Answer:
c. 1/128
Step-by-step explanation:
(2 ^ -5)^2
----------------------
2^ -3
Lets first simplify the numerator.
a^b^c = a^(b*c)
(2 ^ -5)^2 = 2^(-5*2) = 2^-10
(2 ^ -10)
----------------------
2^ -3
When dividing, since the bases are the same, we keep the bases and subtract the exponents.
a^b/ a^c = a^(b-c)
2^(-10- -3)
2^(-10+3)
2^(-7)
We know the negative exponent moves it from the numerator to the denominator
1/2^7
1/128
Answer:
∠1 and ∠2 are congruent because they are pair of <u>corresponding angles</u>.
Step-by-step explanation:
The angles that lie on the same side of the transversal and are in matching positions are called corresponding angles.
Since ∠1 and ∠2 lie on the side of the transversal, where ∠1 is the exterior angle and ∠2 is the interior angle then it means that they have the same measure.
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Answer: 1008 revolutions
Step-by-step explanation:
1 revolution is equal to
To find how many revolutions the wheel makes, you must divide the distance traveled in the race between the circumference of the wheel
You must first convert 62.8318 in to meters.
We know that 1 inch is 0.0254 meters
Then
Finally The wheel made 1008.21 revolutions
Answer:
$16,750
Step-by-step explanation:
It took a lot of plugging in and guessing
The formula used was 16750(1+.04)^1
That equaled 17420
17420-16750 is 670
Hope this helps
Answer:
see below
Step-by-step explanation:
1. given
2. <u>adjacent</u> sides in <u>straight line</u>
3. definition of <u>supplementary adjacen</u>t angles
4. substitution
5. opposite <u>angles</u> are <u>equal</u>
6. <u>substitution</u>
7. definition of <u>alternate exterior</u> angles