I know this is easy for some, but I have no idea what happened here. Can someone explain to me? These are congruent triangles.

8x -13 = 5x + 17
3x = 30
x = 10​

Answers

Answer 1

The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

Given that,

The sides as 8x-13 and 5x+17

We have to find the x value.

If two or more triangles are congruent, it depends on how big their sides and angles are. The three sides and three angles of a triangle determine its size and shape, accordingly. Two triangles are said to be congruent if the pairings of respective sides and corresponding angles are equal.

We say now,

8x-13 = 5x+17

8x-5x=17+13

3x=30

x=30/3

x=10

Therefore, The x value we get is 10 when the sides are 8x-13 and 5x+17 in a congruent triangle.

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Related Questions

differentiate y=in(3-4cosx)​

Answers

For given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

In this question, we have been given an equation y = ln(3 - 4 cos(x))​

We need to differentiate y = ln(3-4cosx)​

dy/dx

= d/dx(ln(3 - 4 cos(x))​)

= 1/(3 - 4 cos(x))​ * d/dx(3 - 4cos(x))               .......(by Chain rule)

= 1/(3 - 4 cos(x))​ * [4 sin(x)]

= 4sin(x) / (3 - 4cos(x))

Therefore, for given equation y = ln(3 - 4 cos(x))​,

dy/dx =  4sin(x) / (3 - 4 cos(x))

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Evaluate the power.

0.5² =
(Type a whole number or a decimal.)

Answers

Answer of the power:
0.25


After a 31% mark up, you purchase a new television for $524. What was the original price of the television?

Answers

Answer:

162.4$

Step-by-step explanation:

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The box plot shows the times for sprinters on a track team.

(A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.)

What is the value of the upper quartile?

Answers

The five number from the box plot is presented as follows:

Minimum value: 44.First quartile: 48.Median: 50.5.Third quartile: 53.Maximum value: 56.

What does a box-and-whisker plot shows?

A box and whisker plot shows five things of a distribution, listed as follows:

The data set's lowest value.

The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.

50% of the data set is less than the median and 50% is more than the median, which is the midpoint value of the data set.The third quartile, which is the median of the data set's top 50% of measurements, is the value that 75% of the measures fall below.

The data set's maximum value.

These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.

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For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 6 or greater than 9.
The probability that the sum will be less than 6 or greater than 9 is

Answers

The probability that the sum is 5/9.The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa).

What is the likelihood of rolling two dice together?

The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa). Given that this is feasible 4 times out of 36, the probability calculated by adding the two dice is 4/36, or 1/9.

I am assuming that you are rolling two dice.

Probability of even: 18 "evens" out of 36 total outcomes = 18/36

→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36

→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)

Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36

→(4,6), (5,5), (6,4), (6,6)

evens   OR    >9s    NOT both

18/36 + 6/8 - 4/36 = 20/36 = 5/9.

The probability that the sum is 5/9.  

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A car can travel
198 miles on 9
gallons of
gasoline. How
much gasoline will
it need to go 462
miles?

Answers

Answer:

21 gallons

Step-by-step explanation:

[tex]\frac{9}{198} \times 462 \\ \\ =\frac{462}{22} \\ \\ =21[/tex]

21 gallons


explanation : 198/9= 22

therefore 22 miles per gallon

462/22=21

The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V = 70 cm^3 when T = 420 kelvin and P = 18 kg/cm^2. Find the pressure when T = 140 kelvin and V = 60 cm^3.

Answers

The pressure of the gas is 7kg/cm^2.

How to determine the pressure of the gas?

Joint Variation is a situation in which the value of one variable depends on two, or more, other variables when the other variables are held constant

Given that: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. This can be written as:

VαT and Vα 1/P

Combining the two relations gives:

Thus Vα T/P  

V = kT/P        (where k is a constant)

PV=kT

k = PV/T

P =kT/V

Given: V = 70 cm^3

when T = 420 kelvin

P = 18 kg/cm^2

k = 18×70 / 420

k = 1260/420

k = 3

Given: T = 140 kelvin and

V = 60 cm^3.

Find the pressure

P = kT/V

P = 3×140/60

= 420/60

= 7kg/cm^2

Therefore, the pressure when T = 140 kelvin and V = 60 cm^3 is 7kg/cm^2.

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Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.

x^2 = –3y
y^2 = –3x
x^2 = 12y
y^2 = 12x

Answers

The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)

How to derive the equation of the parabola

In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:

4 · p · (x - h) = (y - k)²

Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.

First, determine the coordinates of the vertex:

(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)

(h, k) = (0, 0)

Second, calculate the distance from the vertex to the focus:

p = 3 - 0

p = 3

Third, write the vertex form of the parabola:

y² = 12 · x

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Salina and Nessa combined like terms using the same expression. Salina’s answer differs from Nessa’s. The table shows both of their solutions.

Salina
Nessa
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + x squared y + 2 x y squared + 2 x y
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + 2 x y squared + 2 x y

Which statement is correct regarding their solutions?
Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.
Salina did not add the constant terms correctly.
Nessa combined the constants correctly but then left the Plus 2 x y squared term in her answer
Nessa did not combine the x squared y terms correctly.

Answers

The statement that is correct regarding their solutions is A. Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.

How to illustrate the expression?

From the information, Salina and Nessa combined like terms using the same expression.

The expression given is illustrated as.

6x²y - 3 + x²y + 2xy² + 2xy - 6

It should be noted that the like terms are:

6x²y and x²y as well as -3 and -6.

Combine the like terms

6x²y + x²y = 7x²y

Also, -3 + (-6) = -9

Therefore, the value will be 7x²y + 2xy² + 2xy - 9

The correct option is A as it illustrated the mistake Salina made.

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Answer:

A is the answer

Step-by-step explanation:

What is the slope-intercept form of the equation of the line shown in the graph?

Answers

An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.

How to calculate the slope-intercept form of the equation?

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

m represents the slope.x and y are the points.c represents the intercept.

From the graph of this line, we have the following parameters:

Point (x, y) = (60, 50)

Point (x, y) = (20, 80)

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (80 - 50)/(20 - 60)

Slope, m = 30/40

Slope, m = 3/4 or 0.75

At point (60, 50), the intercept is given by:

y = mx + c

50 = 0.75(60) + c

50 = 45 + c

Intercept, c = 50 - 45

Intercept, c = 5.

Now, we can write the equation of this line in slope-intercept form as follows:

y = 0.75x + 5 or 3x/4 + 5.

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2(x+5)=20 what does x===???????????????????/

Answers

Answer:

x = 5

Step-by-step explanation:

2(x+5) =20  Distribute the 2

2(x) + 2(5) = 20

2x + 10 = 20  Subtract 10 from both sides of the equation

2x = 10  Divide both sides by 2

x = 5

Answer:

5

Step-by-step explanation:

2(x + 5) = 20 Divide both sides by 2

x + 5 = 10

x = 10 - 5

x = 5

The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height

Answers

Answer:

150% = 132 cm, 25%= 22 cm, 100%= 88 cm

Given:

Height of Odalis = 132 cm

This height is 150%

Divided into 6 parts.

To find: Different percentages of Dallas's Height

Solution:

Dalia's Height = Odalis height * (100/150)

= 132 cm * (2/3)

= 88 cm.

150% of Dallas's Height is 132 cm.

25% of Dalia's Height =  1/4 * 88 = 22 cm

100% of Dalia's Height = 88 cm.

This can also be taken by parts.

6 parts =  150%

1 part =  150/6 = 25%

And 6 parts = 132 cm,

so, 1 part = 132/6 = 22cm.

so , 25% = 1 part= 22cm.

100% = 4 parts = 22*4 = 88 cm.

150% = 6 parts = 22*6 = 132 cm.

Hence, 150% = 132 cm

25%= 22 cm

100%= 88 cm

Step-by-step explanation:

Answer:The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.

132

Height (cm)

150%

Complete the table to show different percentages of Dalia's height.

Percentage

150% of Dalia's height

25% of Dalia's height

100% of Dalia's height

Step-by-step explanation: Just look at the awnser

Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114

Answers

I think it is (x - 5)² = 39

Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?

x < –3
x > –3
x < 3
x > 3

Answers

The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.

How to solve inequality?

Inequalities are expressions that have the <, >, ≤ and ≥ signs.

Therefore, let's solve the given inequality as follows:

–2(5 – 4x) < 6x – 4

open the brackets on the left side

–2(5 – 4x) < 6x – 4

-10 + 8x < 6x - 4

add 10 to both sides of the inequality

-10 + 8x < 6x - 4

-10 + 10 + 8x < 6x - 4 + 10

8x < 6x + 6

subtract 6x from both sides of the inequality

8x < 6x + 6

8x - 6x < 6x - 6x + 6

2x < 6

divide both sides of the inequality by 2

2x < 6

2x / 2 < 6 / 2

x < 3

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Given that (x - 2) is a factor of x³ + x² - 5ax + 2a², 'a' can take the value of 2 or which other number?​

Answers

well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.

well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) =  0, so let's use that

[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]

Please help it's due to tomorrow

Answers

Answer:

Account A is incorrect the interest that you would earn is $8.60, not $860.00

Step-by-step explanation:

Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.

Answers

Proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.

Explain quadrilaterals.

A quadrilateral is a closed shape created by uniting four points, any three of which cannot be collinear. Four sides, four angles, and four vertices make up a quadrilateral.

Quadrilaterals have a few characteristics. The list is as follows.

Each side has four sides.

Each of them has four vertices.

Two diagonals are present.

360 degrees is the sum of all interior angles.

Given, to prove if a quadrilateral is a square, then the quadrilateral is a rectangle.

The Square has four equal sides, and all four angles are right-angled.

Rectangle has equal opposite sides, and all four angles are the right angle.

Here, the two sides of the square can be increased to form a rectangle.

Hence, proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.

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A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

150 adult tickets where sold

Step-by-step explanation:

If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.

Finding slope for (-1,1) and (5,4)

Answers

Answer:

Slope = 0.75

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

4-1/5-1=3/4=0.75

f(x)=x² +6
Find an equation for the tangent line to the graph of f(x) = x² +6 at (5,31).
y=

Answers

Answer:

y = x^2 + 6       given equation

y = m x + b        equation of straight line required

dy/dx = 2 x       tangent to given curve

dy/dx = slope = 2 * 5 = 10

Thus our line must be of the form

y = 10 x + b

31 = 10 * 5 + b       at the point required

b = 31 - 50 = -19

Then our final equation becomes

y = 10 x - 19

What is the largest multiple of 30 which is less than 520?

Answers

The largest multiple of 30 that is less than the number, 520, can be found to be 510.

How to find the multiple?

To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:

= 520 / 30

= 17.333

Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.

The multiple of 30 that is the largest and below 520 is then:

= 30 x Rounded down result of division of 520

= 30 x 17

= 510

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in​ 2017, a journal reported on trends in​ sugar-sweetened beverage​ (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a​ 24-hour period. The study was done in 2005 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the accompanying table

Answers

The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:

(0.11, 0.146).

How to find the confidence interval for the difference of proportions?

The first step is finding the proportion and standard error for each sample, as follows:

2005: [tex]n = 3486 + 2248 = 5734, p_1 = \frac{3486}{5734} = 0.608, s_1 = \sqrt{\frac{0.608(0.392)}{5734}} = 0.0064[/tex]2014: [tex]n = 2754 + 2980 = 5734, p_2 = \frac{2754}{5734} = 0.48, s_2 = \sqrt{\frac{0.48(0.52)}{5734}} = 0.0066[/tex]

For the distribution of differences, the mean and the standard error are given as follows:

p = 0.608 - 0.48 = 0.128.s = sqrt(0.0064² + 0.0066²) = 0.0092.

The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:

p ± zs.

The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.

Hence the lower bound of the interval is:

0.128 - 1.96 x 0.0092 = 0.11.

The upper bound of the interval is:

0.128 + 1.96 x 0.0092 = 0.146.

What is the missing information?


The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.

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one number is 10 more than another. their product is -25

Answers

Answer: resource - trust me bro

Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20

A car dealership decreased the price of a certain car by 5%. The original price was $47,200.
What is the new value and the original value?

Answers

Answer:

New: $44,840 Original: 47,200

Step-by-step explanation:

You have to multiply 47,200 by 95% or 0.95

A margin of error tells us:

Answers

The margin of error tells you how many percentage points your results differ from the true population value.

What is margin of error?

The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.

The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.

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33 is 15 less than k

Answers

33 = K - 15
+15
48 = K
K = 48

a) 50 students in a hostel had provisions for 60 days. (i) How long would the provisions last for 1 student? (ii) How long would the provisions last for 40 students?​

Answers

Answer:0.8

Step-by-step explanation:

0.8 can be used for 1 student and 40. :)

The values are;

i, For 1 student, it would take = 1 1/5 days

ii. For 40 students, 48 days

How to determine the days

First, we need to know that proportion is an equation made equal to another.

From the information given, we have that;

50 students in a hostel had provisions for 60 days.

This is represented as;

50 students = 60 days

Then, we get that;

i, If 50 students = 60 days

1 students = x days

cross multiply the values

x = 60/50

x = 1 1/5 days

ii.  If 50 students = 60 days

40 students = x days

x = 60(40)/50

divide the values

x = 48 days

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Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹

Answers

Answer: The answer is D bc i did the test before hope you have a great day:]

Step-by-step explanation:

8

x

5

6

x

4

+

12

x

3

Given m=-1/2 and n= -1/3 which is greater

Answers

Answer: n is greater than m

Step-by-step explanation:

if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)

so n is greater (remember its negative so higher numbers are actually lesser in value)

Hope this helped... :)

Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.

M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?

Answers

First, we need to write an equation. Because there’s 2 markings around both angle M and angle P, they are congruent. From there, we can say:

6x-6 = 4x + 10
This equation is to solve for x

2x-6 = 10 (Subtract 4x from both sides)
2x = 16 (Add 6 to both sides)
x = 8 (Divide both sides by 2)

Then, plug in 8 to x. You’ll get 48-6 is the measure of angle M, so the answer is 42 degrees. Hope this helps

ANSWER: 42 degrees
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They appear only on maps for the purpose of allotting back-country hiking permits. A portion of one of the tracts is even more special. It's off-limits. It's called Sable Pass, 60 or so square miles of lumpy tundra protected against human intrusion, except for scientists who have carved themselves an exemption. The purpose is to give wildlife one true sanctuary from people. Sable Pass is in my thoughts because the last of the nation's public lands are in political play these days, and too often we limit the discussion to how these lands should be "used." Backpackers versus Jeeps. Oil drilling versus caribou. Tree cutters versus tree huggers. Jobs versus recreation. I would feel better about the future if our political debate about public lands accounted for the intangible, but vital, need for wilderness. Not just for nature's sake but for the sake of our souls. Can elk live on pastures with cows? Yes. Can caribou co-exist with oil rigs? They do. Grizzly bears can live in garbage dumps too. But wilderness, true wilderness, does not exist with cow pastures and oil rigs and garbage dumps. Wilderness is not defined by how it can be used. Like Sable Pass, wilderness is about not using it at all. Except to preserve our diminishing sense of wonder.9Based on the tone of this passage, the author is most likely a member of which group? A. a garbage collection agency B. an organization for farmers C. a hiking and camping club D. a logging company Which of the following is an example of appropriate online communication? a) Someone sending you a photo that makes you uncomfortable b) Using the internet to keep up with friends and family c) Someone asking for details about where you live d) Arranging a meeting with someone you met on the internet on december 1, simpson marketing company received $8,100 from a customer for a 2-month marketing plan to be completed january 31 of the following year. the cash receipt was recorded as unearned revenue. the adjusting entry for the year ended december 31 would include: Using a person who is not a saint yet (blessed, venerable, or servant of god), research where they are on their path of canonization. please can somone help me i will give brainly Which of the following is an example of neocolonialism?European countries control other people and their territories by appointing foreign government officials to rule the territory.The United States provides foreign monetary aid to Asian countries in exchange for tariff-free ports for economic gain.Wealthy world powers hold extensive influence over less powerful countries through economic and political strategies that increase revenue for the wealthy country.Middle Eastern countries supply petroleum products to Indonesian countries at reduced cost for safe passage through the Malacca StraitTwo world powers agree to a non-invasion pact in sub-Saharan Africa to protect economic interests in mineral mines. [tex]\sqrt{|x|^2} =x[/tex]Answer? please help what is the answer and how do you do it Find the values of x and y that satisfy the equation.22 + 1/5yi = 2x - 2 Identify two raw materials necessary for photosynthesis.