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3 years ago

The sum of the measures of ∠QRT and ∠TRS is 180∘. What is the measure of ∠TRS If ∠TRS = ∠QRT?

Mathematics

1 answer:

Bad White [126]3 years ago

5 0

Let the angles be x

∠QRT = x
∠TRS = x

We are taking both angles as x because they are equal!

$\mathcal{∠QRT + ∠TRS = 180 \degree}$

$\tt \: x + x = 180 \degree$

$\tt \: 2x = 180 \degree$

$\tt \: x = 90 \degree$

➪ Thus, The measure of both angles is 90°...~

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Answer:

Step-by-step explanation:

Population size : 11

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Order the data from least to greatest.

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Calculate the median of both the lower and upper half of the data.

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Step 1

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Step 2

medium = 45

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4 years ago

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Answer:

n = 0 or 10

Step-by-step explanation:

From the question,

Equation of the circle = (x-1)²+(y-5)² = 50 ............... Equation 1

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From the question

x = 6, y = n

Substitute the value of x and y into equation 1

(6-1)²+(n-5)² = 50

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(n-5)² = 25.

Solving for n

n-5 = √(25

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Either,

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n = -5+5

n = 0

n-5 = +5

n = 5+5

n = 10

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3 years ago

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No

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kodGreya [7K]

To figure out the total amount of hours an employee works, we have to multiply the total amount of employees by the amount of hours each employee would work.

To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:

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Multiply the whole number by the denominator:

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Add this number to the numerator to convert the mixed fraction into an improper fraction:

$90 + 4 = 94$

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Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):

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The whole number stays as a number, and the remainder is the new numerator:

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The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:

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Factors of 15: {1,3,5,15}

$\frac{5}{15} \div \frac{5}{5} = \frac{1}{3}$

$31 \frac{5}{15} = 31 \frac{1}{3}$

The 5 employees will work a total of 31 and 1/3 hours a day.

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3 years ago

The sum of the measures of ∠QRT and ∠TRS is 180∘. What is the measure of ∠TRS If ∠TRS = ∠QRT?​

The sum of the measures of ∠QRT and ∠TRS is 180∘. What is the measure of ∠TRS If ∠TRS = ∠QRT?