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3 years ago

M is the midpoint of AB. AM = 9x-6, and BM = 6x+27 find x. find Am. Find BM.

Mathematics

1 answer:

MAXImum [283]3 years ago

4 0

Answer:

x=11

Step-by-step explanation:

M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x

9x-6=6x+27 (set equal to eachother)

9x=6x+33 (add 6)

3x=33 (subtract 6x)

x=11 (divide by 3)

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A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.

Slav-nsk [51]

Answer:

Part 1) The exact value of the arc length is $\frac{25}{6}\pi \ in$

Part 2) The approximate value of the arc length is $13.1\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference of a circle is equal to

$C=2\pi r$

we have

$r=5\ in$

substitute

$C=2\pi (5)$

$C=10\pi\ in$

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

$\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in$

step 3

Find the approximate value of the arc length

To find the approximate value, assume

$\pi =3.14$

substitute

$\frac{25}{6}(3.14)=13.1\ in$

7 0

3 years ago

On a coordinate plane, trapezoid A B C D has points (negative 5, negative 2), (negative 1, 2), (0, negative 1), (negative 2, neg

Ludmilka [50]

Answer:

its c

Step-by-step explanation:

8 0

4 years ago

Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = $\frac{f(x_2)-f(x_1)}{x_2-x_1}$

(255 - 3) / (4 - 1) = 252 / 3 = 84

3 0

3 years ago

Please answer the questions. Thank you!

aliya0001 [1]

The perimeter would be 16 ft. The area would be 16 ft as well.

3 0

3 years ago

You can text 44 words in 1 minute. Write a proportion to help you find

Natalka [10]

Answer:

176 words

Step-by-step explanation:

1) well we want to find the amount of words we'd be able to type in 4 minutes. so, what i did was:

44 words = x

1 minutes = 4 minutes

2) now look at how i set up the proportion, notice how i left a variable of x for the value i didn't know.

3) we also know that 1 times 4 is 4, so it'd also make sense to also multiply the numerator by 4 too!!

4) multiplying 44 by 4 would get us our answer which is 176

im not the best at math but i this explanation helped <33

5 0

3 years ago