Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

The answer to your question is h=-4/41x+5/41
7x-1+7x+8+5x+2=180
7x+7x+5x+2-1+8=180
19x+9=180
19x=180-9
19x=171
19x\19=171\19
x=9
therefore,7x-1
7(9)-1
=62
therefore, 7x+8
7(9)+8
=71
therefore 5x+2
5(9) +2
=47
The little red dashes on the segments means they are congruent. EM = MG
Let's plug the expressions from the picture into our equation above.
7x = 8x - 6
Subtract 8x from both sides.
-x = -6
Divide both sides by -1
x = 6
EM = 7x = 7(6) = 42
Answer:
0.39
Step-by-step explanation:
39% can be written as 39.% to emphasize that the decimal is to the right of the last digit in a whole number. When converting from percent to decimal, you divide by 100 which has the same effect as moving the decimal two places to the left. Therefore, 39.% becomes 0.39.