Answer:
Arc DE = 90°
m<GAB = 82°
Arc DC = 49°
Step-by-step explanation:
Given:
m<EAF = 74°
m<EAD = right angle = 90°
Arc BG = 82°
Required:
Arc DE,
<GAB, and
Arc DC
Solution:
Recall that the central angle measure = the intercepted arc measure.
Therefore:
✔️Arc DE = m<EAD
Arc DE = 90° (Substitution)
✔️m<GAB = arc BG
m<GAB = 82° (Substitution)
✔️Arc DC = m<CAD
Find m<CAD
m<CAD = ½(180 - m<GAB)
m<CAD = ½(180 - 82)
m<CAD = 49°
Arc DC = m<CAD
Arc DC = 49°
The least common multiple is 2. 2 is the highest number that goes in to each of these numbers.
5/8 is the lowest fraction. It can not be simplified anymore
Answer:
d
Step-by-step explanation:
7x + 2 and 10x - 9 are same- side interior angles and sum to 180° , that is
7x + 2 + 10x - 9 = 180
17x - 7 = 180 ( add 7 to both sides )
17x = 187 ( divide both sides by 17 )
x = 11 → d
