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
Licemer1 [7]
3 years ago
6

Find x and y, given that line WS and line VT are parallel. Show all work!

Mathematics
1 answer:
bulgar [2K]3 years ago
7 0

In the given diagram, the traingles USW and UTV are similar triangles and thus the following ratio equality applies to them.

\frac{VT}{WS} =\frac{VU}{WU}=\frac{TU}{SU}..........(Equation 1)

Checking the diagram given, we see that:

VT=y, WS=22, VU=8, ST=x-2

WU=WV+VU=12+8=20

TU=5

SU=ST+TU=(x-2)+5=x+3

Thus, substituting the required values in (Equation 1) we get:

\frac{y}{22}=\frac{8}{20}=\frac{5}{x+3}

Now, as can be clearly seen, to find y we will use the first two ratios as:

\frac{y}{22}=\frac{8}{20}

y=\frac{8\times 22}{20}=8.8

In a similar manner, to find the value of x we can use the last two ratios:

\frac{8}{20}=\frac{5}{x+3}

After cross multiplication we get:

5\times 20=8(x+3)

Which can be simplified as:

x+3=\frac{100}{8} =12.5

Thus, x=12.5-3=9.5

Therefore, the required answer is:

x=9.5 and y=8.8



You might be interested in
HELPPPP PLEASEEE I NEEEDDD HELPPP
aleksandrvk [35]

Answer:

113.04cm²

Step-by-step explanation:

area of circle= π r²

Area= 6* 6*3.14=113.04 cm²

8 0
2 years ago
Read 2 more answers
Determine whether the equation is always sometimes or never true 2(5x+4)=10x+6
Usimov [2.4K]
This equation is NEVER true. Let's solve the equations algebraically by applying the Distributive Property of Multiplication and transposing the terms across the equality sign. The solution is as follows:

<span>2(5x+4)=10x+6
10x + 8 = 10x + 6
10x - 10x = 6 - 8
0 = -2

Therefore, it is not true.</span>
3 0
2 years ago
Workings please......
attashe74 [19]

Answer:

21.142

Step-by-step explanation:

not sure it's correct

3 0
2 years ago
PLEASE HELP ME QUICK what is the simplified form of x+9/x+1 + x-2/5?
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

C and D are both wrong for the same reason. The denominator should be (x +1)*5 which means that either A or B is correct.

C and D have an error seldom seen on Brainly. It means that the denominator has been added rather than multiplied but even the addition is a little strange. Frankly, I don't know what has to be done to get either of them.

So the answer is

numerator: 5*(x + 9) +  (x + 1)(x - 2)

denominator: 5*(x + 1)

Simplify the numerator. Remove the brackets.

numerator: 5x + 45 + x^2 - 2x + x - 2               Gather like terms

numerator: x^2 + 5x - 2x + x + 43                      Simplify

numerator: x^2 + 4x + 43

Answer

x^2 + 4x + 43

==========

5(x + 1)


7 0
3 years ago
Lolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
Dafna1 [17]

Answer:

The trapezoid.

Step-by-step explanation:

:}}}}}}}}}}}}}}}}}}}}

6 0
3 years ago
Read 2 more answers
Other questions:
  • Reyna's health insurance plan requires that she have a physician who manages all of her health care. Reyna, most likely, has wha
    5·2 answers
  • If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 wi
    15·1 answer
  • Renting Boats on a lake costs $22 per hour plus a flat fee of $10 for insurance. If you paid $98 to rent the boat, how many hour
    10·1 answer
  • Could someone help me solve this step by step..thxx​
    12·2 answers
  • Order the sides of each triangle from shortest to longest.
    10·1 answer
  • Determine the value of 3'+ 3²+3³.​
    8·2 answers
  • I was distracted
    7·1 answer
  • TVs are measured by
    6·1 answer
  • Paco is trying to explain to his friend that 7 divided by 2 is 7/2 draw a model or number line showing 7 divided by 2 = 7/2
    12·1 answer
  • Formula for face diagonal?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!