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Alex
3 years ago
14

Hi! Can anyone with knowledge on writing Geometry proofs help me? I need assistance with answering this question with a two colu

mn chart. (statement and reason chart)

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0
We will prove first that PRQ≡PSQ
We need 3 attributes from the each triangle:
QS=QR
PR=PS
PQ=PQ

from PRQ≡PSQ => angles RPQ and SPQ are equal

Let if be O=RS∩PQ

We will prove that triangles RPO≡SPO
We need 3 attributes from the each triangle:
RP=PS
PO=PO
angles RPQ and SPQ are equal

results that angles RPO and SPO are equal(Let's note them with x)
We also know that (as angles) POS≡ROS and POR≡SOQ as opposite angles

We now have than 4x=360 wich means x=90. And we proved the desired result.
You just need to put this explanation into the table. (most if the 3 attributes for each triangle)
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"In ABC, mBAC = 5x + 8, mABC = 6x + 22, and mBCA = 3x  25.
strojnjashka [21]
<span>In angle ABC, the measure of angle BAC = 5x + 8, </span>measure of angle ABC = 6x + 22, and measure of angle BCA = 3x  25. You know that the sum of the angles of a triangle is 180 degrees. And since the angles BAC, ABC and BCA are the corners of the triangle then just add them and equate to 180 degrees.

5x + 8 + 6x + 22 + 3x + 25 = 180
14x + 55 = 180
14x = 125
x = 8.93
5 0
3 years ago
Read 2 more answers
I've been working on this for 2+ hours, so frustrated, my last tutor got it wrong too.
disa [49]

Answer:

20

Step-by-step explanation:

sin(28)       sin(x)

---------- =  -----------

   7               5

sin(28)* 5 = 7sin(x)

---------------------------

             7

sin(28) * 5

---------------- = sin(x)

       7

You have to seperate sin from (x). When you do that, it becomes inverse (sin^-1).

              sin(28) * 5

 sin^-1 (------------------)  = x

                    7

Imput that into you calculator, and you should get 19.59302173 (20 to the nearest degree)

Hope this helps.

6 0
3 years ago
A square has sides of 3x and 5x - 16. What is the value of x.
Ira Lisetskai [31]

Answer:

8

Step-by-step explanation:

as side of square are equal

3x=5x-16

3x+16=5x

16=5x-3x

16=2x

16÷2=x

8=x

therefore value of x is 8

3 0
3 years ago
Read 2 more answers
Find the principal amount invested if the amount in a monthly compounded account with a 5.1% interest rate is $9,996.32 after 54
slavikrds [6]
Again, there are 12 months in a year, so 54 months is 54/12 years

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\to &\$9996\\&#10;P=\textit{original amount deposited}\\&#10;r=rate\to 5.1\%\to \frac{5.1}{100}\to &0.051\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{monthly, thus twelve}&#10;\end{array}\to &12\\&#10;t=years\to \frac{54}{12}\to &\frac{9}{2}&#10;\end{cases}

\bf 9996=P\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}\implies \cfrac{9996}{\left(1+\frac{0.051}{12}\right)^{12\cdot \frac{9}{2}}}=P
4 0
3 years ago
You are paid $38.25 for yard work and it took your 4.5 hours. How much did you earn<br> per hour?
Murljashka [212]

Answer:

8.5

Step-by-step explanation:

38.25/4.5

7 0
3 years ago
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