Answer:
x = 10.75
Step-by-step explanation:
To find the value of x, we need to know the equation for the perimeter of a rectangle. This equation is:
P = 2L + 2W
Where P is the perimeter, L is the length, and W is the width.
We are given P = 84, L = 3x -1 , and W = x. Now we just plug these values in and solve for x.
P = 2L + 2W
84 = 2 ( 3x - 1 ) + 2 ( x )
84 = 6x - 2 + 2x
84 = 8x - 2
86 = 8x
86 / 8 = x
43 / 4 = x
(40 + 3) / 4 = x
10.75 = x
Hence, the value of x = 10.75.
Cheers.
3 consecutive even integers.....x, x + 2, and x + 4
1/2(x + 2 + x + 4) = 65....multiply both sides by 2, canceling out 1/2
x + 2 + x + 4 = 65 * 2
2x + 6 = 130
2x = 130 - 6
2x = 124
x = 124/2
x = 62
x + 2 = 62 + 2 = 64
x + 4 = 62 + 4 = 66
so ur numbers are : 62,64,66 <==
7 units right, 3 units down
a) AB = 17 m, b) AC = 20.8 m.
Step-by-step explanation:
Step 1; Split the side on which AB lies into known shapes. It consists of a rectangle and a triangle. The rectangle has a length of 11 m and a width of 8m. The triangle has a base length of 26m - 11m = 15m. It has a height of 8m. So we can find the AB of the triangle.
AB = √(15² + 8²) (Pythagoras theroem) = √(225 + 64) = √289 = 17 m.
So AB length is 17m.
Step 2; We split the rectangle which contains ABC into two equal triangles. So the rectangle has a length equal to AB, so the length is 17m while width equals 12m. So we calculate the length of AC using the Pythagoras theorem.
AC = √(17² + 12²) (Pythagoras theroem) = √(289 + 144) = √433 = 20.808 m.
Rounding off 20.808 m to 1 decimal place, we get AC = 20.8 m.
Answer:
Step-by-step explanation:
20 - 8x - 21 + 7x
-x - 1