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3 years ago

In the figure below, GK is parallel to HJ What is the measure of KMI?

Mathematics

2 answers:

My name is Ann [436]3 years ago

8 0

Answer:

$\huge\boxed{29 \textdegree}$

Step-by-step explanation:

In order to find the measure of angle KMI, we need to note some angle relationships here.

GK and HJ are parallel lines cut by a transversal, meaning the angles formed by this transversal line will be the same along the parallel lines.

We know that the 29° angle is an alternate interior angle to KMI. This means their angle measures are the same.

Therefore, KMI is also 29°.

Hope this helped!

andriy [413]3 years ago

4 0

Answer:

$\bf \huge \red{29\textdegree}$

Step-by-step explanation:

★In order to find the measure of angle KMI, we need to note some angle relationships here.

★GK and HJ are parallel lines cut by a transversal, meaning the angles formed by this transversal line will be the same along the parallel lines.

★We know that the 29° angle is an alternate interior angle to KMI. This means their angle measures are the same.

★Therefore, KMI is also 29°.

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What is the least common multiple of 4 and 8

Ray Of Light [21]

Answer: 8

Step-by-step explanation: To find the least common multiple or (lcm) of 4 and 8, let's begin by listing the first few multiples of each number.

Multiples of 4

1 × 4 ≈ 4

2 × 4 ≈ 8

3 × 4 ≈ 12

4 × 4 ≈ 16

Notice that we skipped 0 × 6 in our list of multiples and this is because 0 × 4 is equal to 0 and our least common multiple can't be 0.

Now, let's list the multiples of 8. When listing the multiples of 8, it's a good idea to keep an eye on the list of multiples for 4 so that we will notice when we find a least common multiple.

Multiples for 8

1 × 8 = 8 ← is a multiple of 4

Notice that we can stop here because all other multiples that we find will be greater than 8. Therefore, the least common multiple or (lcm) of 4 and 8 is 8.

7 0

3 years ago

Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (ho

xxMikexx [17]

Answer:

Explained below.

Step-by-step explanation:

The ANOVA and Regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal is provided.

(A)

The estimated regression equation equation is:

$y=6.1092+0.8931x$

Here,

y = maintenance expense (dollars per month)

x = usage (hours per week) for a particular brand of computer terminal

(B)

Consider the Regression output.

The hypothesis to test whether monthly maintenance expense is related to usage is:

H₀: The monthly maintenance expense is not related to usage, i.e. β = 0.

Hₐ: The monthly maintenance expense is related to usage, i.e. β ≠ 0.

Compute the test statistic as follows:

$t=\frac{b}{S.E._{b}}=\frac{0.8931}{0.149}=5.99$

Compute the p-value as follows:

$p-value=2\times P (t_{8}$

The null hypothesis will be rejected if the p-value is less than the significance level.

p-value = 0.00033 < α = 0.05

Reject the null hypothesis.

(C)

Monthly maintenance expense is related to usage.

(D)

Yes, the estimated regression equation provide a good fit.

Since the regression coefficient is significant it can be concluded that the regression equation estimated is a good fit.

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4 years ago

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Alex_Xolod [135]

Answer:

The answer is letter D.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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