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:
17, 50, 9
Step-by-step explanation:
Hello
We already know the values of x and y, 5 and 2.
All we have to do to figure out a, b, and c, is to plug in those known values.
a) 3x + y
Let's plug in x and y as 5 and 2
3(5) + 2
15 + 2
17
b) 2x^2
2(5)^2
2(25)
50
c) (x - y)^2
(5 - 2)^2
3^2
9
Answer:
1. 244
2. 122
3. 61
Step-by-step explanation:
1. 244 because I divided 488 by 2.
2. Divide 244 by 2.
2. Divide 122 by 2.
Stefan requires 6 hours to wash the cars by himself. In one hour he washes 1/6 of the cars. Misha can wash the cars by herself in 5 hours. In 1 hour she can wash 1/5 of the cars.
Stefan has 2.5 hours to wash the cars as he has to go to the football game. In 2.5 hours he has washed (1/6)*2.5 = 5/12 of the cars. This leaves 1 - 5/12 = 7/12 of the cars for Misha to wash. As she washes cars at the rate of 1/5 per hour, it would take her (7/12)/ (1/5) = (5*7)/12 = 35/12 hours to wash the remaining cars.
35/12 hours is equal to 175 minutes or 2 hours 55 minutes.
Misha finishes washing the cars in 2 hours and 55 minutes after Stefan leaves.
