Answer:
m<A = 72 degrees
m<B = 108 degrees
Step-by-step explanation:
For the parallelogram ABCD
The sum of the opposite angle will be 180 degrees
Hence <A + <B = 180 and m<A = m<C
5y - 3 = 3y + 27
5y - 3y = 27 + 3
2y = 30
y = 30/2
y = 15
Get m<A
m<A = 5y - 3
m<A = 5(15)-3
m<A = 75 - 3
m<A = 72 degrees
Get m<B
From the equation above;
m<B = 180 - m<A
m<B = 180 - 72
m<B = 108degrees
Slope intercept form:
(y2-y1)/(x2-x1)
(-1-(-1)/(6-5)=
0/1=
0
Slope is zero
So, since y is always -1 and the slope is zero, the equation will e
y= -1
Answer:
Width = 5 inches
Length = 9 inches
Step-by-step explanation:
The paper;
Length = (x + 4) inches
Width = x inches
The area is close as possible to 50 square inches.
Since this paper is rectangular in shape; the area of a rectangle is given by:
Area = Length × Width
∴ (x + 4) * x = 50 square inches
x² + 4x = 50
Let the area be equal to 45 square inches;
Applying the quadratic formula, x = 5 or -9
But since we are dealing with length measurements, the value of x = 5 inches.
So the width = 5 inches and;
length = 5 + 4 = 9 inches.
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