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3 years ago

12

If m∠2 = 130°, what is m∠6?

1 answer:

slega [8]3 years ago

8 0

Answer:

m<6 = 130°

Step-by-step explanation:

If m∠2 = 130°, what is m∠6?

Find the diagram attached

From the digram we can see that the vertical lines are parallel. Hence based on geometry;

m<2 = m<6 (corresponding angles)

Given m<2 = 130°, hence m<6 = 130°

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(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each

den301095 [7]

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$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

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3 years ago

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2 years ago

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

bulgar [2K]

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

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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

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3 years ago