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astraxan [27]
3 years ago
15

Find the length of x.

Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

x=7

Step-by-step explanation:

The two triangles are similar .

We can use the ratio's of the side to figure out x


2                3.5

-------- = --------------

4               x


Using cross products

2x = 4*3.5

2x=14

Divide each side by 2.

2x/2 = 14/2

x=7

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Answer:

Angle 6, Angle 8, Angle 2, and Angle 4 are supplementary to Angle 7.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!

5 0
3 years ago
What is the slope of the line?
loris [4]
5/5 using rise over run
3 0
3 years ago
During the first month of sales, a company sold 1,300,000
schepotkina [342]

The right answer is Option C.

Step-by-step explanation:

Given,

Smartphone sold = 1300000 units

Smartphones returned = 15%

No. of smartphones returned = 15% of smartphones sold

No. of smartphones returned =\frac{15}{100}*1300000

No. of smartphones returned = 0.15*1300000 = 195000 units

As sales and return rate remains same, therefore,

Returns in 6 months = 6*per month returns

Returns\ in\ 6\ months=6*195000=1170000\ units

1170000 units will be returned to the company during 6 months.

The right answer is Option C.

Keywords: multiplication, return rate

Learn more about multiplication at:

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5 0
3 years ago
Consider the following hypothesis test:
Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

H_0: \mu\leq50\\\\H_a:\mu> 50

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0
3 years ago
Change 240 to radian measure in terms of pi
Vera_Pavlovna [14]
To change a degree measure to a radian measure, we multiply by (π/180). So 360° becomes 2π radians, and 240° becomes 4π/3.
4 0
3 years ago
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