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Angles - Check My Underst

x = 13°

Step-by-step explanation:

Check the diagram attached below to see how the angles labelled A and B, which are interior angles of the triangle where x is found.

Let's find the measure of angle A and angle B.

m<A = 85° (vertical angles are congruent)

m<B = 180° - 98° = 82° (corresponding angles/supplementary angles)

Thus:

x + A + B = 180° (sum of interior angles of a ∆)

x + 85° + 82° = 180° (substitution)

x + 167 = 180

x = 180 - 167 (Subtraction property of equality)

x = 13°

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.