9514 1404 393
Answer:
a) BE = 5; DE = 6; EF = 4
b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or <em>b = e = f = i</em>
Step-by-step explanation:
Each short segment is the same length as the marked one it is parallel to.
E is the midpoint of BC, so BE = EC = 5.
ADEF is a parallelogram, so DE = A.F = 6.
D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...
EF = AD = 4
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As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. <em>b = e = f = i</em>
Solve for y in 3x+7=y
y=7−3x
Substitute y=7−3x
y=7−3x into 8x−3y=30
8x−3y=30.
17x−21=30
Solve for x
x in 17x−21=30
17x−21=30.
X=3
Substitute x=3 into y=7−3x
y=-2
Therefore,
x=3
y=−2
Real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams
The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.
Answer:
Step-by-step explanation:
The formula for volume of a cylinder is
V = πr²h where r is the radius and h is the height.
We are given r = 5 and h = 2.5, plug those values in and simplify...
V = π(5²)(2.5)
V = π(25)(2.5)
V = 62.5π
I think it is 35. i hope i have helped you