1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
What is 12.05 as a fraction
hram777 [196]

Answer:

241/20

Step-by-step explanation:

mmnmmmmmmnmmmmmm

4 0
3 years ago
Need help please!!!!!
Yanka [14]

Answer:

Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3

Step-by-step explanation:

We can set up a proportion comparing the sides of the original triangle to the new triangle.

The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.

We can write 3 ratios, with the length of the new triangle over the length of the old triangle.

8/12  e/9  f/5

To figure out e and f, put each ratio equal to 8/12.

<u>8  </u> =  <u>e</u>  Then multiply both sides of the equation by 9 and get <u>72 </u> = e, 6=e.

12     9                                                                                              12

<u>8  </u> =  <u>f </u> Then multiply both sides of the equation by 9 and get <u>40 </u> = f, <u>10</u>=f.

12     5                                                                                              12          3

10/3 can be rewritten as 3 1/3.

6 0
2 years ago
I need this ASAP please
Damm [24]

Answer:

Option h: 16h

Step-by-step explanation:

To get the answer to the question divide 480 by 30 to get the rate which is 16. So the answer would be H

7 0
2 years ago
Dimensional analysis. An adult mosquito's lifespan is about 16 days. How many minutes is that?
masya89 [10]

Answer:

23,040 minutes

Step-by-step explanation:

16 days = 384 hours = 23,040 minutes

4 0
3 years ago
Read 2 more answers
What is the inverse of f(x) = 19/x^3
Gre4nikov [31]
Y = f (x) = 19 / x^3 and g (y) = x 
<span>g is inverse of f </span>

<span>x^3 = 19 / y </span>
<span>x = [ 19 / y ]^(1/3) </span>
<span>g (y) = [ 19 / y ]^(1/3) </span>
<span>g (x) = [ 19 / x ]^(1/3)________inverse function.</span>
6 0
3 years ago
Other questions:
  • a rectangular frame has a length of 3 and 1/8 feet and an area of 2 and 3/4 feet.what is the width,w, feet,of the fame? please a
    11·2 answers
  • What is the answer. to.
    10·1 answer
  • Does -3x+3y=12 and y=x+4 homy many solutions
    9·1 answer
  • Whats the length of 5 rulers in feet
    8·1 answer
  • What type of number is -2343
    14·1 answer
  • What is - v + 12 v. Please answer asap
    6·2 answers
  • HELPPPPPPPP MEEEEE please
    9·1 answer
  • I need help ??!!!!! Please
    12·1 answer
  • Help with the attachment please it would be so much help!!!!
    14·1 answer
  • Will mark brainliest for whoever answers correctly
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!