Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Answer:
2x² - 9x - 35
Step-by-step explanation:
f(x) × g(x) = (x - 7)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(2x + 5) - 7(2x + 5) ← distribute both parenthesis
= 2x² + 5x - 14x - 35 ← collect like terms
= 2x² - 9x - 35
Answer:
- 6.547
Step-by-step explanation:
Given that:
Sample size (n) = 1207
p = 0.85
p0 = 0.92
The test statistic :
Z = (p - p0) / √(p0(1 - p0) / n)
Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)
Z = - 0.07 / √(0.92(0.15) / 1207)
Z = - 0.07 / √0.0001143
Z = - 0.07 / 0.0106926
Z = - 6.5465446
Z = - 6.547
The correct answer is 6 because if u do 6 x 4(24) then to check your answer do 24 divided by 4 it will be 6
3.9*10 = 39 then that to the 20 power is 6.626621133E31
Hope this helps!