Answer:
24/60 = 2/5
Step-by-step explanation:
24/60
Divide both the numerator and denominator by a common factor, 6
4/10
Divide both the numerator and denominator by a common factor, 2
2/5
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
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formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
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surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
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Combine q terms
-30 = 12q - 10
Add 10 to both sides
-20 = 12q
Simplify
Q = -5/3
Answer: angle A=40, Angle B=74, Angle C=66
Step-by-step explanation:
We all know that a triangle has 180 degrees.
3x-8+5x-6+4x+2=180
12x-12=180
12x=180+12
12x=192
x=16.
∠A=2(16)+8=40
∠B= 90-16=74
∠C = 5(16) -14= 66
Answer: D; vertical angles
Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.
Concluding, that the answer would be D; vertical angles
Hope this helps
<3
-Carrie
P.S. It would mean a lot if you marked brainliest
