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jolli1 [7]
2 years ago
6

Angle 1 and Angle 2 are complementary angles. The measure of angle 1 is 42 degrees. The measure of angle 2 is 3x degrees. Find t

he value of x.
Mathematics
1 answer:
natka813 [3]2 years ago
8 0

Answer:

x=16

Step-by-step explanation:

complementary means 90 degrees so

42 +3x = 90

3x=48

x=16

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17. Julie has $80 in her savings account and plans to save Sr each
marshall27 [118]

Answer:

$8(x + 10)

Step-by-step explanation:

The expression $8x + $80  has two terms. They are $8x and $80.

When you factor an expression, you are looking for numbers that every term in the expression can divide by (and give a whole number).

Just by looking at the terms, you see they both have $ you can factor out. They can both also be divided by 8. This is called taking out a common factor.

$8x + $80     Take out the common factor

= ($8x) / $8 + ($80) / $8

= $8(x + 10)      The common factor goes outside the terms' bracket

This expression can't be factored more because there are no common factors. The binomial also doesn't have square numbers for example, which might make a case where you need to factor further with different methods.

7 0
3 years ago
Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
  • s = \sqrt{0.6086^2 + 0.4556^2} = 0.76

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

#SPJ1

4 0
2 years ago
What is the value of the expression (2)^6?
Mumz [18]
The value of the expression (2)^6 is 64.
6 0
3 years ago
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Talja [164]
You have to go past the decimal point in since the first number in the tenths place is a zero you can't really round here so you go to the hundreds place and not so three you round down because 3 is closer to 0 then it is 10 so it would be 1. 4



3 0
3 years ago
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Enter the equation of the circle described below. <br> Center (-1,4), radius = sqrt3
slava [35]
The equation of a circle always follows this:

(x - x1) + (y - y1) = r^2

x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius

Your answer is (x + 1) + (y - 4) = 3
8 0
3 years ago
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