Answer:
x = 19
Step-by-step explanation:
A circle has a total of 360 degrees. Because central angles are congruent to the degree measures of their arcs, and because of vertical angles we can construct the equation :
5x+37+5x+37+3x-9-9=360
We can simplify this to :
8x+28=360
Subtract 28, divide 8, and x is 19
Answer:
m<TSU = 65
Step-by-step explanation:
As one can see, the measure of angle (RST) is (90) degrees. This is indicated by the box around the angle. As a general rule, when there is a box around an angle, the angle measure if (90) degrees. It is also given that the measure of angle (RSU) is (25) degrees. As per the given diagram, the sum of the measures of angles (RSU) and (UST) is (RST). Therefore, one can form an equation and solve for the measure of angle (UST).
(RSU) + (UST) + (RST)
Substitute,
25 + (UST) = 90
Inverse operations,
25 + (UST) = 90
UST = 65
(<UST) is another way of naming angle (TSU).
Make an equation.
'is' is an equal sign
The blank can be 'x'
'of' = multiplication
18 = x * 30
Multiply:
18 = 30x
Divide 30 to both sides:
x = 0.6
Multiply by 100:
0.6 * 100 = 60%
Answer:
76/100 or simplified into 19/25