Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Answer:
That is 74 years.
Step-by-step explanation:
1.5% = 0.015.
The equation for the rate of growth is P = 430,000(1.015)^n where n is the number of years.
Triple the population is 430,000 * 3 = 1,290,000, so:
1,290,000 = 430,000(1.015)^n
(1.015)^n = 1290,000 / 430,000 = 3
Taking logs of both sides:
n log 1.015 = log 3
n = log 3 / log 1.015 = 73.8 years
