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2 years ago

Assume that AABC= APQR. Which of the following congruence statements

Mathematics

1 answer:

Aliun [14]2 years ago

7 0

Answer:

Step-by-step explanation:

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Solve the following system of equations for a and for b:

viktelen [127]

Answer:

$a=3\\b=1$

Step-by-step explanation:

$9a+3b=30\\8a+4b=28$

Let's solve the second equation for a to later on replace it in the first equation.

$8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}$

Now plug this into the first equation.

$9a+3b=30\\9(\frac{28-4b}{8})+3b=30$

Distribute the 9

$(\frac{252-36b}{8}) +3b=30$

Break down the fraction.

$\frac{252}{8}-\frac{36b}{8}+3b=30$

Simplify.

$\frac{63}{2}-\frac{9}{2}b+3b=30$

Subtract $\frac{63}{2}$

$-\frac{9}{2}b+3b=30-\frac{63}{2}$

Combine like terms.

$\frac{-9+2*3}{2}b=\frac{30*2-63}{2}$

$\frac{-9+6}{2}b=\frac{60-63}{2}$

$\frac{-3}{2}b=\frac{-3}{2}$

Muliply by the reciprocal or inverted fraction next to b.

$(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})$

$b=1$

Now plug this value into any of the equations to find the value of a.

$8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3$

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3 years ago

KLMN is a parallelogram. Identify m∠N.

Aleonysh [2.5K]

80 degrees hope it helps

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2 years ago

Which term refers to a pictorial representation of given set of data involving two variables?

timofeeve [1]

C. formula

I hope this helps, thank you.

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Marat540 [252]

Answer:

equivalent = 30w 30(w) 30*w

the rest are non equivalent

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2 years ago

A student is using a spinner with four equal sections numbered 1 through 4. He also tosses a fair coin. What is the correct samp

nignag [31]

Answer:

C. {(1,H), (2,H), (3,H), (4,H), (1,T), (2,T), (3,T), (4,T)}

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