
The reflexive property of congruence states that a segment is congruent to itself
SSS congruence rule
The SSS, which is an acronym for Side-Side-Side, congruence rule states that the if three sides on one triangle are congruent to three sides on another triangle, then the two triangles are congruent
CPCTC
The acronym CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.
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Five times a number is divided by 7 more than the number. If the result is 0, then what was the original number?
Write an expression to represent:
1 less than the quotient of 4 and x
Answer:
(4/x) - 1 is the way to represent this equation.