What is the solution to -3/7m

ZA and ZB are vertical angles. If m/A = (4x − 8)° and m/B = (3x + 18)°,

Mazyrski [523]

For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26

We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.

Thus, angle A = angle B

Now we will put the value of the respective angles and solve for x, we will get,

angle A = angle B

(4x-8)° = (3x+18)°

4x – 3x = 18 + 8

x = 26

hence the value of x = 26

Learn more about vertical angles here : brainly.com/question/11553785

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4 0

2 years ago

HELP ME PLEASE im begging!!

adelina 88 [10]

Answer:

$x = 40$

Step-by-step explanation:

As the Corresponding angles are equal

$4x - 50 = 2x + 30 \\ 4x - 2x = 50 + 30 \\ 2x = 80 \\ \frac{2x}{2} = \frac{80}{2} \\ x = 40 \degree$

Hope this helps you.

Let me know if you have any other questions :-)

4 0

3 years ago

Read 2 more answers

A construction company is repaving a damaged road. So far, they have repaved a total of 97,338 inches of the road. Today, they r

borishaifa [10]

68,246 inches of road had been repaved before today.

Step-by-step explanation:

Given,

Length of road repaved so far = 97338 inches

Length repaved today = 29092 inches

Length repaved before today = Total length repaved - Length repaved today

Length repaved before today = 97338 - 29092

Length repaved before today = 68246 inches

68,246 inches of road had been repaved before today.

Keywords: subtraction

Learn more about subtraction at:

#LearnwithBrainly

3 0

3 years ago

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption for microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 250 W {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean power consumption for ovens = 257.3 W

σ = population standard deviation = 15 W

n = sample of microwave ovens = 20

So, the test statistics = $\frac{257.3-250}{\frac{15}{\sqrt{20} } }$

= 2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0

3 years ago

Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Exe

Free_Kalibri [48]

Answer:

a) 8,000!/(8000 - 4)! ways

b) 15,000,000 + 7998!/(7998 - 2)! ways

c) 5,000 + 7,999!/(7,999- 3)! ways

d) 3,000 + 7,999!/(7,999- 3)! ways

Step-by-step explanation:

The number of students at Rackham Graduate School = 8,000 students

The number of PhD students = 5,000

The number of masters students = 3,000

The number of student members of the Rackham Student Government Executive Board = 4 students

a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!

b) The number of ways of having one Master student in the board = 3,000 ways

The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways

The number of ways of selecting the remaining 2 members =

7998!/(7998 - 2)!

The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways

c) The number of ways of choosing the VP position as PhD = 5,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways

d) The number of ways of choosing a masters student as the VP position = 3,000 ways

The number of ways of choosing the other three members = 7,999!/(8000 - 3)!

Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways

8 0

3 years ago

What is the solution to -3/7m < 21???