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2 years ago

If each two complementary angles has the same measure, then each angle will equal what?

Mathematics

2 answers:

svetoff [14.1K]2 years ago

4 0

<h3>Answer: 45 degrees</h3>

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Work Shown:

Let x be the measure of each of the two angles (which is valid because they both have the same measure). Since they are complementary, the angles add to 90

So,

x+x = 90

2x = 90

x = 90/2

x = 45

Each angle is 45 degrees

45+45 = 90

Pavlova-9 [17]2 years ago

3 0

Answer:

Step-by-step explanation:

it's ammmmmmmmmmmmmmmmmmmmmost doen

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Why is the answer C?

baherus [9]

Step-by-step explanation:

∫₋₂² (f(x) + 6) dx

Split the integral:

∫₋₂² f(x) dx + ∫₋₂² 6 dx

Graphically, if f(-x) = -f(x), then ∫₋₂² f(x) dx = 0. But we can also show this algebraically.

Split the first integral:

∫₋₂⁰ f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Using substitution, write the first integral in terms of -x.

∫₂⁰ f(-x) d(-x) + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₂⁰ f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Flip the limits and multiply by -1.

∫₀² f(-x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

Rewrite f(-x) as -f(x).

∫₀² -f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

-∫₀² f(x) dx + ∫₀² f(x) dx + ∫₋₂² 6 dx

The integrals cancel out:

∫₋₂² 6 dx

Evaluating:

6x |₋₂²

6 (2 − (-2))

6 0

3 years ago

A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two yea

Lelu [443]

Answer: aA 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years = (0.163,0.189)

Step-by-step explanation:

Let p = population proportion of adults in the U.S. who have donated blood in the past two years.

Given: A Gallup survey of 2322 adults (at least 18 years old) in the U.S. found that 408 of them have donated blood in the past two years.

Sample size: n= 2322

Sample proportion $q=\dfrac{408}{2322}=0.176$

Critical z-value for 90% confidence level : z*=1.645

The confidence interval for population proportion:

$q\pm z^*(\sqrt{\dfrac{q(1-q)}{n}})$

A 90% confidence interval for the population proportion of adults in the U.S. who have donated blood in the past two years:

$0.176\pm (1.645)(\sqrt{\dfrac{0.176(1-0.176)}{2322}})\\\\=0.176\pm (1.645)(0.0079)\\\\=(0.176\pm0.013)\\\\=(0.176-0.013,0.176+0.013))\\\\=(0.163,0.189)$