Find the value of x that will allow you to prove that CD below is parallel to EF if the measure of 21 is (3x + 30)° and the measure of 22 is 81°(The figure may not be drawn to scale.)

23

Step-by-step explanation:

According to the diagram, two sum of <1 and <2 is 180 degrees

Hence 3x+30+81 = 180

3x+111 = 180

3x =180-111

3x = 69

x = 69/3

x = 23

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.