All categories

3 years ago

Find the values of x and y for the isosceles trapezoid

Mathematics

1 answer:

butalik [34]3 years ago

4 0

<h3>Answer:</h3>

x = 15
y = 3

<h3>Step-by-step explanation:</h3>

If the trapezoid is isosceles, angles A and C are supplementary, so ...

... (4x+4) +(7x+11) = 180

... 11x +15 = 180 . . . . . . collect terms

... 11x = 165 . . . . . . . . . subtract 15

... x = 15 . . . . . . . . . . . . divide by the coefficient of x

And angles C and E are congruent.

... 4·15 +4 = 21y +1

... 63 = 21y . . . . . subtract 1

... 3 = y . . . . . . . . divide by the coefficient of y

You might be interested in

Find the slope of the line passing through (-4, 1) and (-1, -2).

Oksana_A [137]

Answer: 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-2 - 1 = -3

-1 - -4 = 3

-3/3 = 1

3 0

3 years ago

Read 2 more answers

Solve the simultaneous equation <br> 2x-5y=9<br> 3x+4y=2

Dmitriy789 [7]

Answer/Step-by-step explanation:

2x-5y=9

Add 5y to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

$\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}$

Cancel the common factor of 2.

Divide x by 1.

$x=\frac{9}{2} +\frac{5y}{2}$

$y=\frac{-9}{5} +\frac{2x}{5}$

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

$\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}$

Cancel the common factor of 3.

Divide x by 1.

$x=\frac{2}{3} +\frac{4y}{3}$

$y=\frac{-1}{2} +\frac{3x}{4}$

5 0

2 years ago

What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both ex

tiny-mole [99]

Replace x with 2 and solve each equation:

1/2(2) + 4 = 1 + 4 = 5

2+ 6 -1/2(2) -2 = 8-3 = 5

The answer is:

both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

7 0

2 years ago

Which equation is equivalent to<br> log5x^3 - logx^2 = 2?

Oksanka [162]

Answer:

the second option and x=20

4 0

2 years ago

Read 2 more answers

What does jury duty mean?

JulijaS [17]

Jury duty is where you have to server your duty being on a jury for a court case. On a jury duty, you vote if you think the person on trial is guilty or not.

-Steel jelly

3 0

3 years ago