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Allisa [31]
1 year ago
5

A square has a perimeter of 12 yd. What is the length of each side?

Mathematics
1 answer:
Lena [83]1 year ago
7 0

Answer:

  • Length of side of square is 3 yd.

~

Step-by-step explanation:

Let the side of square be 's'. We know that Perimeter of square is <u>4 ×</u> <u>Side</u>.<em> </em>By substituting values in the formula we can find the required side.

~

:\implies \sf  4 × s=Perimeter \:  of \:  square

~

:\implies \sf  \:  \:  \: 4 × s = 12

~

:\implies \sf \:  \:  \:  s =  \dfrac{12}{4}

~

:\implies \bf \:  \:  \:  Side = 3 yd.

~

\therefore \: Length of side of square is <u>3</u><u> </u><u>yd</u>.

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5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
sergeinik [125]

Answer:

f(x) = x + 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where (x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)

So, m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - (-2)}{-3 - (-5)}

m = \frac{0 + 2}{-3 + 5}

m = \frac{2}{2}

m = 1

The equation of the line can then be calculated using any of the given points;

Using

m = \frac{y - y_1}{x - x_1}

Where\ (x_1,y_1) = (-5,-2)\ and\ m =1

We have

1 = \frac{y-(-2)}{x-(-5)}

1 = \frac{y+2}{x+5}

Multiply both sides by x + 5

(x+5)*1 = \frac{y+2}{x+5} * (x+5)

x + 5 = y + 2

Subtract 2 from both sides

x + 5 - 2 = y + 2 - 2

x + 3 = y

y = x + 3

Replace y with f(x)

f(x) = x + 3

Hence, from the list of given options; Option B is correct

8 0
3 years ago
Please help idk what I’m doing
dsp73

Answer:

  m∠FXM = 24°

Step-by-step explanation:

This problem has a lot of extra data that has no relation to the question. You can basically ignore any business about isosceles triangles and congruent segments.

__

The only thing you need to know is the angle sum theorem:

  m∠FXM + m∠MXA = m∠FXA

Filling in the numbers, you get ...

  m∠FXM + 72° = 96°

  m∠FXM = 96° -72° = 24°

The measure of angle FXM is 24°.     (matches choice A)

8 0
3 years ago
The squirrel could store 48 nuts in a hiding place. If there were 768 nuts to hide, how
Dmitrij [34]

Answer:

16 hiding places

Step-by-step explanation:

768/48

=16

nuts hided/storing the nuts

7 0
3 years ago
Read 2 more answers
What is the surface area of a cube that has a side length of 5 feet?
harkovskaia [24]

Hello!

<h3><em><u>Answer</u></em></h3><h3 />

The surface area of the cube is 150 ft^{2}.


<h3><em><u>Explanation</u></em></h3>

A = 6 a^{2}

A = 6 5^{2}

A = 6 × 25

A = 150

6 0
2 years ago
Find the value of x:
slega [8]

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Using ΔAHC , then

∠ACH = 180 - (2x + 100) = 180 - 2x - 100 = 80 - 2x

∠ECD = ∠ACB ( vertical angles are congruent ), thus

∠ECD = ∠ACH + ∠HCB, that is

3x = 80 - 2x + x

3x = 80 - x ( add x to both sides )

4x = 80 ( divide both sides by 4 )

x = 20

7 0
3 years ago
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