Segment VY is a midsegment of trapezoid FEDC. Find x.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = $\frac{EF+CD}{2}$ , then

3x + 18 = $\frac{1}{2}$ (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

You might be interested in

What is the answer of 7/4(-4)?

vampirchik [111]

7/4 means you have to do 7 divided 4. You would get 1.75 then you have to do 1.75 times -4. You get -7. -7 is the answer.

7 0

3 years ago

Read 2 more answers

What is the gcf of 48, 64 and 72

ziro4ka [17]

The greatest common factor is 8 because Prime factor is 2 and 4, Number 48 is 4 and 1 Number 64 is 6 and o Number 72 is 3 and 0 which it would all equal 2^3 so 48 = 2^4 times 3 64 = 2^6 and 72 = 2^3 times 3^2 Hope this helps.

5 0

3 years ago

Read 2 more answers

Joseph invested $89,000 in an account paying an interest rate of 6.6% compounded quarterly. Assuming no deposits or withdrawals

vova2212 [387]

Answer:

Step-by-step explanation:

Answer:15

5 0

3 years ago

Someone help me please :(

Aleksandr-060686 [28]

9514 1404 393

Answer:

A. ∠EAG and ∠BAC

Step-by-step explanation:

Vertical angles share a vertex and have opposite rays for sides.

Rays AE and AB are opposite; rays AG and AC are opposite. These are the only pairs of opposite rays in the figure, so the vertical angles must be constructed from one of the rays of the first pair and one of the rays of the second pair. ∠EAG and ∠BAC are a pair of vertical angles.

The other pair is ∠EAC and ∠BAG.

5 0

3 years ago

Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t

adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

$D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}$