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3 years ago

Which solution for the value of x in the figure below is incorrect? explain

Mathematics

1 answer:

ruslelena [56]3 years ago

4 0

B is wrong because they are not supplementary. they a alternate interior angels so they are equal

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Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ

Alex777 [14]

Answer:

By AA

ΔWXY ~ΔWVZ

Step-by-step explanation:

Here WXY is an isosceles triangle with legs WX & WY

So WX = WY

Hence ∠X = ∠Y

So ∠2= ∠3.

Now by angle sum property

∠1 + ∠2+∠3 = 180°

∠1+∠2+∠2=180°

2∠2 = 180° - ∠1 .......(1)

In triangle WVZ

WV = WZ

So ∠V = ∠Z

∠4 = ∠5

Once again by angle sum property

∠1 + ∠4 + ∠5=180°

∠1 + ∠4 + ∠4 = 180°

2∠4 = 180° - ∠1 ...(2)

From (1) & (2)

2∠2 = 2∠4

∠2=∠4

Now ∠W is common to both triangles

Hence by AA

ΔWXY ~ΔWVZ

8 0

3 years ago

Read 2 more answers

write the point slope form of the equation for a line that passes through the point 3, 1 and is parallel to the line y=3x+3

Galina-37 [17]

Answer:

y=3x-8

Step-by-step explanation:

If the line is parallel to y=3x+3, that would mean that they would have the same slope of 3. Then, once you plug it back into the equation along with the point given, you would get 1=3(3)+b. Solve from there, and you get b= -8. In conclusion, your point slope formula comes out to be y=3x-8.

Hope this helps! :)

4 0

2 years ago

What is 119 times 31%

andrezito [222]

Answer:

61.69?

Step-by-step explanation:

Are you asking what 31% of 119 is? If so, then the answer would be 61.69.

Because (119)0.31=61.69

(To make a percent, you take a decimal out of 1, and multiply. 0.31 would be 31, because we would multiply it by 100, becuase you can only get to 100%. Then you woukd do the opposite, reverse it by dividing by 100. Which then, you would get 0.31)

Hope that helped.

4 0

3 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000