Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
Part 1) Find AC
we know that
In the right triangle ABC of the figure
Applying the Pythagorean Theorem
substitute the given values
Part 2) Find the measure of angle A
we know that
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the values
using a calculator
Part 3) Find the measure of angle C
we know that
In the right triangle ABC
----> by complementary angles
substitute the given value
To get a decimal form of a fraction, divide the numerator by the denominator.
7/8 = 0.875
Answer:
The circle's diameter is
Step-by-step explanation:
we know that
The circumference of a circle is equal to
where
D is the diameter of the circle
In this problem we have
substitute the values and solve for D
Answer:
x = 83
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360
75+x+97+105 = 360
Combine like terms
x+277=360
Subtract 277 from each side
x+277-277=360-277
x = 83