Find the measure of ∠EGC. Circle A with chords EF and CD that intersect at point G, the measure of arc EC is 50 degrees, the mea
sure of angle EGC is 7x plus 7 degrees, and the measure of arc DF is 10x degrees. 140° 90° 70° 50°
2 answers:
Answer:
m∠EGC=70°
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite
so
m∠EGC=(1/2)[arc EC+arc DF]
<u><em>Find the value of x</em></u>
we have
m∠EGC=(7x+7)°
arc EC=50°
arc DF=10x°
substitute and solve for x
(7x+7)°=(1/2)[50°+10x°]
14x+14=50+10x
14x-10x=50-14
4x=36
x=9
<u><em>Find the measure of angle EGC</em></u>
m∠EGC=(7x+7)°
substitute the value of x
m∠EGC=(7(9)+7)°=70°
Answer:
C. 70
Step-by-step explanation:
Got it on my test.
You might be interested in
Answer: the answer is 56
Step-by-step explanation: since the f(x) is -7 it would be 9 times -7 then minus 7 and get the answer.
I wrote my decision on a piece of paper.
Answer:
1/12
Step-by-step explanation:
multiple of 3 and a multiple of 4 implies it can only be 12.
Since you only have the numbers from 1 to 12,
the prob(the 12) = 1/12
Answer:
about 16 times bigger
Step-by-step explanation:
Answer:
p = 35
Step-by-step explanation:
180 - 125 = 55
180 - 90 = 90
55 + 90 = 145
180 - 145 = 35
p = 35