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3 years ago

Ray ML and MN are perpendicular. ray MP ia an angel bisector. find the value of x .

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer: x = 15

Step-by-step explanation:

First, we will have to acknowledge that Angle M is a complementary angle (that means that it is 90 degrees) meaning that 2x° + 4x° will equal 90 degrees. So, let’s set up this equation.

90 = 2x + 4x

90 = 6x

$\frac{90}{6}$ = $\frac{6x}{6}$

15 = x

Therefore, the x is 15.

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Whats 90 divided by 2 times 5

Allisa [31]

Answer:

225

Step-by-step explanation:

90 divided by 2 is 45, 45 times 5 is 225

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3 years ago

Read 2 more answers

Solve for X Thank youuu

maksim [4K]

Answer:

x= -4

Step-by-step explanation:

∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)

-16x +13 -20x +23= 180

bring x term to 1 side, constant to the other:

-36x= 180 -13 -23

Simplify:

-36x= 144

x= 144 ÷ (-36)

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2 years ago

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j

Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

The alternative hypothesis $H_a : \mu < 15.9$

The test statistics $z = -2.64$

Step-by-step explanation:

From the question we are told that

The population mean value for time citizens remain unemployed is $\mu = 15.9 \ weeks$

The sample size is n = 50

The sample standard deviation is 6.7 weeks.

The sample mean value for time citizens remain unemployed is $\mu = 15.9 \ weeks$

The null hypothesis is $H_o : \mu \ge 15.9$

The alternative hypothesis $H_a : \mu < 15.9$

Generally test statistics is mathematically represented as

$z = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }$

=> $z = \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}$

=> $z = -2.64$

7 0

3 years ago

A box of candy had 4 cherry pieces for every 9 lemon pieces. If the box had 45 lemon pieces, how many cherry pieces would there

Damm [24]

Answer:

Step-by-step explanation:

4 0

2 years ago

Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 9 inches, and t

MatroZZZ [7]

To solve this problem, you must follow the proccedure below:

1. The block was cube-shaped with side lengths of 9 inches and to calculate its volume (V1), you must apply the following formula:

V1=s³

s is the side of the cube (s=9)

2. Therefore, you have:

V1=s³
V1=(9 inches)³
V1=729 inches³

3. The lengths of the sides of the hole is 3 inches. Therefore, you must calculate its volume (V2) by applying the formula for calculate the volume of a rectangular prism:

V2=LxWxH

L is the length (L=3 inches).
W is the width (W=3 inches).
H is the heigth (H=9 inches).

4. Therefore, you have:

V2=(3 inches)(3 inches)(9 inches)
V2=81 inches

5. The amount of wood that was left after the hole was cut out, is:

Vt=V1-V2
Vt=648 inches³

7 0

2 years ago

Ray ML and MN are perpendicular. ray MP ia an angel bisector. find the value of x .​

Ray ML and MN are perpendicular. ray MP ia an angel bisector. find the value of x .