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2 years ago

Triangle RSV is congruent to triangle TVS. Find x and y.

Mathematics

2 answers:

inn [45]2 years ago

8 0

If these triangles are congruent, then side RS is congruent to side TV and that means that y = 4 - x. If y = 4-x, we can sub that into the next equation where side RV = side ST and 1 = 4x - y. If y = 4-x, we sub in accordingly to get 1 =4x - (4 - x). That simplifies to 1 = 4x - 4 + x which is, combining like terms, 5 = 5x. That means that x = 1. If x = 1, and y = 4 - x, then y = 4 - 1 and y = 3. There you go!

frozen [14]2 years ago

3 0

Given that Triangle RSV is congruent to triangle TVS.

We know that corresponding sides are equal in congruent triangles.

Corresponding equal pair sides in congruent triangles are:

RS=TV, SV=VS, RV=TS

Now plug the given values from picture we get:

y=-x+4, SV=VS, 1=4x-y

so now we have to solve above equations y=-x+4 and 1=4x-y

plug value of y=-x+4 into 1=4x-y

1=4x-(-x+4)

=> 1=4x+x-4

=> 1=5x-4

=> 1+4=5x-4+4

=> 5=5x

=> 5/5=5x/5

=> 1=x

now plug value of x=1 into above equation y=-x+4

y=-x+4=-1+4=3

Hence final answer is x=1, y=3

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1 year ago

Ella is making three batches of banana milkshakes she needs 3/4 gallon of milk for each batch her measuring cup oats 1/4 gallon

VARVARA [1.3K]

For three batches
we will multiply the fractions by 3
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8 0

2 years ago

The management of the unico department store has decided to enclose an 833 ft2 area outside the building for displaying potted p

joja [24]

The dimensions would be 28.9 for the steel length and 28.8 for the pine boards, for a total cost of $403.40.

To maximize area and minimize perimeter, you want a figure that is as close to equilateral as you can get. Therefore we take the square root of our area:

√833 = 28.9.

Dividing 833/28.9 we get 28.8.

We want to use the shorter side, 28.8, for the pine boards, as they cost more. 28.8*2*6 = 345.60.

The cost of the steel side is given by 28.9*2 = 57.80.

Together it costs 345.60+57.80 = 403.40.

6 0

2 years ago

Raymond has two seven foot long boards, and wants to cut fifteen inch long peices from each; what is the greatest number of peic

anastassius [24]

7ft = 84in 84 ÷ 15 = 5.6 pieces he can cut from each board. Since .6 is not a whole piece measuring 15 inches long, he can only cut 5 pieces from each board.

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He would be able to cut 10 pieces measuring 15 inches long.

Hope this helps :)

7 0

2 years ago

Read 2 more answers

Use the figure below. What is m

tankabanditka [31]

Answer:

150

Step-by-step explanation:

90-60 is 30

180-30 is150

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2 years ago