The answer to the question above and it’s not 75

The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.

Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.

Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)

x= 180-105 = 75°

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x = 72

Step-by-step explanation:

The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y

a + y + y = 180 (sum of angles in triangles)

58 + 2y = 180

Subtract 58 from both sides

2y = 122

Divide both sides by 2

y = 61°

In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.

b = 47°

y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.

y + b + x = 180

61 + 47 + x = 180

108 + x = 180

Subtract both sides by 108

x = 72

answer for #1 is c

answer for #2 is d

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the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).