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r-ruslan [8.4K]
4 years ago
15

What is the measure of the angles?

Mathematics
1 answer:
statuscvo [17]4 years ago
5 0

Answer:

The angle is 35

Step-by-step explanation:

The angles are vertical angles, so they are equal

3x-4 = 2x+9

Subtract 2x from each side

3x-2x-4 = 2x+9-2x

x-4 = 9

Add 4 to each side

x-4+4 = 9+4

x=13

But it asked for the measure of the angle

2x+9

2(13)+9

26+9

35

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A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in how is the approp
vova2212 [387]

Answer:

The correct answer is

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

Step-by-step explanation:

To solve the question we note that the question involves a test statistic calculation given by

t = \frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1} +}\frac{s_2^2}{n_2}  } Where

x₁ = Mean of sample 1

x₂ = Mean of sample 2

n₁ = Sample size of sample 1

n₂ = Sample size of sample 2

s₁ = Variance of sample 1

s₂ = Variance of sample 2

s₁ = ∑(x₁ - x₁')²/n₁,  s₂ = ∑(x₂ - x₂')²/n₂

The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis

With the given data, we have

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

4 0
3 years ago
Use the distributive property to write an equivalent expression to 7(k+8)
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Select all correct factored forms for the equation x^2+x−42=0 . Answer Choices A .(x−7)(x+6)=0 B. (x+7)(x−6)=0 C. (x−6)(x+7)=0 D
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Both B and C will give you the correct factorization for this equation.

When you factor a quadratic, you are looking for factors of the last number (-42) that add up to the middle coefficient (1). Below are the factors of -42.

1*-42

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2*-21

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6*-7

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And since these two are the only ones that add up to 1, we use these in parenthesis, creating the following (x - 6)(x + 7) - which is answer C. You also can switch the order due to the laws of multiplication. If you switch them around you get (x + 7)(x - 6) - which is answer B as well.

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