Applying the inscribed angle theorem, the measure of the arc from A to B is: 100 degrees.
<h3>What is the Inscribed Angle Theorem?</h3>
The inscribed angle theorem states that an inscribed angle in a circle is half the central angle.
Angle BAC = 40 degrees, so, central angle = 80 degrees. Arc BC would also be 80 degrees.
Measure of arc AC through point B = 180 degrees.
Arc AB = 180 - 80 = 100 degrees.
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You have to add the same kind of terms, in this case the ones that have a variable (5.4q and -4.5q) and the ones that don't (2.4 and 3.6), like this:
(5.4q - 4.5q) + (2.4 + 3.6) = 0.9q + 6
The answer is c. 0.9 +6
Answer:
Yes.
Step-by-step explanation:
4.7 is able to be written as a fraction, being a rational number.
Hope it helps!!
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Volume formula is WxHxL so 3/2 times 4 times 1/2 is 3, the answer is 3 cm^3
Answer:
Cody has solved (12 × 12) = 144 problems.
Step-by-step explanation:
For every one problem that Julia completes, Cody completes twelve.
If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)
Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.
Hence, 2x + 120 = y ......... (2)
Now, from equations (1) and (2) we get,
2x + 120 = 12x
⇒ 10x = 120
⇒ x = 12
Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)
