Answer:
Step-by-step explanation:
x + 32 + 2 vertically opposite degrees = 180 Beginning condition
x + 32 + x + 126 + 36 = 180 Combine like terms
2x + 194 = 180 Subtract 162 from both sides
2x = -14
x = -7
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So the three angles are
36
-7 + 32 = 25
-7 + 126 = 119
Total = 180
That negative can throw you for a loop.
Answer: 11
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Explanation:
To find the inverse, or f^-1 of a function, you first replace the y= 6x-4 with x=6y-4
Finding the inverse from here is basically just finding y in terms of x.
1) x=6y-4
2) x+4=6
3) (x+4)/6= y
y= (x+4)/6 is now your f^-1.
Now that you have your inverse, replace 62 with your x in y=(x+4)/6
1) (62+4)/6
2) 66/6
3) 11
Therefore, f^-1(62)= 11
Hope this helps :)
Answer:
loss
Step-by-step explanation:
The problem says that line TQ is 18 units. The little red line through TQ and TR means that both lines are the same, so TR also equal 18 units.
We can solve for x in the equation for TR :
2x+10 = 18
Subtract 10 from each side:
2x = 8
Divide both sides by 2:
x = 4
Because TQ and TR are identical, RS and QS are also identical so we can replace X with 4 in the equation for QS:
9(4) -11 = 36 - 11 = 25
RS = 25 units.
Answer:
Option C is correct.
The test statistic for this question is -3.13
Step-by-step explanation:
To compute the z-test statistic, the formula is given as
z = (x - μ₀)/σₓ
x = p = sample proportion of the 500 college students sampled, that favor reducing the deficit using only spending cuts with no tax increase = (75/500) = 0.15
μ₀ = p₀ = the proportion to be compared against, that is, the proportion of Americans that favor reducing the U.S. budget deficit by using spending cuts only, with no tax increases = 20% = 0.20
σₓ = standard error of the sample proportion = √[p(1-p)/n]
p = 0.15
n = Sample size = 500
σₓ = √[0.15×0.85/500] = 0.01597
z = (0.15 - 0.20) ÷ 0.01597
z = -3.13
Hope this Helps!!!