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2 years ago

Select the FOUR equations that are equivalent to 2(x+3)−2=16.

Mathematics

1 answer:

zimovet [89]2 years ago

8 0

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

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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

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

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Find the measure of angle b. 40° A) 140° C) 40° B) 50° D) 136°

spayn [35]

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2 years ago

What is the area of the triangle below?

Cloud [144]

The area of the triangle below is 7.5 units

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2 years ago

What the same as 1.4

liubo4ka [24]

Answer:

$\frac{7}{5}$

Step-by-step explanation:

You can make 1.4 as a fraction, and it will be the same but in a different form.

So, to make a decimal by a fraction, you make 1.4 into a whole number. 1.4 will be 14.

Now, the denominator will be 10.

So, when you simplify $\frac{14}{10}$ , which is $\frac{7}{5}$

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3 years ago