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: Treats are an essential part of positive reinforcement, rewards-based training, but you also need to be mindful to balance your dog’s treats with their overall daily calories. Give them too many treats and you won’t just spoil their appetite for actual meals, but you could also make your dog overweight and unhealthy.
Step-by-step explanation:
You could just subtract it or you could make it into a plus negative
Answer:
here u can look
Mark as brainlist
Step-by-step explanation:
X + y = 120(being alternate angle)
or,X=120-y
then
2x-y=120
or,2(120-y) - y= 120
240-2y-y=120
y=240-120
y= 120
again,
X=120-y
= 120-120
=0
hence,
X= 0
y= 120
