Answer:
x=9
Step-by-step explanation:
The goal is to combine our knowledge of geometry area and algebra skills to solve this problems.
We know area of rectangle is

where l is the length and w is the width. We know that one side is 3 less than the other side. We can use L or W but let use L. Let x replace L
One side is x, while the other side is

Both multiply to 54.





or

Distance. is positive so x=9
The ratio of the side measures are 6:7:9.
Let's assume length of three sides of the triangle is 6x, 7x and 9x.
Given,perimeter of a triangle is 110 inches.. Perimeter is the sum of all three sides of the triangle. So, we can set up an equation as follows:
6x+7x+9x= 110
22x =110
Dividing each sides by 22.
x=5.
Now we can plug in x=5 in all the expressions of sides.
So, 6x=6(5)=30,
7x=7(5)=35
9x=9(5)=45.
So, the sides of the triangle are 30 inches, 35 inches and 45 inches.
Answer:
The answer is 70 feet
Step-by-step explanation:
<h3><u>Given</u>;</h3>
- The area of therectangular billboard covered by the ribbon was approximately 4200 square feet
- The width of the billboard was approximately 60 feet.
<h3><u>To </u><u>Find</u>;</h3>
- The height of this billboard = ?
<h3><u>Formula</u>;</h3>
Here, We know the area so,
Area = Width × Height
Height = Area ÷ Width
H = 4200 ÷ 60 feet
H = 70 feet
Thus, The height of the billboard is 70 feet
<u>-TheUnknownScientist 72</u>
Answer:
1.) x=4
2.) x=14
Step-by-step explanation:
FOR #1:
1.) In order to solve the parallelogram, you must know that each opposite sides must equal...
so KL=JM and KJ=LM
2.) To solve for "x", you must substitute

so it should end up with...

3.) Solve the equation with some algebra

FOR #2:
1.) In order for a square, rectangle, parallelogram, (or any shape with four sides), it must equal to 360°. And you just have two given angles, which equal to 180, so that means the unknown equals to 180...So in this case you should have

as your equation...
2.) Solve with algebra


<u><em>multiplied</em></u>
(a) 8(4x+3) > -1 + 7x
32x + 24 > -1 + 7x
32x - 7x > -1 -25
25x >-26
x > -26/25
(b) 167 < 6 + 7(2 - 7r)
167 < 6 + 14 - 49r
49r < 6 + 14 - 167
49r < - 147
r < - 3
(c) 8x + 40 > -8 ( 1 - 7x)
8x + 40 > -8 + 56x
56x - 8x < 48
48x < 48
x < 1
(d)5( 6 + 3r) + 7 > 127
30 + 15r + 7 > 127
15r > 127 - 37
15r > 90
r > 6