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lakkis [162]
2 years ago
11

The measure of AngleRST can be represented by the expression (6x + 12)°. Three lines extend from point S. The space between line

s S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12. What is mAngleRST in degrees?
Mathematics
1 answer:
DochEvi [55]2 years ago
8 0

Answer:The measure of angle RST is 120\°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m<RST=(6x+12)\° -----> equation A

m<RST=78\°+(3x-12)\° -----> equation B

equate equation A and equation B

(6x+12)\°=78\°+(3x-12)\°

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X+8y<br> units<br> 8x -x+5y units<br> what’s the perimeter?
pochemuha

Answer:

P = 16x+26y units

Step-by-step explanation:

Let the length is (x+8y) units

Width = (8x-x+5y) units

We need to find the perimeter. We know that the perimeter is equal to the sum of all sides.

P = 2[(x+8y) + (8x-x+5y)]

= 2[(8x+8y+5y)]

= 2[8x+13y]

= 16x+26y

Hence, the required perimeter is 16x+26y.

3 0
2 years ago
What is 73/9 as a mixed number
yarga [219]
8 1/9 because 9 times 8 is 72 and 73-72=1 so 8 1/9
8 0
3 years ago
Read 2 more answers
Question: Researchers in Pakistan wanted to better understand the effects of anthracycline (a chemotherapeutic drug) on the hear
Sedbober [7]

Using the normal distribution, it is found that:

1. His z-score was of Z = -1.88.

2. There is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

3. Z-score of z = 1.85, there is a 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

4. Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of \mu = 1.35.
  • The standard deviation is of \sigma = 0.33.

Item 1:

Considering his ratio, we have that X = 0.73, hence:

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

Z = \frac{0.73 - 1.35}{0.33}

Z = -1.88

His z-score was of Z = -1.88.

Item 2:

The probability is the <u>p-value of Z = -1.88</u>, hence, there is a 0.0301 = 3.01% probability that a randomly selected person has a smaller E/A ratio than the patient in question 1.

Item 3:

Score of X = 1.96, hence:

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

Z = \frac{1.96 - 1.35}{0.33}

Z = 1.85

The probability is 1 subtracted by the p-value of Z = 1.85, hence, 1 - 0.9678 = 0.0322 = 3.22% probability that a randomly selected patient has a higher E/A ratio.

Item 4:

Due to the higher absolute value of the z-score, the first patient had a more extraordinary result.

More can be learned about the normal distribution at brainly.com/question/24663213

7 0
2 years ago
Help me asap
sasho [114]

Answer:

6p =120

Step-by-step explanation:

well the p's are very close together in a sense that we are going to multiply instead of add because they the p's would have space in between

6 * 20 = 120

so p= 20

6 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, -4) and (-4, 6)?
victus00 [196]

Answer: y=-5/2x-4

Step-by-step explanation: Use the slope formula and slope-intercept form y=mx+b to find the equation.

Hope this helps you out! ☺

5 0
3 years ago
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