Can someone please help me solve these two problems??? 6 and 8

Answer/Step-by-step explanation:

6. ✔️m<1 = 180 - (72 + 57) (sum of ∆)

m<1 = 56°

✔️m<2 = 90 - 72 (complementary angles)

m<2 = 18°

✔️m<3 = 180 - 57 (linear pair)

m<3 = 123°

✔️m<4 = 180 - (m<2 + m<3) (sum of ∆)

m<4 = 180 - (18 + 123) (substitution)

m<4 = 39°

8.(13x + 2) + (3x - 4) + (5x - 7) = 180 (sum of ∆)

13x + 2 + 3x - 4 + 5x - 7 = 180

Add like terms

21x - 9 = 180

21x = 180 + 9 (addition property of equality)

21x = 189

Divide both sides by 21

x = 9

answer: about 22.67

step-by-step explanation:

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.