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Over [174]
2 years ago
13

What is x?

Mathematics
2 answers:
Nadya [2.5K]2 years ago
8 0

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO  =14/7 =2

Both are equal and hence verified

sergij07 [2.7K]2 years ago
6 0
I don’t know the answer to the question
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Is negative 5/16 greater less than or equal to negative 8/25
Bezzdna [24]

Answer:

-5/16 > -8/25

Step-by-step explanation:

125/400 > -128/400

so...

-5/16 > -8/25

3 0
3 years ago
A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
10 POINTS!!!<br><br> Name an angle that is adjacent to ∠BOC.
bogdanovich [222]
An angle adjacent to BOC would be COD or BAC. 
5 0
3 years ago
antwan is looking to get an apartment that cost $650 per month. How much does he need to make per year
vitfil [10]

Answer:

the answer is 7800

Step-by-step explanation:to get the answer you need to multiply 650 times how many months there are in a year which are 12 so 650 times 12 equals 7800 I hope this helped you.

                                                                             

5 0
2 years ago
The school amrching band has 36 members, the band director wants to arrange the band members into a square formation how many ba
bixtya [17]
If it is in a square formation, you would have to find the square root of 36 which is 6
8 0
3 years ago
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