Answer:
Length = 16.3 in and Width = 12.3 in
Step-by-step explanation:
Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:
"<em>the length of a rectangle is 4 more than the width</em>"
L = W + 4
"<em>the perimeter of the rectangle is 57.2 inches</em>"
2 L + 2 W = 57.2
(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)
Now we use the first equation to substitute for L in the second one:
2 ( W + 4) + 2 W = 57.2
use distributive property to remove parenthesis
2 W + 8 + 2 W = 57.2
combine like terms
4 W + 8 = 57.2
subtract 8 from both sides
4 W = 57.2 - 8 = 49.2
divide both sides by 4 to isolate W
W = 49.2 / 4 = 12.3 in
Now we use this result in the first equation we wrote, to find L
L = W + 4 = 12.3 + 4 = 16.3 in
Therefore : Length = 16.3 in and Width = 12.3 in
M= (7-1)/(2-0)=3
y=3x + c
plug in Q
1= 3 x 0 +c
=> c =-2
=> the equation represents line QR is y=3x -2
It is like when you have the problem 15*6, you don't know how to do that mentally, unless you use the take ten strategy which would turn it into (10*6) + (5*6) so, it simplifies to (60) + (30) which is 90
Point slope form, y-y1 = m(x-x1)
Here, y1 = -1, x1 = 4, m=8
so, it would be: (y+1) = 8(x-4)
Let the common difference between 2 consecutive pizzas be x.
The pizza is cut into slices of
90°, 90°-x, 90°-x-x, 90°-x-x-x, 90°-x-x-x-x, 90°-x-x-x-x-x,
that is
90°, 90°-x, 90°-2x, 90°-3x, 90°-4x, 90°-5x
the sum of these angles is 360°, so:
90°+90°-x+90°-2x+90°-3x+90°-4x+90°-5x=360°
90°*6-15x=360°
540°-360°=15x
180°=15x
x=12°
The degree measure of the fifth slice is 90°-4x=90°-4*12=90°-48=42°
Answer: 42°
