Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
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Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
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<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
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<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.
B : rotation.
Translation is if you are moving the shape from one place to the other. Reflection is if you are flipping the shape over a line ( which it is not ) and dilation is when the shape is becoming bigger or smaller.
0 = -5n - 2n
0 = -7n <em>|divide both sides by (-7)</em>
<u>n = 0</u>
Here is what you tally chart/table would look like:
Weight Tallies
1/4 lll
2/4 ll
3/4 lll
4/4 l
Here is what your line plot would look like:
X X
X X X
<u>X X X X
</u><u />1/4 2/4 3/4 4/4
<12> starting number <75%> next number your new hourly rate would be higher also know as 75% more meaning the answer to how much more i would get is <12> + <75> = <87>
