Answer: The answer is -43/9.
Answer:
15°
Step-by-step explanation:
angle FGH = angle HGI ( since GH bisects angle FGI)
that means
(2x + 1) = (3x - 9)
= -x = -8
x = 8
angle HGI = (3x - 9)
= 3(8) - 9
24 - 9
= 15°
Answer:
The correct option is;
Angle Addition Postulate;
Step-by-step explanation:
The given two column proof can be presented as follows;
Statement Reason
1. ∠PQR is a right angle Given
2. m∠PQR = 90° Definition of Right Angle
3. m∠PQS + m∠SQR = m∠PQR Angle Addition Postulate
4. m∠PQS + m∠SQR = 90° Substitution property of equality
5. ∠PQS and ∠SQR are complementary Definition of complementary angles
Given that the angle m∠PQR has angles m∠PQS and m∠SQR arranged adjacent to each other while sharing the same boundary segment, QS we have by the angle addition postulate;
m∠PQR is the sum of the angles m∠PQS and m∠SQR, therefore;
m∠PQR = m∠PQS + m∠SQR = 90°.
Answer:
6.3 yards
Step-by-step explanation:
mathematically, to get the circumference of the circle, we will have to use the formula for the circumference of a circle
we have this as;
C = 2 * pi * r
r is 1 yard
c = 2 * pi * 1 = 2pi yards = 6.3 yards