The labeled angle is what's called an inscribed angle. There's a theorem (fittingly called the inscribed angle theorem) that says the measure of this angle is half the measure of the circular arc that it subtends.
In this case, the angle is subtended by an arc measuring 180°. So
(4x + 6)° = 1/2 • 180°
4x + 6 = 90
4x = 84
x = 21
Answer:
The answer to your question is c = 20
Step-by-step explanation:
Data
a = 15
j = 24
k = 32
c = ?
Process
Use proportions to solve this problem. Compare the small triangle and the large triangle.
1.- Proportion of the small triangle
c/15
2.- Proportion of the large triangle
k/j
3.- Equal but terms and solve for c
c/15 = k/j
-Substitution
c / 15 = 32/24
c = 32(15)/24
-Result
c = 20
Answer:
Well for constructing your gonna need a compass and measure the length of the line your constructing and a drawing is just a free draw without a compass perpendicular lines are straight on both sides
Find the Least Common Denominator (LCD) which is 28.
-1/4 (7) = -7/28
-3/7 (4) = -12/28
-7 - 12 = -19
-19/28
Simplify if you can.