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OLEGan [10]
3 years ago
13

Can someone help me with the following question in the image

Mathematics
1 answer:
vodomira [7]3 years ago
6 0
<h2>Explanation:</h2>

In order to solve this problem, we'll use the concept of Mid-segment of a Trapezoid which is defined as the segment that connects he midpoints of the two non-parallel sides of the trapezoid. So, it is true that:

EF=\frac{AD+BC}{2} \\ \\ 5x=\frac{x+2+43}{2}  \\ \\ Isolating \ x: \\ \\ 10x=x+45 \\ \\ 9x=45 \\ \\ x=5 \\ \\ \\ So: \\ \\ EF=5x \\ \\ EF=5(5) \\ \\ \boxed{EF=25}

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Round off 9.999 to the nearest 10​
dlinn [17]

Answer:

the answer is 10 you round up a nine it keeps going to the end

6 0
3 years ago
E = mc2<br> please help ive been looking and i can’t find an answer for math.
goldfiish [28.3K]

Answer:

Don't really understand the question, but

7 0
4 years ago
I really need help I’m very confused
Vaselesa [24]

Answer:

10: -11n^5

12: 6k^2 -6k+7

Step-by-step explanation:

Ok so what your gonna do is add or subtract the ones with the same exponent.

so -15+4= -11 since they are both n^5 you can add them so your answer is:

-11n^2

now you have 8k^2-k-5k+7-2k. so you are gonna rearrange them so the same exponents are together.(keep the sign in front in front, if no sign it is positive)

8k^2-2k^2-5k-k+7

add like exponents

6k^2-6k+7

6 0
4 years ago
If set D is a subset of set E, then which of the following is true?
Georgia [21]
If set D is a subset of set E, it means that set E includes set D. D ∩ E = D The answer to your question is A. I hope that this is the answer that you were looking for and it has helped you.
4 0
3 years ago
The mean work week for engineers in start-up companies is claimed to be about 64 hours with a standard deviation of 8 hours. Kar
blondinia [14]

Answer:

1.) mean

2.) H0 : μ = 64

3.) 0.0028

4) Yes

Step-by-step explanation:

Null hypothesis ; H0 : μ = 64

Alternative hypothesis ; H1 : μ < 64

From the data Given :

70; 45; 55; 60; 65; 55; 55; 60; 50; 55

Using calculator :

Xbar = 57

Sample size, n = 10

Standard deviation, s = 7.14

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(57 - 64) ÷ 8 / sqrt(10)

Test statistic = - 2.77

Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)

α = 10% = 0.1

Reject H0 ; if P < α

Here,

P < α ; Hence, we reject the null

6 0
3 years ago
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