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2 years ago

Tell whether the angles are complementary or supplementary. Then find the value of x

Mathematics

2 answers:

lara31 [8.8K]2 years ago

8 0

Answer:

Complementary, x is 78

Step-by-step explanation:

Let's first define what complementary and supplementary angles are. Complementary angles add up to 90 degrees, and supplementary add up to 180. From this image, we can see that this is a right angle. Right angles add up to 90 degrees, therefore, this is a complementary angle.

Now, because we know that it is 90 degrees and that (x-8)+(20) = 90, then we can solve for x. However, if the angle is unknown, then we would do x-8=20. In this case, sense we know for sure this angle is complementary, we do

(x-8)+(20) = 90

X+12=90 We combined like terms

X=78 Inverse operations

You can plug 78 into x and check to see if it is correct if they are 90 degrees total.

luda_lava [24]2 years ago

3 0

Answer:

Complementary, x=78

Step-by-step explanation:

90= (x-8)+20

complementary angles add up to 90 degrees.

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The figure below is rotated 270° clockwise about the origin .List the coordinates of the image.

meriva

Answer:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

Step-by-step explanation:

Before the rotation:

A (-4, 4), B (6, 2), C (1, 1), D(-5, 3)

270° rotation clockwise is the same as 90° counterclockwise. To do that transformation:

(x, y) → (-y, x)

Therefore, the coordinates of the rotated figure are:

A (-4, -4), B (-2, 6), C (-1, 1), D(-3, -5)

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3 years ago

Jean needs 1 third cup of walnuts for each serving of salad she makes she has 2 cups of walnuts how many serving can she make

olchik [2.2K]

In 1/3 cup of walnuts, she makes 1 serving of salad

Therefore, In 1 cup of walnuts, she makes 3 servings of sald.

And hence in 2 cups of walnuts, she makes 2*3 = 6 serving of salad.

So the answer of the given question is , if she has 2 cups of walnus, then she makes 6 serving of salad .

4 0

3 years ago

Stephen spent $12.35 at a food truck. He bought 3 burgers for $1.25 each and 4 corndogs.

wlad13 [49]

Answer:

The 3rd one 2.15

Step-by-step explanation:

12.35 in whole

1.25 x 3 = 3.75

12.35-3.75= 8.60

$\sqrt[4]{8.60}$ = 2.15

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3 years ago

Read 2 more answers

For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.

Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 120, \sigma = 8$