Quadrilaterals Unit Test 6 of 17Items

Item 6
Wally modeled a window with FGHJ. For what values of x and y is FGHJ a parallelogram?

A parallelogram has vertices F G H J. Angle F is labeled left parenthesis 4 y plus 7 right parenthesis degrees. Angle G is labeled left parenthesis 8 x minus 15 right parenthesis degrees. Angle H is labeled left parenthesis 5 y minus 18 right parenthesis degrees. Angle J is labeled left parenthesis 6 x plus 7 right parenthesis degrees.

(1 point)

x=11, y=25

x=12, y=25

x=12, y=21

x=11, y=21

a² + b²= c²

24² + 7² = c²

c= 25

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

idk

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.