Answer:
Step-by-step explanation:
Angles 3, 4, and 5 are supplementary to each other, meaning that all of them added together equal 180. Therefore, to solve for x:
x + 18 + x + 15 + 4x + 3 = 180 and
6x + 36 = 180 and
6x = 144 so
x = 24
Angles 1 and 3 are vertical angles, so they are congruent, meaning they both have the exact same angle measure. If angle 3 measures, x + 18, so does angle 1. If x = 24, then angle 1 = 24 + 18 which is 42 degrees.
That also answered part c. Angles 1 and 3 are not complementary, they are vertical.
You can do trial and error to all of the choices. They are presented as coordinates (x,y). Just substitute the x and y values, then if they satisfy the equation, then that is the answer. Among the choices, the answer would be B. Here's why:
x = 3, y = 4
2(3) + 4 > 8
10 > 8 TRUE
3 - 4 < 2
-1 < 2 TRUE
Thus, the answer is B.
This means that it sweeps out half of the circle so that the chord is actually going across the whole diameter of the circle. So if the chord is going across the diameter and has a length of 15 inches, then the radius of the circle should be 7.5 inches. read more at: https://www.ck12.org/trigonometry/Length-of-a-Chord/lesson/Length-of-a-Chord-TRIG/
Answer:
Step-by-step explanation:
Given
Required
Find the constant of variation
From the question, the variation is as follows
Convert variation to equation
Where k represents the constant of variation
Make k the subject of formula;
Multiply both sides by s * t
Divide both sides by p
Substitute the values of p, r, s and t in the above equation
Divide numerator and denominator by 6
Hence, the constant of variation is;
