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3 years ago

In the diagram M is the midpoint if the segment. Find the length of XZ

Mathematics

2 answers:

Natasha2012 [34]3 years ago

8 0

Answer:

3x - 1

Step-by-step explanation:

$XZ=XM+MZ\\XZ=(x+2)+(2x-3)\\XZ=x+2x+2-3\\XZ=3x-1$

so the length of XZ = 3x - 1

deff fn [24]3 years ago

4 0

Answer:

XZ = 14

Step-by-step explanation:

x+2 = 2x-3

-1x from both sides

2 = x - 3

+3 to both sides

5 = x

(plug in x for XM and MZ equations)

(5 + 2) + ((2×5) - 3)

7 + 7 = 14

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The sum of five and three times a number is 74. Find the number.

Helga [31]

Answer:23

Step-by-step explanation:

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4 years ago

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Michela’s skateboard ramp is at an incline of 40°. When she attempts a trick on the ramp, she finds that it is too steep. She ad

marissa [1.9K]

Answer:

22.7604763 degrees

Step-by-step explanation:

Note that the answer is NOT 20 degrees.

She adjusted the ramp to half the original <em>incline</em>

Therefore we have tan 40 = x = 0.839099631.

We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815

Taking the arctan of both sides, we get

y = arctan(0.419549815) = 22.7604763 degrees

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3 years ago

A teacher and a doctor each have 45 books. If 4/5 f the teacher's books and 2/3 of the doctor's books are novels, how many more

Anarel [89]

Answer:

3/5

Step-by-step explanation:

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3 years ago

Identify the Texas Governor who resigned his office in order to lead Texas Troops in the U.S. vs Mexican War.

sergeinik [125]

Answer:

Sam Houston

Sam Houston, c. 1850

7th Governor of Texas

In office December 21, 1859 – March 15, 1861

Lieutenant Edward Clark

Step-by-step explanation:

3 0

3 years ago

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in

vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

The coefficient of determination is a measure that explains and predicts the dependent variable.
It explains the variation in the dependent variable caused by the independent variable.
The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

$\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%$

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

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3 years ago