Answer:
FC = 28
Step-by-step explanation:
The parallel lines creates two similar triangles:
ΔBDC similar to ΔEDF
Similar triangle means corresponding lengths are equal.
BD corresponds to ED
BC corresponds to EF
DC corresponds to DF
Now, we want to find FC, we let that length be "x",
thus we can write:
DE similar DF
DB similar DC
So,
Now, we use algebra, cross multiplication and solve for x, which is FC:
FC = 28
So this wants you to add the fractions and subtract 1/1
we know that 6/8=3/4 because 3/4 times 2/2 (or 1) os 6/8
so we need the denomenators (bottom number) to be the same
so 5/6=10/12
1/4=3/12
2/3=8/12
add them together
10+3+8=21
21/12=1 and 9/12
subtract 1 and get
9/12 left or 3/4 yard left
77% because if you add 20% to 3% you get 23% total and 100%-23%=77%.
Answer:(2,2)
Step-by-step explanation:
(3,8)
(1,-4)
8-(-4)/3-1=
12/2=
6
1+1
-4+6
(2,2)
Answer:
a = 102.05
b = 393.76
B = 93°
Step-by-step explanation:
The law of sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Since the sum of angles in a triangle is 180°, angle B must be ...
B = 180° -72° -15° = 93°
and the unknown sides must be ...
a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192
B = 93°
b = 375·sin(93°)/sin(72°) ≈ 393.75796
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The rounding requirement got cut out of your picture, so we can't help you with that.