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:
about 10 times I hope it helps
Answer:
A
Step-by-step explanation:
Here, we want to get the number that will be in the units place
Six consecutive numbers from 33 are;
33 , 34 , 35 , 36 , 37 , 38 ,
Product of 5 and any of the even numbers will yield 0
That means the number on the unit place is 0
Answer:
The algebraic expression of "two more than the quotient of six and a number, n is 2 + 6/n
Step-by-step explanation:
The quotient number of six and a number n = 6 / n
two more than the quotient of six and a number, n = 2 + 6/n
The algebraic expression of "two more than the quotient of six and a number, n is 2 + 6/n
7 x *cross multiply
-- = --
11 121
11x 847 *divide
--- = -----
11 11
x = 77
