Answer:
Dependent: Cost
Independent: Number of shirts
Step-by-step explanation:
Answer:
- 9
Step-by-step explanation:
Substitute x = - 3 into the expression
(- 3)² - 2(- 3) - 24
= 9 + 6 - 24
= 15 - 24
= - 9
Answer:
True
Step-by-step explanation:
Required
Does dilation preserve angle measure?
When a point, side, line, or angle is dilated; the length of the line will be altered by the ratio or scale of dilation.
However, the measure of angle will remain the same.
<em>Hence, the given statement is true.</em>
Answer: " m = zC / (C − z) " .
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Explanation:
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Given: 1/C + 1/m = 1/z ; Solve for "m".
Subtract "1/C" from each side of the equation:
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1/C + 1/m − 1/C = 1/z − 1/C ;
to get: 1/m = 1/z − 1/C ;
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Now, multiply the ENTIRE EQUATION (both sides); by "(mzC"); to get ride of the fractions:
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mzC {1/m = 1/z − 1/C} ;
to get: zC = mC − mz ;
Factor out an "m" on the "right-hand side" of the equation:
zC = m(C − z) ; Divide EACH side of the equation by "(C − z)" ; to isolate "m" on one side of the equation;
zC / (C − z) = m(C − z) / m ; to get: 24/8 = 3 24
zC/ (C − z) = m ; ↔ m = zC/ (C − z) .
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The answer is 51°.
The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.
We also know that a triangle equals 180°. So 58+71= 129°.
So to find that missing angle we subtract 129 from 180 to get the 51°.
