All categories

3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

Mamont248 [21]3 years ago

7 0

Answer:

x + x + 100 = 180

2x + 100 = 180

2x = 80

x = 40

Step-by-step explanation:

Yuri [45]3 years ago

5 0

Answer:

x=40

Step-by-step explanation:

It is a straight line, and we know that angles on a straight line are supplementary, or add to 180 degrees.

So, all the angles added together must equal 180 degrees

100+x+x=180

Combine like terms

100+2x=180

Subtract 100 from both sides

2x=80

Divide by 2 on both sides

x=40

Hope this helps! :)

You might be interested in

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met

Sav [38]

Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = $x$

On Martin's first stroke, ball traveled = $\frac{4}{5} \ of \ total \ distance\ to\ the\ hole$

$=\frac{4}{5} \times x=\frac{4x}{5}$

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

$x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters$

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = $\frac{1}{1000}$

395 meters = $\frac{1}{1000}\times395=0.395\ kilometre$

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

8 0

3 years ago

Find the volume of the sphere shown to the right. Give an answer in terms of pi and rounded to the nearest cubic unit.

Vladimir [108]

The correct answers are:
Exact volume = $V = \frac{32}{3} \pi$ in^3
Approximate volume = V = 33.51 in^3

Explanation:

The volume of the sphere is: $V = \frac{4}{3} \pi r^3$

Since r = 2 in

Hence
$V = \frac{4}{3} \pi (2)^3 \\ V = \frac{32}{3} \pi$ in^3 (exact)
V = 33.51 in^3 (approximate)

5 0

3 years ago

Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

$L = 97 + 2.19 = 99.19 = 99.2$ cm

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0

3 years ago

MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.

lapo4ka [179]

Answer: j=0.4

-j+0.8=-0.9j+0.76

-j+0.8+0.9j=-0.9+0.76+0.9j

-0.1j+0.8=0.76

-0.1+0.8-0.8=0.76-0.8

-0.1j=-0.04

-0.1j/-0.1=-0.04/-0.1

j=0.4

Ya have a good day.

5 0

3 years ago

Read 2 more answers

of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled

Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people

3 0

3 years ago