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mezya [45]
3 years ago
13

The perimeter of a building is 78 feet. The width of the building is seven more than three times the length of the building. Wha

t is the width of the building? Solve algebraically Justify your answer using math vocabulary. MUST USE COMPLETE SENTENCES​
Mathematics
1 answer:
Alchen [17]3 years ago
8 0

P=2l+2w

W=7+3l

So substitute into the original equation

P=2l + 2(7+3l)

78=2l +14 + 6l

-14 -14

—————-

64=8l

8=length

W=7+3l

= 7+3(8)

=7+24

=31

Check your work

Perimeter=8+8+31+31

=78

Hope this helps

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I need to get this done
Allushta [10]

Answer:

x = 17 and y = 8

Step-by-step explanation:

Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.

Therefore, you can set them equal to each other and solve for x.

8x - 31 = 6x + 3

Combine like terms

2x = 34

Divide both sides by two

x = 17

Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.

(5y + 35) + (6(17) + 3) = 180

Add like terms

5y + 140 = 180

5y = 40

y = 8

7 0
3 years ago
Write a formula for a line that passes through the point (x,y) = (-3,5) and has an undefinedslopes.
Vladimir [108]

A line with undefined slope has an equation  x=a.

So,  for a line that passes through the point (x,y) = (-3,5) ,

has the equation x= - 3.

5 0
4 years ago
Write the decimal as a fraction or mixed number in simplest form. .45454545
agasfer [191]

Answer:

45454545 as a fraction equals 454545450/10

Step-by-step explanation:

3 0
3 years ago
I need help with this pls
antoniya [11.8K]
I'll explain it simply for you

1st question
Of course you know phythagoras theorm
You even wrote it up there
It states that the sum of the square of the two sides of an equilateral triangle is equal to the square of the hypotenuse
{a}^{2}  +  {b}^{2}   =  {c}^{2}
Where C is the hypotenuse
*NOTE* :
HYPOTENUSE is the greatest side in a triangle!!
And that's where your mistake is!
So you should take the greatest side as C
So in Q3. 7, 24 and 26 are the given numbers
You'll make the smaller two numbers a and b and the greatest number C
Using the Formula you'll solve the left side first which is
{a}^{2}  +  {b}^{2}
Then the right side which is
{c}^{2}

And if both are equal then it is a right triangle otherwise it isn't!
Let
a=7
b=24
c=26


a^2 + b^2
7^2 + 24^2
49 + 576 = 625
GREAT, Now the right side

26^2 = 676
Since they aren't equal it isn't a right angled triangle...

Then let
a=7.5
b=10
c=12.5

7.5^2 + 10^2
= 56.25 + 100
= 156.25



12.5^2 = 156.25

They are EQUAL
Therefore it is a right triangle too

Hopefully I helped
7 0
3 years ago
57. J(0,5), K(0, 0), L(-2, 0), P(4,8), Q(4,3), R(6, 3)
mihalych1998 [28]

Answer:

what you need

Step-by-step explanation:

sbbrma asks dmahh aos. Dan doss TNT saobe Dan dndjd f fjdhej f coapshf f xkslshd d xls HD x jams fnf

4 0
3 years ago
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