Does anyone know how to solve these

21. x = 11, y = 12

22. x = 22, y = 17

Step-by-step explanation:

21. See the diagram given with the question.

So, (11x + 5) + (6x - y) = 180 {Those angles are supplementary}

⇒ 17x - y = 175 (1)

⇒ 170x - 10y = 1750 (2)

Again, 11x + 5 = 10y + 6  {Opposite angles are equal}

⇒ 11x - 10y = 1 (3)

Now, from equations (3) and (2) we get

170x - 11x = 1750 - 1

⇒ 159x = 1749

⇒ x = 11

Now. from equation (1), we get y = 17x -175 = 187 - 175 = 12 (Answer)

22. Here the diagram is of a rectangle.

Then similar to the previous problem,

2x - 5 = 3y - 12 {Opposite angles are equal}

⇒ 2x - 3y = -7 (4)

Again, (7y + x) + (3y - 12) = 180 {Those angles are supplementary}

⇒ 10y + x = 192 (5)

⇒ 20y + 2x = 384 (6)

So, from equations (4) and (6) we get

23y = 391, ⇒ y = 17

Now, from equation (5), we get x = 192 - 10y = 22 (Answer)

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.

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)