See attached picture for answer
Find the lengths of DE and EF. Note: Segments BC and DF are parallel.
2 answers:
Answer:
Option C is the answer.
Step-by-step explanation:
In the given triangles DEF and BCE sides DE and EF are parallel and DE and FE are transverse.
Since ∠ECB = ∠EFD (corresponding angles) and ∠EBC = ∠EDF (corresponding angles) and ∠E is common in both the triangles EBC and EDF.
Therefore ΔBCE and ΔDEF are similar.
Since these triangles are similar so their corresponding sides will be in the same ratio.
3(4x+2) = 5(5x-4)
12x + 6 = 25x -20
25x - 12x = 20 + 6
13x = 26
x = 2
Side DE = 5x - 4 + 3 = 5x - 1 = 5×2 - 1 = 10 - 1 = 9 cm
and EF = 4x + 2 + 5 = 4x + 7 = 4×2 + 7 = 8 + 7 = 15 cm
Option C is the answer.
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Base of parallelogram b = 24.5 cm
Step-by-step explanation:
We are given:
Perimeter =P= 63 cm^2
Slant Height =a= 7 cm
Base of Parallelogram =b= ?
The formula used is:
where a is height and b is base
Putting values:
So, Base of parallelogram b = 24.5 cm
Keywords: Perimeter of Parallelogram
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Y=Mx +b
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.
B is 0 because that’s where the graph intercepts the y axis.
M is found by picking any two points and finding the rise and run because m is equal rise/run
Points of choice: (-2,4) and (2,-4)
=2−1/2−1 = -8/4
m is equal -2
Y= -2X
Look at the picture below to differentiate between positive and negative slopes.