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dimulka [17.4K]
4 years ago
15

What is the slope of a line that is perpendicular to the line y=1/6x+4?

Mathematics
1 answer:
nlexa [21]4 years ago
7 0
Since the slope is rise/run, 1/6 goes up one, right 6. Perpendicular is opposite that. so a slope of -6 goes down 6 and right 1. (as a fraction it's -6/1)
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The sum of the measures of two complementary angles is 90°. If one angle measures 24° more than twice the measure of the​ other,
geniusboy [140]
X + y = 90

Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y

Now plug that into the x of the first equation.
(24 + 2y) + y = 90

Combine like terms.
24 + 3y = 90

Subtract 24 from both sides.
3y = 66

Divide both sides by 3.
y = 22

The measure of the smaller angle is 22°
3 0
3 years ago
Academic tenure is when a teaching or research position is given to a professor indefinitely. By removing concerns about job sec
Anarel [89]

Answer:

The correct null hypothesis in words is:

D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.

H_0: \pi = 0.5

Step-by-step explanation:

He wants to test the claim that the proportion of private schools that have avenues for professors to apply for tenure is significantly higher than 0.5, as happen with the public schools.

Then, the alternative hypothesis is:

H_a: \pi >0.5  

The null hypothesis represents the opposite claim, where the proportion is not significantly higher than 0.5. Then, the null hypothesis is expressed as:

H_0: \pi = 0.5

The correct null hypothesis in words is:

D. The long-run proportion of private colleges in the US, that have tenure-track faculty is 0.5.

4 0
3 years ago
Can you help me please
Dima020 [189]

Answer:

∠1 = 48

∠2 = 132

∠4 - 132

Step-by-step explanation:

∠3 and ∠1 are vertical angles

vertical angles are congruent ( equal to each other )

So if ∠3 = 48° then ∠1 also = 48°

∠3 and ∠4 are supplementary angles

supplementary angles add up to equal 180°

Hence, ∠3 + ∠4 = 180

48 + ∠4 = 180

180 - 48 = 132

Hence, ∠4 = 132

∠4 and ∠2 are vertical angles

Like stated previously vertical angles are congruent

Hence, ∠2 = 132

4 0
3 years ago
Find the simplified product 5/n+1 x n+1/n+3
IrinaVladis [17]
N^2 +3n+6 / n (as a fraction)
8 0
3 years ago
Read 2 more answers
If 8x = 48, then x = ___. (Only input whole number) Numerical Answers Expected!
sveticcg [70]
It equals 6.
8 * 6 = 48
48 / 6 = 8
x=6

Hope this helps!   <span>(^▽^)</span>
6 0
3 years ago
Read 2 more answers
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