Determine the value of y that maintains the congruence of the figures.

Determine The Value Of Y That Maintains The Congruence Of The Figures.

Answers

Answer 1

Answer:

We conclude that the value of y = 11 cm.

Step-by-step explanation:

Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.

Thus,

The length of DQ = The length of EL

Given

The length of DQ = 3y - 1

The length of EL = 32 cm

so

The length of DQ = The length of EL

                   3y - 1 = 32

Adding 1 to both sides

              3y - 1 + 1 = 32+1

                        3y = 33

Dividing both sides by 3

                      3y/3 = 33/3

                         y = 11

Thus, the value of y = 11 cm

Therefore, we conclude that the value of y = 11 cm.


Related Questions

Which pairs of angles in the figure below are vertical angles?

Check all that apply.​

Answers

b. and c.

each pair has an opposite angle made by an intersecting line

What is the square root of x?

Answers

cant answer this without giving an equation

Can someone please help :(

Answers

Answer:

1st option, (2x, 2y)

Step-by-step explanation:

If we select any random point on Figure S, let's just say the upper right hand corner of the arrow at (2,3), and compare that to the same point but on Figure T, it is now (4,6). By just looking at the two points, we can see that the x and y values of the point we chose from Figure S had to be doubled to get to that point but in Figure T

Write the expression with fewer terms. Explain or show your reasoning.

10−3+2

Answers

10-3+2 = 9 = 3^2 (3x3=9)

Answer:

Multiple ways to simplify

7+2 (adding 10 and -3)

10-1 (adding -3 and 2)

12-3 (adding 2 and 10)

Step-by-step explanation:

Hope this helps!

Why are the two triangles congruent?

Answers

Answer:

probably A

Step-by-step explanation:

the two triangles are congruent because of the angle side angle postulate

AsA for sure brother

Hi this is algebra:


Question: [tex](x^{3} - x^{2} + 4) - ( 3x^{3} - 2x^{2} + 3)[/tex]


Answers Choices:

(The picture is the answer choices, also ignore the circled one I think I got it wrong)

Answers

Answer:

b. -2x^3 +x^2 +1

Step-by-step explanation:

(x^3 - x^2 + 4) - (3x^3 - 2x^2 +3)

x^3 - 3x^3 = -2^3

-x^2 - (-2x^2) = -x^2 + 2x^2) = x^2

4 - 3 = 1

ABC has A(-3,6),B(2,1),and C(9,5) as its vertices the length of side AB is units . The length of side BC is ?units . The length of side AC is ? Units .ABC ?

Answers

Answer:

The length of side AB is [tex]\sqrt{50}[/tex] units.

The length of side BC is [tex]\sqrt{65}[/tex] units.

The length of side AC is [tex]\sqrt{145}[/tex] units.

Step-by-step explanation:

To find the length of each side, we use the formula for the distance between two points.

Distance between two points:

Points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Side AB:

Points [tex]A(-3,6),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-(-3))^2 + (1-6)^2} = \sqrt{50}[/tex]

The length of side AB is [tex]\sqrt{50}[/tex] units.

Side BC:

Points [tex]C(9,5),B(2,1)[/tex]. So the distance between them is:

[tex]D = \sqrt{(2-9)^2 + (1-5)^2} = \sqrt{65}[/tex]

The length of side BC is [tex]\sqrt{65}[/tex] units.

Side AC:

Points [tex]A(-3,6),C(9,5)[/tex]. So the distance between them is:

[tex]D = \sqrt{(9-(-3))^2 + (5-6)^2} = \sqrt{145}[/tex]

The length of side AC is [tex]\sqrt{145}[/tex] units.

A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?

Can someone help me?

Answers

Answer:

70%

Step-by-step explanation:

385/550 giving you a decimal of 0.7 which is 70%

What is the perimeter of this triangle?
(-4,5)
(8,5)
(8,-4)
A. 36 units
В.
39 units
33 units
D
42 units

Answers

Answer:

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

Step-by-step explanation:

The given points

(-4, 5)(8, 5)(8, -4)

From the table, it is clear the side containing the line segment joining the points (-4, 5) and (8, 5) is a straight horizontal line.

Thus, the length of the horizontal distance from the points (-4, 5) and (8, 5) will be:

8-(-4) = 12 units

From the table, it is clear the side containing the line segment joining the points (8, 5) and (8, -4) is a straight vertical line.

Thus, the length of the vertical distance from the points (8, -4) and (8, 5) will be:

5-(-4) = 9

Now, finding the length of the side containing the segment (8, -4) and (-4, 5) using the formula:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(-4-8\right)^2+\left(5+4\right)^2}[/tex]

[tex]=\sqrt{12^2+9^2}[/tex]

[tex]=\sqrt{144+81}[/tex]

[tex]=\sqrt{225}[/tex]

[tex]=\sqrt{15^2}[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]=15[/tex]

We know that the Perimeter of a rectangle is the length of all the sides of the triangle. Therefore, combining all the lengths of the line segments

Thus,

Perimeter of triangle = 12 + 9 + 15

                                   = 36 units

Therefore, option A is correct.

b) Stephanie has $200 left over this week, and she wants to contribute to a
charitable cause. She can either feed 20 homeless persons two meals in a day
or she can provide shelter for 10 homeless persons one night. What is the
opportunity cost of Stephanie using all her money to shelter homeless people?

Answers

Answer:

she won't have any money herself..?

25x^3+5x^2+30x+6=0 solve

Answers

answer: x is equal to -1/5

Answer:

x = -1/5, x = i sqrt(30)/5,  x = -i sqrt(30)/5

Step-by-step explanation:

25x^3 + 5x^2 + 30x + 6 = 0

5x^2(5x + 1) + 6(5x + 1) = 0

(5x + 1)(5x^2 + 6) = 0

5x + 1 = 0

5x = -1

x = -1/5

5x^2 + 6 = 0

5x^2 = -6

x^2 = -6/5

x = +/- sqrt(-6/5)

x = +/- i * sqrt(30)/5

x = i sqrt(30)/5 or x = -i sqrt(30)/5

Find the value of 92^6/92^2

Answers

Answer:

=92^4 in think

Step-by-step explanation:

What is the solution to the equation 3c

Answers

Answer:

I don’t think its an equation cuase no equal sign so I’m assuming expression

Its already simplified the most

So the simplified version of this is 3c

Write a equation in slope intercept form

Answers

Answer:

[tex]y=\frac{1}{2} x-8[/tex]

Step-by-step explanation:

Slope-intercept form is organized in the form y=mx+b, where m is the slope and b is the y-intercept.

Because we're already given the values, we just have to plug them into the equation.

[tex]y=mx+b\\y=\frac{1}{2} x+(-8)\\y=\frac{1}{2} x-8[/tex]

To graph this equation, first plot a point at (0, -8). This is because the y-intercept is -8, meaning that the line crosses the y-axis when y=-8.

Then, plot the next point using the slope. The slope is equal to the rise/run of the line, or the number of units the line travels upwards / the number of units the line travels to the right. Because the slope is 1/2, we know that for every 2 units a point travels to the right, it goes up by 1 unit.

Please see the picture attached.

I hope this helps!

Write the equation that passes through the following points:

(1,1) and (3,3)

Answers

Answer:

y=x

Step-by-step explanation:

That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).


If you get a raise from $12 per hour to $15 per hour, what is the percent change?

Answers

Answer:

25% change

Step-by-step explanation:

(15 - 12) / 12 = 3/12 = 1/4 = 0.25

25% Change is the answer

There are 5 girls for every 4 boys in the class. What is the ratio of boys and girls?
A. 5 to 4
B. 1 1/4
C. 4 to 5

Answers

The answer is 4 to 5

Answer:

a

Step-by-step explanation:

give branlest pls

(-9c+7)-(6c-7) what is the answer

Answers

Answer:

-15c+14

Step-by-step explanation:

(-9c+7)-(6c-7) (rewrite and remove the parentheses)

-9c+7-6c+ (collect the like terms and calculate)

solution: -15c+14

hope this helps!

how to write 7,-5 into slope intercept form

Answers

I got y=-5 by doing y=mx+b as the formula

Answer:

hey actually its i dont know bro help me get some points

Please help! 20 pts and brainliest!! An isosceles triangle has an angle that measures 124°. Which other angles could be in that isosceles triangle? Choose all that apply. 124, 28, 65, 41

Answers

Answer:

Step-by-step explanation:

In an isosceles triangle, by definition two of the three sides of the triangle are equal to one another. Therefore, the angles opposite to these sides must also be equal. And considering the Triangle Sum Theorem, the angles of a triangle must add up to 180 degrees, the angle that measures 124 degrees cannot be be equal to another angle due to the fact that the sum of them would exceed 180. Therefore let x be the angle:

124+2x=180

2x=56x=28

Please brainlest!

A line passes through the points (4, - 1) and (2,3) what is the slope of the line?

Answers

Answer:

3-(-1)/2-4

=4/-2

=-2

slope=-2

Find the total cost of a jacket for $55 with a sales tax of 2%

Answers

Answer:

$56.10

Step-by-step explanation:

55.00 × .02 = 1.10

55.00 + 1.10 = $56.10

I would like the question In the picture explained and answered

Answers

Answer:

f(-1) = 3, f(3) = 3

Step-by-step explanation:

This question requires that you choose which of the two equations to uses given the value of x. -1 < 1 so you choose equation f(x) = -x + 2 for f(-1). 3 > 1 so you choose f(x) = x² - 4x + 6 for f(3)

Which equation represents a proportional relationship? Oy=2(x + 1) Oy=2 o y = 4x + 3 o y = 32x y​

Answers

Answer:

y=32x shows a proportional relationship.

Step-by-step explanation:

We need to find an equation that shows the proportional relationship.

If x and y are proportional to each other, it will look like,

y = mx

Where

m is constant of proportionality

Out of 4 option, option (4) is y=32x, it shows the proportional relationship where the value of m is equal to 32.

The equation that represents a proportional relationship is y = 32x

What is a proportional relationship?

A proportional relationship usually has the form:

y = kx

Where:

y = dependent variable k = constant of proportionality x = independent variable

In this equation: y = 32x

y = dependent variable 32 = constant of proportionality x = independent variable

To learn more about proportional relationship, please check: https://brainly.com/question/1266676

Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should make more mashed potatoes. In my survey, I found that the ratio of people who prefer mashed potatoes to sweet potato casserole was 7:2. I 18 people preferred sweet potato casserole, how many preferred mashed potatoes? .S​

Answers

Answer:

63 people prefer mashed potatos

Step-by-step explanation:

18 divided by 2 is 9

7 multiplied by 9 is 63

:)

Write down the coordinates of point B?

Answers

Answer:

The answer is 4,5.

Step-by-step explanation:

Go over 4 times and go up 5, and there is your answer.

There are some people in a cinema.
3/5 of the people in the cinema are children
For the children in the cinema,
Number of girls:number of boys = 2:7
Their are 170 girls in the cinema
Work out the number of adults

Answers

Answer:

[tex]Adults = 510[/tex]

Step-by-step explanation:

Given

[tex]Children = \frac{3}{5}[/tex]

[tex]Girls:Boys = 2 : 7[/tex]

[tex]Girls = 170[/tex]

Required

Determine the number of adults

First, we need to calculate the number of children

[tex]Girls:Boys = 2 : 7[/tex]

Given that: [tex]Girls = 170[/tex]

Substitute 170 for Girls in [tex]Girls:Boys = 2 : 7[/tex]

[tex]170 : Boys = 2 : 7[/tex]

Convert to fraction

[tex]\frac{170}{Boys} = \frac{2}{7}[/tex]

Cross Multiply

[tex]Boys * 2 = 170 * 7[/tex]

Divide both sides by 2

[tex]Boys = \frac{170 * 7}{2}[/tex]

[tex]Boys = \frac{1190}{2}[/tex]

[tex]Boys = 595[/tex]

So, the number of children are:

[tex]Children = Boys + Girls[/tex]

[tex]Children = 595 + 170[/tex]

[tex]Children = 765[/tex]

Next, we calculate the number of people in the cinema.

[tex]Children = \frac{3}{5} * People[/tex]

Substitute 765 for Children

[tex]765 = \frac{3}{5} * People[/tex]

Make People the subject.

[tex]People = \frac{765 * 5}{3}[/tex]

[tex]People = \frac{3825}{3}[/tex]

[tex]People = 1275[/tex]

If 3/5 are children, then 2/5 are adults.

So:

[tex]Adults = \frac{2}{5} * 1275[/tex]

[tex]Adults = \frac{2* 1275}{5}[/tex]

[tex]Adults = \frac{2550}{5}[/tex]

[tex]Adults = 510[/tex]

A jar has 250 marbles in it, 40 of which are red. What is the largest sample size we can take from the jar (without replacement) if we want to use the binomial distribution to model the number of red marbles in our sample

Answers

Answer:im not forsure

Step-by-step explanation:

Fill in the missing sign:-
a) =
b) >
c)

Answers

Answer:

the missing sign is for c) is <

A certain ride at an amusement park requires that children be at least 50 inches tall but no more that 65 inches tall. Which of the following absolute values best represents this restriction, where h represents height?

Answers

Answer:

|h-57.5| less than or equal to 7.5

Step-by-step explanation:

Since the question states that a child must be 50 and 65 inches, plug in values that are within this range and determine which answer choice gives a TRUE relationship. Choose 60 for h.

Also, I just did it.

Other Questions
please HELP!!!!Which term refers to the individual locations within a PowerPoint table?O unitsO sectionsO cellsO formulas How might land reform, microcredit, and cooperatives affect the economy? (Social Studies) Need help extra points and mark brainlyist What is the verbal expression 21-18 A type of dripstone formation where the deposits hang from the ceiling of the cave is called a ________________________________.Group of answer choicesstalactitecarbonate rockstalagmite The only question left to be settled now is: Are womenpersons? I scarcely believe any of our opponents will havethe hardihood to say they are not. Being persons, then,women are citizens, and no State has a right to make anynew law, or to enforce any old law, which shall abridge theirprivileges or immunities. Hence, every discriminationagainst women in the constitutions and laws of the severalStates is today null and void, precisely as is every oneagainst negroes.- Susan B. Anthony, 'Speech After Being Convicted ofVoting'In the conclusion of "Speech After Being Convicted of Voting.' why doesSusan B. Anthony make a connection between women's suffrage and thestruggle of black people?A. To appeal to men in the audience who are doubtful of a woman'sintellectB. To appeal to women in the audience who support women'ssuffrageC. To appeal to a population who voted for the abolition of slaveryD. To appeal to members of the audience who are former slaveowners I need help please !! I need help with this problem please? Read the sentence.The fake, counterfeit money, which isn't valid, was discovered in the crime investigation.What is the best way to revise this sentence to eliminate wordiness?The money is not valid because it was counterfeit and discovered in the crime investigation.The counterfeit money was discovered in the crime investigation.Discovered in the crime investigation, the counterfeit money was fake.The sentence is correct as written. please help me for brainliest plz dont play around Which table represents a nonlinear function? How did the United States respond when German U-boats sank the Lusitania Give me liberty or give me deathWhich statement provides an objective summary of the text A 35 foot ladder is leaning against a building. The base of the ladder is 21 feet from the side of the building. How high does the ladder reach along the side of the building? 3 1/4 times 7/8 simplified!!! What happens to plastics put into landfills? choose every answer that appliesA.They can break down into microplastics that pollute groundwater.B.They break down in about 10 years.C.They get buried and are never a problem.D.They can harm animals that get stuck in them. 4. Joey had 26 papers on his desk. His teacher gave him some more and now he has 100. Howmany papers did his teacher give him? Write and solve an equation to represent the situation. HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong? What is the measure of ABC?A. 126B. 82C. 44D. 63 1. In a series circuit, if one bulb goes out the other blubs will stay lit. a. trueb. false