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:
Option D (8,4)
Step-by-step explanation:
we know that
The dilation centered at the origin (0,0) is very simple. To find out the image point multiply the scale factor to the x and y-coordinates of the pre-image point.
so
(2*4,2*2) -----> (8,4)
Answer: 216 ml
Step-by-step explanation:
400 grams = 480 ml
180 grams = ?
Since the value of 180 grams in milliliters is unknown, let the unknown be Z
Thus, 400 grams = 480 ml
180 grams = Z
To get the value of Z, cross multiply
Then, Z x 400 grams = 480ml x 180 grams
400Z = 86400
Divide both sides by 400
400Z/400 = 86400/400
Z = 216
Thus, 180 grams is equal to 216 milliliters.
Perpendicular
Mark as brainliest
well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and
so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that
