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stepladder [879]
3 years ago
13

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

Mathematics
2 answers:
inn [45]3 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]3 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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answer C

Hyperbolic geometry

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6 0
3 years ago
What is the value of h in the figure below?
yaroslaw [1]

Answer:

12

Step-by-step explanation:

ΔBAD is similar to ΔCBD.  So we can write a proportion:

BD / CD = AD / BD

h / 16 = 9 / h

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h = 12

5 0
3 years ago
A jar Contains 18 strawberry- 24cheery- and 19 lime-flavored candy the rest of the candies are chocolate there are 82 candies an
tresset_1 [31]

Answer:

61 + n = 82

Step-by-step explanation:

So the total number of candy is 82. This is the sum of each type of candy, i.e. 18 + 24 + 19 + n. So we have

18 + 24 + 19 + n = 82

61   +    n            = 82

( if we solve the equation we get n = 82 - 61 = 21)

Hope it helps and if it does please mark me brainliest;)

8 0
3 years ago
Arrange the steps to solve the equation square root x+3 - square root 2x-1=-2
stiv31 [10]

Answer:x=31.4919

Step-by-step explanation:

Step1:isolate a square root on the left hand side√x+3=√2x-1-2

Step2:eliminate the radicals on the left hand side

Raise both sides to the second power

√x+3)^2=(√2x-1-2)^2

After squaring

x+3=2x-1+4-4-4√2x-1

Step3:get the remaining radicals by itself

x+3=2x-1+4-4√2x-1

Isolate radical on the left hand side

4√2x-1=-x-3+2x-1+4

4√2x-1=x

Step4:eliminate the radicals on the left hand side

Raise both side to the second power

(4√2x-1)^2=x^2

After squaring

32x-16=x^2

Step 5:solve the quadratic equation

x^2-32x-16

This equation has two real roots

x1=32+√960/2=31.4919

x2=32-√960/2=0.5081

Step6:check that the first solution is correct

Put in 31.4919 for x

√31.4919+3=√2•31.4919-1-2

√34.492=5.873

x=31.4919

Step7:check that the second solution is correct

√x+3=√2x-1-2

Put in 0.5081 for x

√0.5081+3=√2•0.5081-1-2

√3.508=-1.873

1.873#-1.873

One solution was found

x=31.4919

6 0
3 years ago
A truck rental company charges a one-
Mrac [35]

Answer:

D. 35

Step-by-step explanation:

.8(40+1x)=60

32+.8x=60

.8x=28

x=28/.8

X=35

6 0
3 years ago
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