AB = x + 15 DC = 4x AD = x + 10 BC = ? Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram by finding the lengths of the opposite side pairs. What is the length of BC?
1 answer:
Answer:
Step-by-step explanation:
we know that
In a parallelogram opposite sides are congruent
In this problem
we have that
AB and DC are opposite sides
AD and BC are opposite sides
so
AB=DC
AD=BC
step 1
Find the value of x
AB=DC
substitute the given values
solve for x
step 2
Find the length of AD
we have that
substitute the value of x
step 3
Find the length of BC
Remember that
AD=BC ----> by opposite sides
therefore
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Answer:
t = -1, 2
Step-by-step explanation:
Step 1: Define
h(t) = -5t² + 5t + 10
Step 2: Factor
h(t) = -5(t² - t - 2)
h(t) = -5(t - 2)(t + 1)
Step 3: Find roots
0 = -5(t - 2)(t + 1)
0 = (t - 2)(t + 1)
t - 2 = 0
t = 2
t + 1 = 0
t = -1
A^2+b^2=c^2 24^2=12^2+x^2 sqrt(576-144)=x sqrt(432)=x 12sqrt(3)=x the answer is c
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The answer is D
Steps
Take the root of both sides and solve