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Lapatulllka [165]
3 years ago
12

Will mark brainiest if correct. Need answers ASAP plz!!!!!

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0
“Angle ADC are congruent to angle BCD” and the statement is “given”
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It's 27

Step-by-step explanation:

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A standard pie is 9 inches in diameter and 1 1/4 deep. What is the area of the top of the pie round to the nearest tenth at the
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Akira is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 1 client, charging a total of $194. Today, she did
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Answer:

\boxed {\boxed {\sf Haircut: \$47 \ and \  Color: \$ 100}}

Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

  • Let h = haircut and c= color

2h+1c= 194  (Yesterday: 2 haircuts and 1 color for $194).

2h+4c= 494 (Today: 2 haircuts and 4 colors for $494).

Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

\ \ (2h+1c=194) \\-  (2h+4c=494)

\ \ 1c=194 \\- (4c=494)

-3c= -300

Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3c/-3=-300/-3 \\c= -300/-3 \\c=100

Now we have to solve for h. Plug 100 in for c in the first equation.

2h+1(100)= 194 \\2h+100=194

100 is being added, so we must subtract 100 from both sides.

2h+100=194-100 \\2h=94

h is being multiplied by 2, so we divide both sides by 2.

2h/2=94 \\h=47

A haircut costs $47 and a color costs $100.

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