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dimulka [17.4K]
3 years ago
6

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.

Mathematics
1 answer:
cluponka [151]3 years ago
7 0
(2x - 20) = 55
(4x - 10) = 25
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find the value of each variable in the circle to the right. the dot represents the center of the circle.
gladu [14]

We have been given an image of a circle. We are asked to find the value of each variable.

We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.

we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.

a=\frac{1}{2}\cdot 99

a=49.5

Therefore, the value of a is 49.5 units.

We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:

a+b+\frac{1}{2}c=180

49.5+90+\frac{1}{2}c=180

139.5+\frac{1}{2}c=180

139.5-139.5+\frac{1}{2}c=180-139.5

\frac{1}{2}c=40.5

\frac{1}{2}c\cdot 2=40.5\cdot 2

c=81

Therefore, the value of c is 81.

3 0
2 years ago
X÷3=3;x what does this mean in math terms
qaws [65]
In math terms this means x divided by 3=3 so x so x means 9 so the answer is nine
6 0
3 years ago
how much money will you have after 5 years if you deposit $750 into an account that earns 4% simple annual interest?
Helen [10]

Step-by-step explanation:

$ 900 is the answer. as i shown in the attachment

5 0
2 years ago
mrs chambers is 62 years old and plans to retire. over her life she earned an average of $2,500 per month after adjusting for in
antiseptic1488 [7]

Answer: 60

Step-by-step explanation:

4 0
2 years ago
If f(x) = -x + 4 and g(x) = x2 - 5, then f(g(-2)) = ?
schepotkina [342]

Answer:

f(g(- 2)) = 5

Step-by-step explanation:

Evaluate g(- 2) then use this result to evaluate f(x)

g(- 2) = (- 2)² - 5 = 4 - 5 = - 1, then

f(- 1) = - (- 1) + 4 = 1 + 4 = 5

6 0
2 years ago
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