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3 years ago

A.complementary B.supplementary C.vertical D.acute

Mathematics

2 answers:

seraphim [82]3 years ago

7 0

Answer:

what is the question?

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

bonufazy [111]3 years ago

4 0

Please give me Brainiest

Answer:

In general two things are complementary when they add up to a whole of some kind. For example, in geometry, two angles are said to be complementary when they add up to 90°. One angle is said to be the complement of the other.

more ... Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees.

In geometry, a vertical line is one which runs from up and down the page. Its cousin is the horizontal line which runs left to right across the page. A vertical line is perpendicular to a horizontal line.

In math, the word 'acute' refers to an angle less than 90°, or to a shape involving angles less than 90°. It is the opposite of obtuse, which refers to an angle greater than 90°.

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one canned juice drink is 25% orange juice ; another is 10% orange juice. how many liters of each should be mixed towing order t

JulijaS [17]

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Assumptions
-------------------------------------------------------------------------------------------------
Let x be the amount of 25% orange juice
Let y be the amount of 10% orange juice

-------------------------------------------------------------------------------------------------
There are 15 litres of 13% orange juice
-------------------------------------------------------------------------------------------------
x + y = 15

-------------------------------------------------------------------------------------------------
The 15 litres of juice is 13% orange juice
-------------------------------------------------------------------------------------------------
0.25x + 0.1y = 15 x 0.13
0.25x + 0.1y = 1.95

-------------------------------------------------------------------------------------------------
Rewrite the equations and solve for x and y
-------------------------------------------------------------------------------------------------
x + y = 15 ----------------------- (Equation 1)
0.25x + 0.1y = 1.95 ----------- (Equation 2)

(Equation 1):
x + y = 15
x = 15 - y ----------- (Substitute into Equation 2)

0.25 (15 - y) + 0.1y = 1.95
3.75 - 0.25y + 0.1y = 1.95
0.15y = 1.8
y = 18 ÷ 0.15
y = 12 ------------- (substitute into Equation 1)

x + y = 15
x + 12 = 15
x = 15 - 12
x = 3

x = 3 and y = 12

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Answer: 3 liters of 25% of orange juice with 12 liters of 10% orange juice
-------------------------------------------------------------------------------------------------

7 0

3 years ago

1/6 divide by 1 3/8 Show ur work Simplify

DENIUS [597]

1/6 / 1-3/8
make mixed fractions= 1/6, 11/8
keep change flip
1/6 X 8/11
times across
8X1=8
6X11=66
8/66
reduce

8/2=6/3=2
66/2=33/3=11
answer:2/11

7 0

3 years ago

What parts of the right triangle are used when applying the Pythagorean Theorem? How is it used to solve a right triangle?

Bogdan [553]

You use the equation a^2 + b^2 = c^2 and the parts include the hypotenuse which is across from the right angle(the diagonal part of the triangle) and this is also the c for the equation and the a and b are the two legs(the other lengths of the triangle) and to find one of these you plug what you know into the equation and go from there

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3 years ago

The algebraic rule for a reflection over the x-axis is one for the following:

ludmilkaskok [199]

Answer:

Step-by-step explanation:

When reflecting around the x axis, the x value stays the same and the y- will change.

5 0

3 years ago

In 2008 the Better Business Bureau settled 75% of complaints they received (USA Today, March 2, 2009). Suppose you have been hir

Anton [14]

Answer:

Explained below.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}= p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

(a)

The sample selected is of size n = 450 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{450}}=0.0204$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0204^{2})$ .

(b)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.96$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.95.

(c)

The sample selected is of size n = 200 > 30.

Then according to the central limit theorem the sampling distribution of sample proportion is normally distributed.

The mean and standard deviation are:

$\mu_{\hat p}=p=0.75\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.75(1-0.75)}{200}}=0.0306$

So, the sampling distribution of sample proportion is $\hat p\sim N(0.75,0.0306^{2})$ .

(d)

Compute the probability that the sample proportion will be within 0.04 of the population proportion as follows:

$P(p-0.04$

$=P(-1.31$

Thus, the probability that the sample proportion will be within 0.04 of the population proportion is 0.81.

(e)

The probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 450 is 0.95.

And the probability that the sample proportion will be within 0.04 of the population proportion if the sample size is 200 is 0.81.

So, there is a gain in precision on increasing the sample size.

6 0

3 years ago