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Paha777 [63]
3 years ago
6

Based on the given information, what is the measure of the missing length, c?

Mathematics
1 answer:
salantis [7]3 years ago
4 0

Answer:

c=5\ units

Step-by-step explanation:

we know that

In the right triangle ABC of the figure

Applying the Pythagoras Theorem

AC^{2}=AB^{2}+BC^{2}

substitute the given values

13^{2}=c^{2}+12^{2}

Solve for c

169=c^{2}+144

c^{2}=169-144

c^{2}=25

c=5\ units

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Katyanochek1 [597]

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2 years ago
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The Amount of sales tax on a new car varies directly to the purchase price of the car. On a 25,000 car, sales tax is 1,750. What
Gekata [30.6K]

Answer:

50,000

Step-by-step explanation:

1st car had $1,750 tax

2nd car has $3,500 tax

1750(2) = 3500

 

so your tax doubled so the price must be doubled.

The car is $50,000

Algebraically using direct variation:

 

t = kp    where t=tax, p = purchase price, 

             and k is constant of variation

 

1750 = 25000k

k = 1750/25000

k = 0.07

 

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3500 = 0.07p

p = 3500/0.07

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6 0
2 years ago
Graph a line that contains the point -6,1 and has a slope of 5
Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

7 0
3 years ago
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Muriel says she has written a system of two linear equations that has an infinite number of solutions. One of the equations of t
JulijaS [17]
A system of equations with infinitely many solutions is a system where the two equations are identical. The lines coincide. Anything that is equal to 3y=2x-9 will work. You could try multiply the entire equation by some number, or moving terms around, or adding terms to both sides, or any combination of operations that you apply to the entire equation.

You could multiply the whole thing by 4.5 to get 13.5y=9x-40.5. If you want, you could mix things up and write it in slope-intercept form: y= \frac{2}{3}x-3. The point is, anything that is equivalent to the original equation will give infinitely many solutions x and y. You can test this by plugging in values x and y and seeing the answers! 

The attached graph shows that four different equations are really the same.

7 0
3 years ago
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Solve for d.<br> d + 67 = 87<br> р<br> Submit
Vsevolod [243]

Answer:

d=20

Step-by-step explanation:

d+67=87

Subtract 67 from both sides

d=20

Hope this is helpful

7 0
2 years ago
Read 2 more answers
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