Answer:
5
Step-by-step explanation:
Simplifying
8 + 4 = 2(x + 1)
Combine like terms: 8 + 4 = 12
12 = 2(x + 1)
Reorder the terms:
12 = 2(1 + x)
12 = (1 * 2 + x * 2)
12 = (2 + 2x)
Solving
12 = 2 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, and all other terms to the right.
Add '-2x' to each side of the equation.
12 + -2x = 2 + 2x + -2x
Combine like terms: 2x + -2x = 0
12 + -2x = 2 + 0
12 + -2x = 2
Add '-12' to each side of the equation.
12 + -12 + -2x = 2 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = 2 + -12
-2x = 2 + -12
Combine like terms: 2 + -12 = -10
-2x = -10
Divide each side by '-2'.
x = 5
Simplifying
x = 5
Answer: 115 degrees
Step-by-step explanation:
Since a kite has one pair of opposite angles which are congruent, W and Y must be congruent because X and Z are not.
The sum of the angles in any quadrilateral is 360 degrees. We know two of the angles as 90 degrees and 40 degrees, so the sum of the other two angles must be 360-90-40 = 230 degrees.
We know that W and Y must be equal so each of them is equal to 230/2 degrees = 115 degrees.
Answer:
Step-by-step explanation:
7v = 2v - 20
First, subtract 2v from both sides. / Your problem should look like: 7v - 2v = -20
Second, simplify 7v - 2v to 5v. / Your problem should look like: 5v = -20
Third, divide both sides by 5. / Your problem should look like: v =
Fourth, simplify
to 4. / Your problem should look like: v = -4
Answer:
v = -4
Answer:
T1 = 975 / (205 + V) flying with wind
T2 = 975 / (205 - V) flying against wind
T2 = T1 + 2
975 * {1 / (205 - V) - 1 / (205 + V)] = 2
(205 + V + V -205) / (205^2 - V^2) = 2 / 975
V^2 + 975 V - 42025 = 0 rearranging
V = 41.3
Values of flying are 246.3 and 163.7
Check:
T1 = 975 / 246.3 = 3.96 hrs
T2 = 975 / 163.7 = 5.96 hrs
