Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
Answer:
Macroeconomics is a study that deals with the whole economy and everything pertaining to it.
Step-by-step explanation:
when we talk about Macroeconomics, we mean the whole economy. It can be related to a country's import or export, governance, how resources are accurately allocated to people in the country and the like.
The standard form would be y = 7x^2 - 42x + 67
The new length of the running trail would be 6.286 miles
Answer:
238°
Step-by-step explanation:
In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.
So, the angle "21x - 2" and the angle "38x + 5" add up to 180.
So, we can write an equation and solve for x first:

x = 3
Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:
Angle A = 38x + 5 = 38(3) + 5 = 119
Thus, Arc FGH = 2 * 119 = 238°