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ella [17]
1 year ago
10

Are the two triangles congruent?

Mathematics
1 answer:
Katena32 [7]1 year ago
8 0

Answer:

yes.......................

Step-by-step explanation:

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Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme
frutty [35]
Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

<span>Length of employment (months)         Hourly wage (dollars/hour)
6 months                                                          7.55
12 months                                                        7.85
18 months                                                        8.15
24 months                                                        8.45

To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
(x_1,y_1) and (x_2,y_2)
is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6}  \\  \\ 6(y-7.55)=0.3(x-6) \\  \\ 6y-45.3=0.3x-1.8 \\  \\ 0.3x-6y=-43.5

Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
0.3x-6y=-43.5</span>
5 0
3 years ago
Write a real world situation to explain the inequality -$25 &lt; $7
Elodia [21]
Sara's bank account has a debt of $25. Sofia's bank account has a balance of $7. Who has more money in their bank account? Write an inequality explaining the answer.
8 0
3 years ago
Brian drank 2 glasses of water and a half glass of orange juice. What percentage of
Pie

15 is your percentage to the answer

8 0
2 years ago
766 miles in 16 hours is what miles per hour.
I am Lyosha [343]

Answer: 47.875

Step-by-step explanation:

Divide :)

3 0
3 years ago
Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes
valkas [14]
This is a problem of system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:

1. Alice has a total of 12 dimes and nickels.

Let the variables:

D: Dimes \\ N:Nickles

1st. Equation:

D+N=12

<span>2. She has 2 more nickels than dimes

2nd Equation:

N=D+2

Therefore our system of linear equations is:

</span>(1) \ D+N=12 \\ (2) \ N=D+2 \\ \\ Substituting \ (2) \ in \ (1): \\ D+(D+2)=12 \therefore 2D=10 \therefore D=5 \\ \\ Solving \ for \ N \ in \ (2): \\ N=5+2=7

Conclusion:

<span>Alice has 5 dimes and 7 nickels. </span>
6 0
3 years ago
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