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:
92.5 cm²
Step-by-step explanation:
Lets take this step by step
Bottom rectangle is 2 by 5, so then 2*5 = 10
Large rectangle is 8 by 9, so 8*9 = 72
The triangle is 7 by 3, you get the 7 by subtracting the 5 side from the square because using the square you can tell that the height is 9 - something.
The 5 you get is from subtracting the cut part that you might have made because the height of that is 2, therefore you cut off 2 from 7 making it 5
Triangle area is h*b / 2, therefore 7*3 = 21/2 = 10.5
Add them all together, 10.5 + 10 + 72 and you get 92.5
Answer:
0.9
m
−
12
Note:
Since there is no y value m can not be determine. Therefore finding the sum here can not be determined so instead you can try simplifying
2.6 2.5 5.8 yep that's how u do it lol
Answer:
P < -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 4 to both sides.
Therefore, the answer is P < -1! (Also, the graphed solution is below.)
