You find the measure of angle BEC, by adding angle B and angle C which is 43+90, and then subtract that from 180 and get 180-(43+90). Then you take the measure of angle BEC (which is the same as AEB), take AEB and A which is 90 degrees and add those together. Then you take that and subtract it from 180, which is 180-(AEB+90)
Figure on top is 8 times 9 (to find volume)
the figure on top has a volume of 72 cm<span>^3
the volume of the lower figure:
3 times 9 times 5 = 135 cm</span><span>^3
72+135=207 cm</span><span>^3
the volume of both figures is 207 cm</span><span>^3</span>
Answer:
-2 and 4
Step-by-step explanation:
Let's set the larger number to x, and the smaller to y. With these, we can set up our equations.
x = 2y + 8
x + y = 3x - 10
Now, we put the value of x into the second equation.
2y + 8 + y = 3(2y + 8) - 10
Now we can solve for y
3y + 8 = 6y + 24 - 10
3y + 8 = 6y + 14
8 = 3y + 14
-6 = 3y
-2 = y
Now that we have the smaller number, we can put it into the first equation and solve for the larger.
x = 2*-2 + 8
x = -4 + 8
x = 4
So your two numbers are -2 and 4.
Answer:
Length and the width of the rectangle is 15.5 inches and 8.5 inches respectively.
Step-by-step explanation:
Given:
Length = 7 inches + Width
=> P = 48 inches
=> L = (7 + W) inches............. (1)
Perimeter 'P' is the sum of all sides of the rectangle 2 (L + W)
∴ 48 inches = 2 (L + W) .................(2)
Substitute for L in equation (2)
∴ 48 inches = 2 [(7 + W) + W]
48 = 2[7 + 2W]
48 = 14 +4W
48 - 14 = 4W
34 = 4W
W = 8.5 inches
Recall that: Length, L = (7 + W)
∴ L = (7 + 8.5)
L = 15.5 inches