3 years ago

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

Given that Y= 3x – 8, what is the sum of the gradient and intercept of the linear equation? *

chubhunter [2.5K]

Answer:

- 5

Step-by-step explanation:

The equation of a line in slope - intercept form is

y = mx + c ( m is the slope (gradient) and c the t- intercept )

y = 3x - 8 ← is in slope- intercept form

with gradient m = 3 and y- intercept c = - 8 , thus

m + c = 3 + (- 8) = 3 - 8 = - 5

5 0

4 years ago

Triangle A C B is shown. Angle A C B is a right angle. Altitude h is drawn from point C to point D on side A B, forming a right

monitta

Answer:

Answer B.) $\sqrt[2]{70}$

6 0

3 years ago

Read 2 more answers

Simplify 7p +20-13q-4q-18+6p a 13p + 17q-2 b 13p-17q+2 c3q+38 d 3q-6

AleksAgata [21]

The answer is most likely B

3 0

3 years ago

Read 2 more answers

You need to buy 5 notebooks for your classes at school.Each notebook costs $2.79. What is the total cost before tax?

lesya692 [45]

Answer:

$13.95

Step-by-step explanation:

You need to multiply the 5 notebooks with the costs of each notebook, which gives you the total costs before tax.

7 0

3 years ago

A dairy produces 256 pints of milk each day. How many gallons of milk is this? (1 gallon

hoa [83]

Answer:

32 gallons

Step-by-step explanation:

c'mon this is simple, but thx for the points

6 0

3 years ago