Answers: Angle A is 36 degrees, angle C is 54 degrees
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Work Shown:
The angles A and C are complementary, meaning they add to 90 degrees.
(Angle A) + (Angle C) = 90
(2x-4) + (2x+14) = 90
(2x+2x)+(-4+14) = 90
4x+10 = 90
4x+10-10 = 90-10 .... subtract 10 from both sides
4x = 80
4x/4 = 80/4 ..... divide both sides by 4
x = 20
If x = 20, then,
angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees
angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees
Note how A+C = 36+54 = 90 which helps confirm our answers.
Answer: she had 18 nickels and 7 dimes.
Step-by-step explanation:
The worth of a dime is 10 cents. Converting to dollars, it becomes
10/100 = $0.1
The worth of a nickel is 5 cents. Converting to dollars, it becomes
5/100 = $0.05
Let x represent the number of dimes that she has in her coin purse.
Let y represent the number of nickels that she has in her coin purse.
Alison has 1.60 worth of nickels and dimes in her coin purse. This means that
0.1x + 0.05y = 1.6 - - - - - - - - - - - 1
She has 11 more nickels than dimes. It means that
y = x + 11
Substituting y = x + 11 into equation 1, it becomes
0.1x + 0.05(x + 11) = 1.6
0.1x + 0.05x + 0.55 = 1.6
0.15x = 1.05
x = 1.05/0.15
x = 7
y = x + 11 = 7 + 11
y = 18
Answer:
0.08
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Trying to get up a rank <:)
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values:
The fraction number = 8/100
step 2 Write it as a decimal
8/100 = 0.08
0.08 is the decimal representation for 8/100
Answer:
40 is 4,4,8,8,24
Step-by-step explanation:
40 in the ratio 1:1:2:2:4
X+X+2X+2X+4X=40
10X=40
X=40/10
X=4
So 40 is 4,4,8,8,24