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Furkat [3]
3 years ago
13

3/4(3x + 6) - 1/4(5x - 24)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
4 0
9x + 18 /4 + -5x + 24 / 4
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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

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2 years ago
) Which Measure of Central Tendency ALWAYS splits the data into a lower half and upper half?
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Answer:

median

Step-by-step explanation:

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7 0
3 years ago
lucas threw a ball 38 feet zola threw a ball 13 feet farther than lucas which equation shows the length of zola throw
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38+13      is the equation

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3 years ago
A survey of several 8 to 9 year olds recorded the following amounts spent on a trip to the mall: $31.11,$25.01,$18.53,$14.37,$24
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Solution :

Amounts spent on a trip : $31.11, $25.01, $18.53, $14.37, $24.16, $21.91

Confidence interval = 80%

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One sample T confidence interval

μ : Mean of variance

80% of confidence interval results :

Using statistical software,

Variable : data

Sample mean : 22.515

Std. Err. = 2.3479945

DF = 5

L. limit : 19.049632

U. Limit : 25.980368

SD = 5.75

Critical value = 1.476

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Answer:

solution attached below

Step-by-step explanation:

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3 years ago
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