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Advocard [28]
2 years ago
13

Fill in the blanks of the sentence.

Mathematics
1 answer:
romanna [79]2 years ago
5 0

Answer:

Step-by-step explanation:

Two angles that are vertical are <u>supplements of the same angle</u> which means the two angles are <u>congruent</u> to each other.

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Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer
Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

y=5x+4            ... (1)

y=-3x+12           .... (2)

Subtract equation (2) from equation (1) to eliminate y.

y-y=(5x+4)-(-3x+12)

0=5x+4+3x-12

On combining like terms, we get

0=(5x+3x)+(4-12)

0=8x-8

Add 8 on both sides.

0+8=8x-8+8

8=8x

Divide both sides by 8.

1=x

The value of x is 1.

Substitute x=1 in equation (1).

y=5(1)+4

y=5+4

y=9

The value of y is 9.

Therefore the solution to the system of linear equations is (1,9).

4 0
3 years ago
The cost C (in dollars) to participate in a ski club is given by the literal equation C=85x+60, where X=C/85-12/17 is the number
dybincka [34]

Given:

The cost C (in dollars) to participate in a ski club is given by,

\begin{gathered} C=85x+60 \\ (or) \\ x=\frac{C}{85}-\frac{12}{17} \end{gathered}

Where x is the number of ski trips we take.

To find:

The number of ski trips when a total cost of $315 and $485 is spent.

Explanation:

Substituting C = 315 in the given equation we get,

\begin{gathered} x=\frac{315}{85}-\frac{12}{17} \\ x=\frac{315-60}{85} \\ x=\frac{255}{85} \\ x=3\text{ ski trips} \end{gathered}

Substituting C = 485 in the given equation we get,

\begin{gathered} x=\frac{485}{85}-\frac{12}{17} \\ x=\frac{485-60}{85} \\ x=\frac{425}{85} \\ x=5\text{ ski trips} \end{gathered}

Thus,

If we spend a total cost of $315, we can take 3 ski trips.

If we spend a total cost of $485, we can take 5 ski trips.

Final answer:

• If we spend a total cost of $315, we can take 3 ski trips.

,

• If we spend a total cost of $485, we can take 5 ski trips.

8 0
1 year ago
Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi
Mnenie [13.5K]

Answer:

C.) x= -4

Step-by-step explanation:

just took the test on edg. 2020

3 0
3 years ago
Read 2 more answers
A patient ingests 5 grams of a certain drug which
IgorC [24]

Answer:

8 hours

Step-by-step explanation:

5 - 1 = 4 grams

10% of 5 = 0.5 grams per hour

4/0.5 = 8 hours

8 0
3 years ago
You use 4 gallons of water on 14 plants in your garden.
GrogVix [38]

Answer:

35 plants

Step-by-step explanation:

For this case we can make the following rule of three:

4 gallons --------------> 14 plants

x --------------------------> 35 plants

From here, we clear the value of x.

We have then:

therefore, 10 gallons are needed to irrigate 35 plants.

Answer:

it will take 10 gallons to water 35 plants

4 0
3 years ago
Read 2 more answers
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