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insens350 [35]
3 years ago
11

Please Help! B belongs to AC D belongs to lineAF

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

You might be interested in
A nutritionist wants to estimate the average caloric content of the burritos at a popular restaurant. They obtain a random sampl
erma4kov [3.2K]

Answer:

\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}, option c

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and an \alpha level of \frac{1 - 0.95}{2} = 0.025, thus, we have t_{(0.025,15)}

The margin of error is of:

M = t_{(0.025,15)}\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have s = 50,n = 16. So

M = t_{(0.025,15)}\frac{s}{\sqrt{n}}

M = t_{(0.025,15)}\frac{50}{\sqrt{16}}

M = t_{(0.025,15)}\frac{50}{4}

Upper bound:

The upper bound is less than the sample mean of 700 added to the margin of error of M. Thus

\mu \leq 700 + t_{(0.025,15)}\frac{50}{4}

And the correct answer is given by option c.

7 0
2 years ago
The ratio of the current ages of two RSM summer camp students Dylan and Mike is 3:4. If Dylan had been 6 years younger and Mike
My name is Ann [436]

Answer:

13:16, 3:4, 5:8.

Step-by-step explanation:

The ratio of the current ages of two students Dylan and Mike is 3:4.

Let their ages are 3x and 4x respectively.

If Dylan had been 6 years younger and Mike 6 years older, the age of Mike would have been 6 times the age of Dylan.

Hence, we can write, 6(3x - 6) = (4x + 6)

⇒ 18x - 4x = 36 + 6

⇒14x = 42

⇒ x = 3

Therefore, the current age of Dylan is 3×3 =9 years and that of Mike is 3×4 =12 years.

Therefore, the ratio of Dylan's current age to Mike's current age is 3:4. The ratio of their ages in four years ago will be (9-4):(12-4) =5:8

The ratio of their ages in four years from now will be (9+4):(12+4) =13:16

Hence, the ratios in descending order is 13:16, 3:4, 5:8.

(Answer)

6 0
3 years ago
PLEASE HELP ME
Yanka [14]

Answer:

D "Matt wants to spend no more than" That indicates that it would be Less Than or = to

Step-by-step explanation:

8 0
2 years ago
Please huryyyyyyyyy please helpppppp
Marrrta [24]

The square root of integers where one can get the number 2.71 will be between 7 and 8.

The square root of integers where one can get the π will be between 9 and 10

<h3>How to illustrate the value?</h3>

It should be noted that the <em>square</em> of a number simply means multiplying the number by itself.

Therefore, the.square root of integers where one can get the number 2.71 will be between 7 and 8.

Also, the square root of integers where one can get the π will be between 9 and 10

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

5 0
1 year ago
Pleeeeeeeeaaaseeeeee help meeeeeeee!!!!!!!!!
zaharov [31]

Answer:

Option D.

A =96\pi\ cm^2

Step-by-step explanation:

The area of the circular bases is:

A_c = 2\pi(a) ^ 2

Where

a=4\ cm is the radius of the circle

Then

A = 2\pi(4) ^ 2

A = 32\pi\ cm^2

The area of the rectangle is:

A_r=b * 2\pi r

Where

b=8\ cm

b is the width of the rectangle and 2\pi r is the length

Then the area of the rectangle is:

A_r=8 * 2\pi (4)

A_r=64\pi\ cm^2

Finally the total area is:

A = A_c + A_r\\\\A = 32\pi\ cm^2 + 64\pi\ cm^2\\\\

A =96\pi\ cm^2

7 0
3 years ago
Read 2 more answers
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