1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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)
You might be interested in
Easy points. this is due tomorrow, the formula is given but im not sure how to solve. help? x
ozzi

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

  • h = height of cone = 10 cm

  • r = radius of cone/sphere = ??

  • Volume of cone = 270 pi cm³

Volume of cone is :

\qquad \sf  \dashrightarrow \:v = 270 \pi

\qquad \sf  \dashrightarrow \: \dfrac{1}{3}   \cancel\pi {r}^{2} h = 270 \cancel\pi

\qquad \sf  \dashrightarrow \:r {}^{2}  \sdot10 = 270 \times 3

\qquad \sf  \dashrightarrow \: {r}^{2}  = 810 \div 10

\qquad \sf  \dashrightarrow \: { {r}^{2} }^{}  = 81

\qquad \sf  \dashrightarrow \:r =  \sqrt{81}

\qquad \sf  \dashrightarrow \:r = 9 \:  \: cm

Now, let's calculate volume of solid sphere with same radius is ~

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4}{3}  \pi {r}^{3}

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4} {3}   \sdot\pi \sdot  {9}^{3}

\qquad \sf  \dashrightarrow \:vol =  \dfrac{4} {3}   \sdot\pi \sdot  729

\qquad \sf  \dashrightarrow \:vol =  {4} {}    \sdot243 \sdot\pi

\qquad \sf  \dashrightarrow \:vol =  97 2\pi  \:  \:  {cm}^{3}

So, volume of the solid sphere in terms of pi is :

  • 972 pi cm³

<u>note</u> : the solid figure attached below the cone is a hemisphere, so if the volume of hemisphere is asked then just dovide the result for sphere by 2. that is :

  • 972pi / 2 = 486 pi cm³
4 0
2 years ago
Place the Circle on the
lesya [120]
Y intercept: when x = 0
(0, y)
On the graph it is (0,-5)
Solution: y intercept is (0,-5)
5 0
3 years ago
Ariel is filling a giant beach ball with air. The radius of the beach ball is 30 cm. What is the volume of air that the beach ba
boyakko [2]
The answer is v=113040
5 0
3 years ago
Read 2 more answers
Round 1.49882 nearest to the nearest given place thousandths
I am Lyosha [343]
Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.
7 0
4 years ago
If A and B are independent events, then it must be true that P(A|B)=P(A)?
nataly862011 [7]

Answer:

True : If A and B are independent events, then P(A|B)=P(A) is true.

Step-by-step explanation:

If A and B are independent, P(A and B) = P(A) * P(B)

P(A|B)    conditional probability, P(A) given B has already happened

= P(A and B) / P(B)

= P(A)*P(B) / P(B)

= P(A)  

Therefore

If A and B are independent events, P(A|B)=P(A) is true.

7 0
4 years ago
Other questions:
  • . Richard gets his hair cut every 3 weeks. His hairdresser charges him $25
    12·1 answer
  • Select all that apply question! See picture
    10·1 answer
  • An analysis of over 160 empirical studies conducted by Norris and her colleagues (2006) revealed evidence of severe to very seve
    15·1 answer
  • Estimate using rate per 100. 24% of 289
    6·1 answer
  • Can you help? Pt = (pints) c= (cups)
    5·1 answer
  • What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac
    12·1 answer
  • I need help with this question
    13·1 answer
  • Find the area of the shape shown below.<br> 2<br> 6<br> 2<br> 2<br> units
    13·1 answer
  • 4=16/x<br> I really need help with this
    11·2 answers
  • Fill in the next two terms in the pattern. Enter your answers in the boxes.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!