Arc ML = 2×∠MNL
= 2×43°
= 86°
_____
The measure of an inscribed angle is half the measure of the arc it intercepts. This simple relationship is used in many geometry problems, so is worth remembering (or at least, writing down in a handy place).
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➷ First identify and assign the variables:
q = number of quarters
d = number of dimes
This is what we know:
q + d = 22
A quarter is 25 cents and a dime is 10 cents
You can write this as:
0.25q + 0.1d = 3.40
Rearrange the first equation for d
d = 22 - q
Substitute this value into the other equation:
0.25q + 0.1(22 - q) = 3.40
Simplify:
0.25q + 2.2 - 0.1q = 3.40
0.15q + 2.2 = 3.4
Subtract 2.2 from both sides:
0.15q = 1.2
Divide both sides by 0.15:
q = 8
Substitute into the first equation:
8 + d = 22
d = 14
Therefore, there are 8 quarters and 14 dimes.
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➶ Hope This Helps You!
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Answer: Josh is incorrect because nickels are worth 5 cents each and 33 can not be divided by 5 exactly.
Answer: 4
Step-by-step explanation:
yes
1/7 is the answer. 4/28 = 1/7 but in the lowest term
