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3 years ago

Can someone help me i will give you brainiest

Mathematics

1 answer:

Lisa [10]3 years ago

6 0

Answer:

P = 2(4x - 5)

Step-by-step explanation:

The formula for solving the perimeter of a rectangle is:

P = 2(L + W), or

P = 2L + 2W

Given the length (L) = 3x - 7, and width (W) = x + 2:

Substitute these values into the perimeter formula in order to solve for x and determine the actual dimensions of the given rectangle.

P = 2L + 2W

Use the distributive property of multiplications (over subtraction and addition, respectively), and distribute 2 into each parenthesis:

P = 2(3x - 7) + 2(x + 2)

P = 6x - 14 + 2x + 4

Combine like terms:

P = 8x - 10

Factor out the common term to reduce the algebraic expresssion into its simplest form:

P = 2(4x - 5)

Therefore, the perimeter of the given rectangle in its simplest form is:

P = 2(4x - 5).

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Anestetic [448]

Answer:

1 N 3

Step-by-step explanation:

8 0

3 years ago

The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0

3 years ago

Find the measures of the numbered angles.

Arte-miy333 [17]

1 = 90
2 = 65
3 = 65
4 = 25

90+25=115
180-115=65

have a merry christmas :)

3 0

3 years ago

Rickey has 7 over 8 cup of cereal in a bowl. He then gave two 1 over 4 cups of cereal from his bowl to his little sister. Which

NeX [460]

Answer:

5/8 cup left

Step-by-step explanation:

7/8 - 1/4

1/4=2/8

7/8-2/8

5/8

5 0

3 years ago

Given the following functions, find and simplify (f • g)(x) f(x)=—x+3 g(x)=-x-1

Hitman42 [59]

Answer:

$(f\circ g)(x)= x + 4$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

We are given the functions:

f(x) = -x + 3

g(x) = -x -1

Find

$(f\circ g)(x)=f(g(x))= - (-x -1) + 3$

Removing parentheses:

$(f\circ g)(x)= x + 1 + 3$

Simplifying:

$\mathbf{(f\circ g)(x)= x + 4}$

5 0

3 years ago