Answer:
C. 55°
Step-by-step explanation:
The computation of mAC is shown below:
Given that
Diameter AB would be parallel to CD
McD = 70
Based on the attached diagram and the above information
mAC is
= (180 - 70) ÷ 2
= 55 degrees
hence, the correct option is third
The money will be triple after 15 years and 303 days.
What is compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given:
Principle (P) = $10,000
The amount will be triple.
So, Amount (A) = $30,000
Rate (r) = 7% = 0.07
The interest is compounded quarterly.
n = 4
We have to find the value of t.
Let,
Apply logarithm on both sides,
Hence, the money will be triple after 15 years and 303 days.
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Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
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Answer:
2^5 or 32
Step-by-step explanation: