Answer: Answer is (D)
Step-by-step explanation:
I got the answer correct on Edg.
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
It would equal 0.75 and as a fraction it is 3/4
Answer:
<em>m </em>=<em> </em>1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
<em>m</em> = (2 - 0)/(0 - (-4))
Simplify:
<em>m</em> = (2)/( 0 - (-4))
<em>m</em> = (2)/(0 + 4)
<em>m</em> = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
<em>m</em> = (2/4)/(2/2) = 1/2
1/2 is your slope.
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