Answer: 120 cm^2
Step-by-Step Explanation:
Base (b) = 12 cm
Height (h) = 10 cm
Area (a) = bh
Therefore,
= bh
= b * h
= 12 * 10
=> 120
Area (a) = 120 cm^2
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:
X = 19/24
Step-by-step explanation:
Move the constant: 4x = 5/3 + 3/2
Add The Fractions: 5/3 + 3/2 = 19/6
Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24
Answer:
Look at Step by Step
Step-by-step explaination
All you need to do is find the frequency of the test scores.
70 = 2 dots
75 = 0
80 = 3 dots because there are 3 students that got a 80 %
85 = 3 dots because there are 3 students that got a 80 %
90 = 4 dots because there are 4 students that got a 90 %
95 = 3 dots
100+ = 0 dots
Answer:
360
Step-by-step explanation:
