Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?
1 answer:
Answer:
128°
Step-by-step explanation:
<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.
Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.
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Answer:
Let the smallest digit, or the units' digit, be equal to x:
Tens' digit is four more, therefore:
x + 4 represents the tens' digit.
Hundreds' digit is 2 more than the tens' digit, so:
2 + (x + 4), or x + 6 represents the hundred's digit.
These all sum up to 13, so write an expression to represent this:
x + (x + 4) + (x + 6) = 13
Combine like terms:
3x + 10 = 13
Subtract 10 from both sides:
3x = 3
Divide both sides by 3:
x = 1
Find the digits using the rules listed above:
Hundreds' digit: (1) + 6 = 7
Tenths' digit: (1) + 4 = 5
Units' digit: 1 = 1
Therefore, the number is:
751.