Answer:
-The measure of :
-The measure of (if needed):
Step-by-step explanation:
-Set the measure of on one side and set the measure of on the other side and it will be written as:
-Then, solve for :
-After you have found the value of , plug in both the measure of and in order to get the actual angle measurement of and :
Finding the measure of :
Finding the measure of :
-Notice: That reason why both and have the same measurements, its because they are Alternate Exterior Angles, based on the diagram shown.
100% - 70% = 30% or .30
$150 / .30 = $500
The original price of the golf clubs was $500
Answer:
independent
Step-by-step explanation:
Dependent equations graph as the <em>same line</em>. These lines are not the same, so the equations are independent.
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However, the lines are parallel, so the equations are also <em>inconsistent</em>. There is <em>no solution</em> to this system of equations.
If a = 6l^2 is the total area of the surface of a cube with sides l length and A = 6 (2l)^2 is that area with 2l sides, then we take the ratio A/a = 6 (2l)^2/(6 l^2) = (2l)^2/l^2 = 4l^2/l^2 = 4. So that A = 4a. And that explicitly shows that the area A with 2l for sides is 4 X a, where a is the area when l is the side length.
<span>Using ratios to compare values of the same thing is the smart way to solve this kind of problem, because many of the values, like the 6 in both, cancel out. In fact, because we found that A/a = (2l/l)^2 we say in general that the area of a cube varies with the square of the length of its side.
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