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Hunter-Best [27]
3 years ago
8

What is the measure of U

Mathematics
2 answers:
iris [78.8K]3 years ago
6 0

Answer:

U = 48

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

x+21 + x+23 + x+61 = 180

Combine like terms

3x + 105 = 180

Subtract 105 from each side

3x+105-105 = 180-105

3x = 75

Divide by 3

3x/3 = 75/3

x = 25

We want angle u

x+23

25+23

48

Flura [38]3 years ago
5 0

Answer:

48

Step-by-step explanation:

All interior angles of a triangle add up to 180.

(x+21)+(x+23)+(x+61)=180

If you wanted to you could subtract 21, 23, and 61 from 180.

(x+21)+(x+23)+(x+61)=180\\x+21+x+23+x+61=180\\3x+105=180\\3x=75

Then take then number that's left and divide it by three, since they are all in addition to the same variable.

\frac{3x}{3}=\frac{75}{3}\\  x=25

Then add 25 to 23 which is 48.

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dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places th
gregori [183]

Complete question :

dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.

Answer:

24.43 feets

Step-by-step explanation:

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6 0
3 years ago
Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

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2 years ago
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Mkey [24]
Check the picture below.

notice, the gift box is just 6 rectangles stacked up to each other at the edges,

left and right, two rectangles of 32x40

top and bottom, two rectangles of 25x32

front and back, two rectangles of 25x40

so, just get the area of all 6 rectangles, add them up, and that's the "surface area" of the rectangular prism, and that's how much paper will be needed to cover it.

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4 years ago
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