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Jlenok [28]
2 years ago
9

The points in the table represent a linear function. What is the equation of the line?

Mathematics
1 answer:
Damm [24]2 years ago
7 0

Answer:

7

Step-by-step explanation:

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Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
lorasvet [3.4K]

Answer:

See Below.

Step-by-step explanation:

We are given that ΔAPB and ΔAQC are equilateral triangles.

And we want to prove that PC = BQ.

Since ΔAPB and ΔAQC are equilateral triangles, this means that:

PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ

Likewise:

\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ

Since they all measure 60°.

Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:

m\angle PAC=m\angle PAB+m\angle BAC

Likewise:

m\angle QAB=m\angle QAC+m\angle BAC

Since ∠QAC ≅ ∠PAB:

m\angle PAC=m\angle QAC+m\angle BAC

And by substitution:

m\angle PAC=m\angle QAB

Thus:

\angle PAC\cong \angle QAB

Then by SAS Congruence:

\Delta PAC\cong \Delta BAQ

And by CPCTC:

PC\cong BQ

5 0
3 years ago
Read 2 more answers
Jennifer wants to rent a car for 5 days, and she’s interested in a the loss damage waiver but not the collision damage wavier.If
nadya68 [22]
T= total cost
n= number of days

Total cost equals the cost per day times the number of days plus the fee.

T= $39n + $65
substitute 5 for n
T= 39(5) + 65
T= 195 + 65
T= $260 total cost

Hope this helps! :)
5 0
3 years ago
Read 2 more answers
Find the slope between these two points: (3, -10) and (-2, -30). Show all of your work. what the answer
Harlamova29_29 [7]

\huge\text{$m=\boxed{4}$}

Hey there! Start with the slope formula, where (x_1,y_1) and (x_2,y_2) are the two known points.

\begin{aligned}m&=\dfrac{y_2-y_1}{x_2-x_1}\\&=\frac{-30-(-10)}{-2-3}\end{aligned}

Simplify.

\begin{array}{c|l}\textbf{Solving}&\textbf{Reason}\\\cline{1-2}\\m=\dfrac{-30+10}{-2-3}&x-(-y)=x+y\\\\m=\dfrac{-20}{-5}&\text{Addition and subtraction}\\\\m=\dfrac{20}{5}&\text{The negatives cancel out}\\\\m=\dfrac{4}{1}&\text{Divide the numerator and denominator by $5$}\\\\m=\boxed{4}&\dfrac{x}{1}=x\end{aligned}

3 0
3 years ago
Read 2 more answers
Solve plssszzzzagavagsg
julia-pushkina [17]

Answer:

OOO I KNO ITS 7.2 15.6 OK

Step-by-step explanation:

SO WHAT YOU DO IS 7.2 THEN ROUND SO THEN ITS 6 THEN 15.6 16

THEN YOU WILL DIVIDE. I HOPE THIS HELPS

THIS IS HOW I LEARNED BUT I COULD BE WRONG.

PLZZZ BRAINLYIST!!!!

OH AND HAVE A WONDER FULL DAY

3 0
3 years ago
How many different 10 digit phone numbers are possible if numbers can be repeated
Stella [2.4K]

It was would numbers 000-000-0000 through 999-999-9999. So that would be 9,999,999,999 + 1 = 10 billion different 10-digit phone numbers.

8 0
3 years ago
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