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Ipatiy [6.2K]
3 years ago
6

Sarah and Jenna are paid by the hour at their jobs. Their earnings, in dollars, for different numbers of hours worked are shown

in the graph and in the table below. Which statement about the earnings, in dollars, is true?

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

1

Step-by-step explanation:

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Solve x2 + 2x = 4 for x by completing the square. x equals plus or minus square root of 5 plus 1 x equals plus or minus square r
steposvetlana [31]

Answer:

x equals plus or minus square root of 5 minus 1

Step-by-step explanation:

we have

x^{2} +2x=4

Divide by 2 the coefficient of the x-term

2/2=1

squared the number

1^2=1

Adds both sides

x^{2} +2x+1=4+1

x^{2} +2x+1=5

Rewrite as perfect squares

(x+1)^{2}=5

take the square root both sides

x+1=(+/-)\sqrt{5}

x=(+/-)\sqrt{5}-1

therefore

x equals plus or minus square root of 5 minus 1

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Help me please and thanks!!
Yuki888 [10]

Answer:

Step-by-step explanation:

11 t= -5   17 r = 27

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3 years ago
The triangles are similar
hoa [83]

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

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In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

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In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



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enot [183]
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Answer:

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Step-by-step explanation:

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