Answer:
54°
Step-by-step explanation:
Your triangle is isosceles. You have been given the third angle, and you have been asked to find the measure of one of the two equal angles. We know that the internal angles of a triangle sum to 180, so ![72+x+x=180 \rightarrow 2x=108 \rightarrow x = 54](https://tex.z-dn.net/?f=72%2Bx%2Bx%3D180%20%5Crightarrow%202x%3D108%20%5Crightarrow%20x%20%3D%2054)
Answer:
Mr.Lin's present age is 30 years now. His son is 8 years old now.
Step-by-step explanation:
Let L = Mr.Lin's present age,
S = his son's present age.
First equation is
L + S = 38. (1)
The second equation is
L + 3 = 3*(S+3) (2) ("In three years' time, Mr.Lin will be three times as old as his son.")
From (1), express S = 38-L and substitute it into (2). You will get
L + 3 = 3*((38-L)+3), or
L + 3 = 114 - 3L + 9,
4L = 114 + 9 - 3,
4L = 120,
L = 30.
Answer:
Answer is C
r= 3
there are 4 circles.
total area of circle = 4 π 3²
so shaded area = 12²- 4π3²= 30.90
Step-by-step explanation:
Answer:
The answer is -32
Step-by-step explanation:
g(-5) = (-5)-1= -6
f(-6) = 2(-6)-20
f(-6) = -12-20
-32
<span>The proportion of clay uses is 3/8 (Three Eighths). That is 3 lbs. of clay to every 8 vases. This is determined by the first given proportion 3 lbs./8 vases and confirmed by the second. To prove that is the case you divide the second ration by the first numerator:
9 divided by 3 = 3 and 24 divided by 3 = 8. So the proportion for 9/24 is still 3/8. This can also be used to increase the number of vases made. For example if 40 vases need to be made:
we divide 40 by the numerator 8 = 5. So we need 5 portions of 3 to make 40 vases. 5 times 3 = 15. So the 15 lbs. of clay is needed for 40 vases.</span>