Call the three angles of a triangle ∠1,∠2,∠3

The measure of ∠2 is forty degrees less than that of ∠1; the measure of ∠3 is ten degrees less than twice that of ∠1If x is the measure of ∠1, then which of the following equations would we need to solve in order to calculate the measures of the angles?

              ° is the measure of ∠.

              ° is the measure of ∠.

              ° is the measure of ∠.

Step-by-step explanation:

Given that,

      is the measure of ∠.

Now,

      The measure of ∠ is forty degree less than that of ∠, so () is the measure of ∠.

      The measure of ∠ is ten degree less than twice that of ∠, so () is the measure of ∠.

So,

     According to Angle sum property,

   Sum of the measures of the three angle of triangle is °.

Now,

        ∠ + ∠ + ∠ = °

        () + () + () = °

        °

        °

        °

So,

   ° is the measure of ∠.

   ° is the measure of ∠.

   ° is the measure of ∠.

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.