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e=83 f=239 h=90 g=124

Step-by-step explanation:

So lets start by finding angle e. So parallel lines form alternate interior angles. These angles are congruent. Angle e and the angle measuring 83 degrees are alternate interior angles. This tells us that angle e is 83 degrees.  z

Next, lets find angle f. There are 360 degrees around any given point. Angle e plus angle f plus the angle measuring 156 degrees must equal 360. 83+156+f=360

239+f=360

f=121

so angle f is 121 degrees.

We can use same-side interior angles to find angle h. The right angle and angle h are on a pair of horizontal parallel lines. the vertical line is a transversal. The angles on the interior and the same side must be supplementary, or equal 180 degrees. Since we know one angle is 90 degrees because it is a right angle, we can say that 180-90=h, so h=90

Proving angle h equals 90 degrees

Th find angle g, we must recognize that the polygon is a pentagon. The formula for finding the interior angle degree measure is n-2(180), with n being the number of sides. So,5-2(180)=3(180)=540 degrees. Then, we must find g by adding up the known sides and subtracting from 540.

83+90+90+156+g=540

416+g=540

g=124

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: