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
SCORPION-xisa [38]
3 years ago
8

If UV=x+13 and RT=x-37, What is the value of x?

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer:

x = 87

Step-by-step explanation:

the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).

Then, we have that the ratio SR / SV is the same as RT / UV:

SR / SV = RT / UV = 1 / 2

RT * 2 = UV

2*(x - 37) = x + 13

2x - 74 = x + 13

x = 87

You might be interested in
Which of the following is not an identity?
Shkiper50 [21]
A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x 
- sin² x / sin x = - sin x
- sin x = - sin x     ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x  ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x   ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity. 
8 0
2 years ago
Directions: Use the figure to write the symbol for each.
choli [55]
These are my notes that you can use
5 0
2 years ago
1. The Crusaders have won 11 games and lost 9 games this season. What percent of its games
Nat2105 [25]
C. 55%
The crusaders won 55% of 20 games
6 0
3 years ago
Solving Systems of Equations by Substitution<br><br> y=1/2x+5<br><br> y=-3/2x-7
DerKrebs [107]
\left\{\begin{array}{ccc}y=\frac{1}{2}x+5\\y=-\frac{3}{2}x-7\end{array}\right\\\\subtitute:\\\\\frac{1}{2}x+5=-\frac{3}{2}x-7\ \ \ \ |subtract\ 5\ from\ both\ sides\\\\\frac{1}{2}x=-\frac{3}{2}x-12\ \ \ \ |add\ \frac{3}{2}x\ to\ both\ sides\\\\\frac{4}{2}x=-12\\\\2x=-12\ \ \ \ |divide\ both\ sides\ by\ 2\\\boxed{x=-6}\\\\subtitute\ value\ of\ "x"\ to\ first\ equation:\\\\y=\frac{1}{2}\cdot(-6)+5=-3+5=\boxed2\\\\Answer:\boxed{\boxed{x=-6\ and\ y=2}}
4 0
3 years ago
(-3×-7)+(4x+7) pleasw solve this
exis [7]
First do the equations in the parentheses 

(21)+(28) the first one isn't negative anymore because a negative times a negative is a positive. 
Now we just add them, 21+28=49
5 0
3 years ago
Read 2 more answers
Other questions:
  • The price for digital downloads of music is represented by the linear functions f(x) shown on the graph. The price for digital d
    8·1 answer
  • Need help with this one
    6·2 answers
  • A right triangle has a leg measuring 52 m and a hypotenuse measuring 63 m. find the length of the other leg.
    8·1 answer
  • Which is a correct classification for the triangle?
    6·1 answer
  • You are making flour and water paste. You add 14 cup of water to the paste. Your friend adds 12 cup of water to the paste. How m
    8·1 answer
  • If there are 20 pencils and 5 students,write as a ratio for pencils to students in 3 ways.
    5·1 answer
  • 2
    8·1 answer
  • Y = a( x-h)^2 + k
    15·1 answer
  • What is the product?
    15·1 answer
  • Graph the line with slope -2/3<br> passing through the point (-4,5).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!