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a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
Answer:
a) 
b) The population increases 7.1% each year.
Step-by-step explanation:
The continuous population growth model is given by:
In which 
is the population after t years, 
is the initial population and r is the growth rate.
In this problem, we have that:
A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.
This means that 
a) Write a function to model the population increase.
b) By what percent does the populaiion increase each year?
So the population increases 7.1% each year.
1/4³ or 1/64
1/4² or 1/16
1/2³ + 3 or 3 1/8 or 3.125
1/2²+3 or 1/4 +3 or 3 1/4 or 3.25
1/2¹ +3 or 3 1/2 or 3.5
Answer:
5 1/4 cups
Step-by-step explanation:
7x3/4= 5 1/4
