Answer:
a, b, c are all 144°
Step-by-step explanation:
Parallel lines that are crossed by a transversal (diagonal) will have angle properties that are very similar and consistent. Given that a straight line will form a total angle of 180°, the measure of ∠a would be 180 - 36 = 144°. Because ∠a and ∠b are corresponding angles so they are congruent (same measure) so ∠b = 144°. Since ∠b = 144° and is the opposite, vertical angle to ∠c, they must also be congruent as well. ∠a and ∠c are also alternate exterior angles that are congruent, so ∠c = 144° as well.
X=5 because that’s the slope of the question
The sum of exterior angles of a polygon = 360<span>°
Thus, the eighth exterior angle is equal to
360</span>° - (42° + 55° + 39° + 20° + 62° + 45° + 47°) = 50<span>°</span>
Answer:
The enrollment after 5 years is 10,724
Step-by-step explanation:
Generally, we can have the depreciation formula written as follows;
A = P(1 - r)^t
A is the number of enrollment in after a certain number of years t
P is the initial population which is 13,500
r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045
t = 5 years
Substituting these values, we have it that;
A = 13,500(1-0.045)^5
A = 10,723.84
Answer: x=1
y=2
Step-by-step explanation:
y=-x+3
y=4x-2
-----------
y=y
-x+3=4x-2
3+2=4x+x
5=5x
x=1
y=-1+3
y=2
