If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x? Lines E H and D F intersect at point G. 14 18 64 116

14°

Step-by-step explanation:

Both angles are vertical angles and are opposite, hence, from angle theorem., vertically opposite angles are equal :

Angle EGD = Angle FGH

Angle EGD = (4x + 8)

Angle FGH = 64

HENCE,

4x + 8 = 64

4x = 64 - 8

4x = 56

x = 56/4

x = 14°

2500

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x