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.
Answer:
If you paid any attention in class you wont need brainly
Step-by-step explanation:
Answer:
<h2>-5z-6</h2>
Step-by-step explanation:
-1/4 x 20z = -5z
24 x -1/4 = -6
So we have -5z-6. So the expression equivalent to 1/4(20z+24) is -5z-6.
Answer:
A. $1
Step-by-step explanation:
The apples logically cost 2 dollars each.
2*3=6 Gives us the cost of 3 apples
The dollar left over is how much the juice will cost.
5x+10y=4750
x+y=600
x=250
y=350
250 theater tickets
350 orchestra tickets
