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lara [203]
3 years ago
11

m∠RSU = (7x + 3)° and m∠UST = (11x − 21)°. If ∠RSU and ∠UST are complementary, what is the measure of each angle?

Mathematics
1 answer:
Stels [109]3 years ago
3 0

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

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please help I have no idea on how to do this please help​ I will give a brainlyist to the first person to answer
Julli [10]
Cutting to the chase, the answer is more than 1 kilometer, up to 1,715 meters. If the speed of sound is 343 meters per second then 343 * 5 = 1,715 meters every 5 seconds
8 0
3 years ago
Amanda, Rafael, and Michael served a total of 92 orders Monday at the school cafeteria. Rafael served 2 times as many orders as
Schach [20]

The number of orders Michael, Rafael and Amanda served are 16.8, 33.6, and 41.6 servings

respectively.

<h3>Equation</h3>

  • Michael = x
  • Rafael = 2x
  • Amanda = 2x + 8
  • Total servings = 92 orders

x + 2x + (2x + 8) = 92

3x + 2x + 8 = 92

5x = 92 - 8

5x = 84

x = 84/5

x = 16.8 servings

Therefore,

Michael = x

= 16.8 servings

Rafael = 2x

= 2(16.8)

= 33.6 servings

Amanda = 2x + 8

= 33.6 + 8

= 41.6 servings

Learn more about equation:

brainly.com/question/4344214

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5 0
2 years ago
You have a rectangular yard that measures 16 feet Long by 14 feet wide.it id covered in grass except For in the Center,where the
BartSMP [9]
A of the yard= L*l=16*14=  224 feet²

A of the fountain= πR²

d=2R
4=2R

R=4:2=2

A of the fountain= 2²π=4 *3,14= 12,56 feet²

A of the grass portion= 224-12,56=  211,43 feet²

answer d)211,43 feet²
5 0
3 years ago
What statement is true?
givi [52]

Answer:

\frac{18}{32}>\frac{16}{32}

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1.  \frac{14}{21}>\frac{17}{24}

Now On solving we get;

\frac{14}{21} = 0.66

\frac{17}{24}=0.70

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. \frac{18}{32}>\frac{16}{32}

Now On solving we get;

\frac{18}{32}=0.5625

\frac{16}{32}= 0.5

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3.  \frac{20}{15}

Now On solving we get;

\frac{20}{15} = 1.33

\frac{28}{23}=1.2

So we can see that 1.33 > 1.2

Hence The given statement is False.

4.  \frac{29}{35}

Now On solving we get;

\frac{29}{35}= 0.82

\frac{20}{30}= 0.66

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0
3 years ago
Suppose that the weights of 5400 registered female Labrador retrievers in the United States are distributed normally with a mean
Maurinko [17]

Answer:

N= 4543 Labrador retrievers

Step-by-step explanation:

We know that the mean \mu is:

\mu = 62.5

and the standard deviation \sigma is:

\sigma=2.5

The probability that a randomly selected Labrador retriever weighs less than 65 pounds is:

P(X

We calculate the Z-score for X =65

Z = \frac{X-\mu}{\sigma}\\\\Z =\frac{65-62.5}{65}=1

So

P(X

Looking in the table for the standard normal distribution we have to:

P(Z.

Finally the amount N of Labrador retrievers that weigh less than 65 pounds is:

N = P(X

N = 0.8413*5400

N= 4543 Labrador retrievers

6 0
3 years ago
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