A triangle needs a total of 180° to be a complete triangle. First let's solve for m∠B since we have the other angles given in that triangle.
30 + 70 = 100
180 - 100 = 80° still needed to form a complete triangle. This is what m∠B equals.
From the image provided, we can see that both triangles are the exact same. So all we need to do now is find the angle that matches m∠B. In this case that angle is m∠D. Knowing that m∠B = 80° the final answer is:
m∠D = 80°
Hoped This Helped! Good Luck!
Answer:
e^ (5 ln (x + 1)) = (x + 1)^5
Step-by-step explanation:
e5 In (x + 1) or did you mean e^ (5 ln (x + 1))
because then this would simplify a lot
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5)
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
or did you mean (e^5) ( ln (x + 1)) = ln [(x+1)^(e^5)]
But I think you meant:
e^ (5 ln (x + 1)) = e ^ (ln (x + 1)^5) = (x + 1)^5
Answer:
AB = x+ 8
Step-by-step explanation:
Given : QS=6x and CS=5x-8
From the given figure,
QS = QC + CS
We are given with QS and CS
Replace it the above equation
6x = QC + 5x -8
Solve for QC
Subtract 5x on both sides
x = QC + -8
Add 8 on both sodes
QC= x + 8
QABC is a rectangle
QC = AB
So AB = x+ 8
Hello!
To find the volume of a cylinder, use the formula: V = πr²h.
In the formula, r is the radius, and h is height of the figure.
In the given figure, the height of the cylinder is 8 feet and the radius is 5 feet. With those values, we can find the volume of the given figure.
V = π(5)²(8)
V = π(25)(8)
V = 200π, 628.32 (multiplied by π), 628 (multiplied by 3.14)
Therefore, the volume of this cylinder is 628.32 feet cubed.
