Explanation:
The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.
Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.
Find the value of x that makes s and t parallel.
3.
3(x-8)"
2(x + 10)"
I
Answer:
x=44
Step-by-step explanation:
If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:
3(x-8)=2(x+10)
3x-24=2x+20
x=44
Hope this is helpful! :)
Answer:
x=36.8
Step-by-step explanation:
We know that the two angles given are supplementary so we can do:
3(x-8)+2(x+10)=180
Then we simplify.
3x-24+2x+20=180
Simplify
5x-4=180
Combine like terms
5x-4=180
+4 +4
5x=184
Divide to make it x alone.
5x=184
/5 /5
x = 36.8
I hope this helped
From the set {6, 16, 24}, use substitution to determine which value of x makes the inequality true. 4 + x < 20 A. 16 B. 6 C. none of these D. 24
================================================
Explanation:
In math, the term "substitution" basically means "replace". Keep in mind that x is a placeholder for a number. Think of it as a box we place a number inside.
We have the items {6, 16, 24} to use as replacements for x. We only do one number at a time
Let's try x = 6
4 + x < 20
4 + 6 < 20 ... replace x with 6
10 < 20 ... this is a true statement as 10 is less than 20
So x = 6 is a solution
Let's try x = 16
4+x < 20
4+16 < 20
20 < 20 ... this is false because we can't have a number smaller than itself
Lastly, let's try x = 24
4+x < 20
4+24 < 20
28 < 20 ... also false; 28 is not smaller than 20
We've shown that x = 16 and x = 24 are not solutions. Only x = 6 is a solution from the set {6,16,24}. This is why the answer is choice B.
-----------------
Alternative method:
4+x is the same as x+4. We can add two numbers in any order we want.
x+4 < 20 solves to x < 16 after subtracting 4 from both sides. So the set of solutions is anything smaller than 16. Looking at {6,16,24} we see that the only allowed answer is x = 6.
x = 16 is not a solution because x < 16 would turn into 16 < 16, but again we can't have a number smaller than itself.
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answer: i think the answer is 1.5
Step-by-step explanation:
PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3
Answer:
[tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{2} cos^{-1} (\pi x)-3[/tex]
Firstly, we've to interchange the variables.
[tex]x = \frac{1}{2} cos^{-1}(\pi y)-3[/tex]
Solving for y
[tex]x = \frac{cos^{-1} \pi y}{2} -3[/tex]
Adding 3 to both sides
[tex]x+3 = \frac{cos^{-1}(\pi y)}{2}[/tex]
Multiplying 2 to both sides
[tex]2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)[/tex]
Taking cosine on both sides
[tex]\pi y = cos (2x+6)[/tex]
Dividing both sides by y
[tex]y = \frac{cos(2x+6)}{\pi }[/tex]
Replace y by [tex]f^{-1}(x)[/tex]
=> [tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Answer:
[tex]\large \boxed{f^{-1}(x)=\frac{cos(2x+6)}{\pi} }[/tex]
Step-by-step explanation:
[tex]\displaystyle y=\frac{cos^{-1} (\pi x)}{2} -3[/tex]
Swicth variables.
[tex]\displaystyle x=\frac{cos^{-1} (\pi y)}{2} -3[/tex]
Solve for y.
Add 3 to both sides.
[tex]\displaystyle x+3=\frac{cos^{-1} (\pi y)}{2}[/tex]
Multiply both sides by 2.
[tex]\displaystyle 2(x+3)=cos^{-1} (\pi y)[/tex]
[tex]\displaystyle 2x+6=cos^{-1} (\pi y)[/tex]
Take the cos of both sides.
[tex]\displaystyle cos(2x+6)=\pi y[/tex]
Divide both sides by [tex]\pi[/tex].
[tex]\displaystyle \frac{cos(2x+6)}{\pi} =y[/tex]
Lee watches tv 3hours per day. Lee tv consumes 200 watts when on. Electricity cost 12 cents 1 kilowatt-hour how much does Lee's tv cost to operate for 30 days
Answer: $2.16
Lee watches TV 3 hours per day and TV consumes 200 watts.
Cost of electricity = 12 cents/(1-kilowatt-hour)
200w×3 hours
600 watt-hours
1000 watt-hours=1kwh
1 watt-hours= 1/1000 kwh
600 watt-hours 600/1000=0.6 kwh
0.6×12=7.2cents
1 day=7.2 cents
30 days
7.2×30
216 cents
$2.16
Answer:
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
Step-by-step explanation:
This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:
Cost = Energy consumed x Time x Unit cost
[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]
[tex]C = 2.16\,USD[/tex]
The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.
Nath is a 23-year-old single male. He is in perfect health, and he has children. Which health
insurance policy is best for him?
Policy 1 Policy 2 Policy 3 Policy 4
Term Term Whole Whole
Term or whole
Death benefit
Protection period
Cost per year
Convertible term
$200,000 $200,000 $200,000 $200,000
26 years 30 years
Life Life
$400 $420 $5000 $8000
No
Yes
Yes
No
Dividends
No
Yes
Yes
Yes
Proceeds paid to beneficiary
Yes
Yes
Yes
Yes
which one?
Policy 2
Policy 1
Policy 4
Policy 3
Answer:
Policy 2
Step-by-step explanation:
I just took the test and got it right
What is the solution to the system of equations below? y = negative one-third x + 6 and x = –6
Answer:2
26x + y = 23 → y = 23 – 6x.
7x + y = 25 → 7x + (23 – 6x) = 25 → x + 23 = 25 → x = 2
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? (I made up these prices!!) 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?).
Answer:
see explanation
Step-by-step explanation:
GC = 11B + 1D
WS = 9B + 2D
Linear equations will point downward
Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.
Aaron covers 300 miles in 6 hours, what's his average speed?
Answer:
50mph
Step-by-step explanation:
Speed=v
time=t
distance=s
v=s/t
v=300m/6h
v=50mph
Let me know if my answer is wrong.
Hope this helps :) ❤❤❤
Answer:
[tex]\boxed{Speed = 50 miles/hr}[/tex]
Step-by-step explanation:
Given:
Distance = S = 300 miles
Time = t = 6 hours
Required:
Average Speed = v = ?
Formula:
Average Speed = Total Distance Covered / Total Time Taken
Solution:
v = S/t
v = 300 miles / 6 hours
v = 50 miles/hr
Identify if the sequence is arithmetic or geometric. Then find the next number in the sequence? 1.9, 4.9, 7.9, 10.9, 13.9, ...
Answer:
arithmetic; d = 3; 16.9
Step-by-step explanation:
4.9 - 1.9 = 3
7.9 - 4.9 = 3
10.9 - 7.9 = 3
13.9 - 10.9 = 3
--
13.9 + 3 = 16.9
Answer:
1. Arithmetic 2. 16.9
Step-by-step explanation:
To solve this problem you will need to know the difference between an arithmetic and a geometric.
An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.
A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.
We can see in the sequence that the number that is being added over and over again is 3 so the first answer is arithmetic.
Now that we know that the sequence is arithmetic and the common difference is 3 we can plug that into the equation and we will see that 13.9 + 3 is 16.9
Which function is graphed?
Answer:
the answer is the last one
Step-by-step explanation:
it is in form of f(x) = mx + b and mx is the slope and b is the y intercept
Answer:
f(x)= 2x - 6
Step-by-step explanation:
A baker starts with 100 pounds of flour. He uses the following quantities in one day: 3 3/8 lb, 18.25 lb, 8.6125 lb, 7 3/4 lb, and three recipes each requiring 5 7/16 lb. How much flour is left at the end of the day?
Answer:
45.7 lb
Step-by-step explanation:
3 3 /8 = 3.375 lb
18.25 lb
8.6125 lb
7 3/4 = 7.75 lb
5 7/16 = 5.4375 lb
Flour required of 3 recipes = 3 * 5.4375 = 16.3125 lb
3.3750 +
18.2500 +
8.6125 +
7.7500 +
16.3125
Quantity of flour used in a day = 54.3000 lb
Quantity of left at the end of the day = 100 - 54.3
= 45.7 lb
Referring to triangle ABC, find the area of the triangle.
a = 4.34 ft, b = 3.78 ft, c = 5.27 ft
Round your answer to three significant digits.
Answer: area of triangle = 13.4 ft ( after rounding the answer to 3 significance figures)
Step-by-step explanation:
formula for the area of triangle
= S + S + S
= 4.34 + 3.78 + 5.27
= 13.9 ft
= 13.4 ( after rounding off to three significant figures )
Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28
Answer:
facil es la D
Step-by-step explanation:
10+6+12 igual a 28
y nada mas ahi que decir el numero de rosas amarillas que es este caso son
6
Respuesta 6:28
Answer:
D. 6:28
Step-by-step explanation:
The total number of flower in bouquet is
=6+10+12
=28
The ratio of number of yellow roses to the total number of roses is 6:28
Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right angle. The length of A D is 5 and the length of B D is 12. What is the length of Line segment B C, rounded to the nearest tenth?
The measure of the length of line segment BC will be 31.2 units.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
The triangle ΔABC and ΔBDA are the similar triangle. Then the ratio of their corresponding sides will be constant.
Let x be the length of BC.
x / 12 = 13 / 5
x = 31.2
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Answer:
31.2 units
Step-by-step explanation:
pls help me i give brainliest
Answer: I Thing the answer may be 7units. Please correct me if i'm wrong
Step-by-step explanation:
Thank you for helping
Answer:
The answer is option B
Step-by-step explanation:
Using BODMAS the expression in the bracket
that's
( 9 + 3) must be solved first
Hope this helps you
15 POINTS!!!!!!!
How is a linear function affected by a horizontal shift?
Answer:
horizontal shift can affect the linear function, because it is impossible to distinguish which transformation was applied by looking at the resulting graph.
Step-by-step explanation:
a horizontal shift is a movement left to right along the x-axis, and in equation of a function it's change in the value of x before it's multiplied by the slope.
Answer:
I agree with Lambina and added this answer so she could get brainliest
Step-by-step explanation:
Which value makes the inequality x^2 ≥ x false?
A. -1/4
B. 0
C. 1/4
D. 1
Answer:
D
Step-by-step explanation:
cas if x =1
then 1^2>or=1
1is not >or=1
A sample of 353 people is surveyed. The people are classified according to political affiliation ("Democrat", "Republican", or "Independent"). They are also
classified according to opinion on a bill ("in favor of", "opposed to", or "indifferent to"). The results are given in the contingency table below.
In favor of
Opposed to
Indifferent to
Democrat
37
33
47
Republican
29
49
35
Independent
41
41
41
What is the relative frequency of respondents who are Republican?
Round your answer to two decimal places.
Х
?
Answer:
[tex]Relative\ Frequency = 0.32[/tex]
Step-by-step explanation:
Given
The table in the attached diagram
Total population of the survey = 353
Required
Relative frequency of respondents who are Republican
First we consider the data in the republican row; this is presented as follows;
Republican: 29 ------ 49 ----- 35
Next, we add up this data to give the total number of respondents who are republicans
Republicans = 29 + 49 + 35
Republican = 113
Recall that
Total population of the survey = 353
The relative frequency is calculated as follow;
[tex]Relative\ Frequency = \frac{Republican}{Total\ Population\ of\ the\ survey}[/tex]
[tex]Relative\ Frequency = \frac{113}{353}[/tex]
[tex]Relative\ Frequency = 0.3201133145[/tex]
[tex]Relative\ Frequency = 0.32[/tex] (Approximated)
Given: Circle k (O), OA and OC -radii, AP and CP - tangents, m∠AOC=150° Find: m∠APC
Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,
Answer:
First part) measuring each plant at the same time each week
Second part) centimeters and the same
Step-by-step explanation:
Answer:
These heights could have been measured by measuring each plant at the same time each week.
The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.
Which expression is correctly written in scientific notation?
A. 398 x 10^1 B. 39.8 x 10^2
C. 3.98 x 10^4 D. .398 x 10^3
Need answer ASAP
Answer:
C. 3.98 x 10^4
Step-by-step explanation:
We are only allowed one non zero digit before the decimal
A. 398 x 10^1 3 non zero digits
B. 39.8 x 10^2 2 non zero digits
C. 3.98 x 10^4 1 non zero digit
D. .398 x 10^3 0 non zero digits
What is the probability of rolling a “4” on a fair 6-sided die and flipping a heads on a fair coin?
Answer:
Die: 16. 2/3%
Coin: 50%
Step-by-step explanation:
Well rolling a 4 on a 6 sided die is 1/6.
To make that a percent we first make it a decimal.
1 ÷ 6 = .16666 repeating
To make this a percent we move the decimal place 2 times to the right.
16.2/3%
The chance of flipping a heads on a fair sided coin is 50% because there are two sides with a 50/50 chance of being either.
Thus,
for rolling a 4 on a 6 sided die there is a 16.2/3% chance and a 50% for flipping a heads on a 2 sided coin.
Hope this helps :)
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.
Answer:
171 points.
Step-by-step explanation:
If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.
The middle score is 91, so the other four scores added together will be 450 - 91 = 359.
The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.
That means that the sum of the two lowest test scores is 171 points.
Hope this helps!
Answer:
The sum of the two lowest test scores is 171.
Step-by-step explanation:
We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.
As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.
Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.
Find the distance between the $x$-intercept and the $y$-intercept of the graph of the equation $3x - 7y = 21$
Answer:
√58 or 7.62
Step-by-step explanation:
x-intercept = (7, 0)
y-intercept = (0, -3)
distance = √(-3 - 0)² + (0 - 7)² = √58 or 7.62
HELP!!!! PLEASE! 10 POINTS Which function is graphed?
Answer:
f(x)=2x-6
Step-by-step explanation:
Because the slope is 2 and the y-intercept is -6.
[tex]x[/tex]Answer:
The answer would be [tex]f(x)=2x-6[/tex]
Step-by-step explanation:
The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.
If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].
Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].
We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].
To check you could just graph this and you would get:
P.S. The f(x) turned into a y in the process:)
When simplified, 4x/7y + 3x/5y is written as?
Answer:
41x/35y
Step-by-step explanation:
combine like terms
HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.
Answer:
75 green marbles
Step-by-step explanation:
From the information given in the question, we can create a ratio representing all the marbles in the bag.
9 red:15 green:6 blue
We need to find the total number of times the student drew a marble by finding the sum
9+15+6= 30
The sample size is 30
150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles
9x5=45
15x5=75
6x5=30
Now we have 45 red: 75 green: 30 blue
Based on the given information, we can predict that the bag contains 75 green marbles
Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
-----------
Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
-----------
Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
