First, we are given that the inscribed angle of arc CB which is angle D is equal to 65°. This is half of the measure of the arc which is equal to the measure of the central angle, ∠O.
m∠O = 2 (65°) = 130°
Also, the measure of the angles where the tangent lines and the radii meet are equal to 90°. The sum of the measures of the angle of a quadrilateral ACOB is equal to 360°.
m∠O + m∠C + m∠B + m∠A = 360°
Substituting the known values,
130° + 90° + 90° + m∠A = 360°
The value of m∠A is equal to 50°.
<em>Answer: 50°</em>
Answer:
Well, I don't know how to graph it for you, but the slope is -2/3 and the point is (-9, 5). So, when you graph it, from the point (-9, 5), you can go 3 units to the right and 2 units down.
Answer:
$10,234.31
Step-by-step explanation:
A suitable financial calculator or spreadsheet can evaluate the future value function for you. It will tell you that $10,234.31 must be deposited today to have $13,000 in three years, when interest is 8% compounded monthly.
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You are solving for P:
13000 = P(1 +0.08/12)^(12×3)
P = 13000/(1 +0.08/12)^36 ≈ 10,234.31
Answer:
To find the volume of a cube one must multiply all three dimensions together. Here we know two of the dimensions and the volume but not the third dimension. First I multipl together to two known dimensions: 3/4 x 1/2 = 3/8. Next I divide the volume by this answer by using the reciprocal of 3/8 and multipling. 21/32 x 8/3 = 7/4 by cancelling the 32 with the 8 and the 21 with the 3. Now 7/4 must be changed into a mixed number. Divide the numerator by the denominator and write the remainder as a fraction. 7/4 = 1 3/4.
Answer:
c- (2x+3)(x+1)
Step-by-step explanation:
Let me know if you want step by step
