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4 years ago

Can someone please help me with this? thank u so much

Mathematics

2 answers:

MatroZZZ [7]4 years ago

6 0

Step-by-step explanation:

The perimeter of a triangle is calculated by adding all three side lengths together

That means x + 3 + x + 4 + x + 1 = 17 add the like terms

3x + 8 = 17

3x = 9

x = 3

BC = x + 3 ➡ 6

CD = x + 4 ➡ 7

BD = x + 1 ➡ 4

NeX [460]4 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the 3 sides and equate to 17, that is

x + 3 + x + 1 + x + 4 = 17, that is

3x + 8 = 17 ( subtract 8 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Thus

BC = x + 3 = 3 + 3 = 6

CD = x + 4 = 3 + 4 = 7

BD = x + 1 = 3 + 1 = 4

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Answer:

The equation to determine the length is $4w+2w=48$ .

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = $48\ ft$

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

$l=2w$ ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

$2(l+w)=48$ ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

$2(2w+w)=48$

Applying Distributive property we get;

$2\times2w+2\times w=48\\\\4w+2w=48$

Hence, The equation to determine the length is $4w+2w=48$ .

On Solving the above equation we get;

$4w+2w=48\\\\6w=48$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft$

Now Substituting the value of 'w' in equation 1 we get;

$l=2w=2\times8=16\ ft$

Hence The Length of the exercise mat is 16 feet.

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Step-by-step explanation:

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3 years ago

A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole

Brrunno [24]

Step-by-step explanation:

Given that,

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3 years ago

A rectangle has vertices (8, 6), (4, 6), (8, −4), and (4, −4). What are the coordinates after dilating from the origin by a scal

Mama L [17]

Answer: (12,9), (6,9), (12,-6) and (6,-6)

Step-by-step explanation:

Given: The coordinates of the original rectangle are (8, 6), (4, 6), (8, −4), and (4, −4). We know that the coordinates of the image after dilation from the origin by a scale factor of k is given by:_

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Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_

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Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).

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4 years ago

Can someone please help me with this? thank u so much ​

Can someone please help me with this? thank u so much