The answer is 6. A supplementary Angie are 2 angles that add up to 180. Since Angie 3=90degrees the angle directly across from it has to be 90degrees therefore making it supplementary to angle 3
The volume of a prism is just its width times its height times its length.
v=whl
v=2×4×5
v=40
So we know the volume is 40 units. But which units?
Matt used centimeters as his units, so his rect. prism's volume would be 40 cm³. Mindy's would be 40 in³.
Part 1
<h3>Answer: 13</h3>
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Explanation:
We'll replace every copy of x with -3. Then use PEMDAS to simplify.
f(x) = -2x+7
f(-3) = -2(-3)+7
f(-3) = 6+7
f(-3) = 13
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Part 2
<h3>Answer: -11</h3>
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Explanation:
We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).
We'll replace f(x) with 29 and solve for x like so
f(x) = -2x+7
29 = -2x+7
-2x+7 = 29
-2x = 29-7
-2x = 22
x = 22/(-2)
x = -11
Note how if you replaced x with -11, we'd get,
f(x) = -2x+7
f(-11) = -2(-11)+7
f(-11) = 22+7
f(-11) = 29
which helps confirm we have the correct answer.