Answer:
x = 14
Step-by-step explanation:
The 2 given angles are vertical angles abd are congruent, so
4x - 22 = x + 20 ( subtract x from both sides )
3x - 22 = 20 ( add 22 to both sides )
3x = 42 ( divide both sides by 3 )
x = 14
Then
x + 20 = 14 + 20 = 34°
4x - 22 = 4(14) - 22 = 56 - 22 = 34°
Answer:
20%
Step-by-step explanation:
1. We assume, that the number 1250 is 100% - because it's the output value of the task.
2. I assume, that x is the value we are looking for.
3. If 100% equals 1250, so we can write it down as 100%=1250.
4. We know, that x% equals 250 of the output value, so we can write it down as x%=250.
5. Now we have two simple equations:
1) 100%=1250
2) x%=250
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1250/250
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 250 is what percent of 1250
100%/x%=1250/250
(100/x)*x=(1250/250)*x - we multiply both sides of the equation by x
100=5*x - we divide both sides of the equation by (5) to get x
100/5=x
20=x
x=20
now we have:
250 is 20% of 1250
Answer:
26
Step-by-step explanation:
5x+6y
substitute x=16 and y=-9:
5*16+6*(-9)
=80-54
=26
Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.
h² + 14h + (14/2)² = -31 + (14/2)²
Simplify the parenthesis and exponent.
h² + 14h + 7² = -31 + 7²
h² + 14h + 49 = -31 + 49
h² + 14h + 49 = 18
Factor the expression of the left.
(h + 7)(h + 7) = 18
Take the square root of both sides.
√(h + 7)(h + 7) = ± √9 • 2
(h + 7) = ± 3√2
h + 7 = ± 3√2
Subtract 7 from both sides.
You solutions are:
h = -7 + 3√2 → -2.7573 → -2.76
h = -7 - 3√2 → -11.2426 → -11.24
