Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
Answer:
Group A, because seven children have a forearm length longer than 10 inches
Step-by-step explanation:
Create the dot plots based on the given information (please see attached images).
Group A = blue dots
Group B = red dots
From inspection of the attached dot plots, we can see that Group A appears to have the longer average forearm length. This is because 7 children have a forearm length of longer than 10 inches.
To calculate the average forearm length, sum all data values and divide by the total number of data values.
![\textsf{Average of Group A}=\dfrac{ 3 \times 10 + 4 \times 11 + 3 \times 12}{10}=11](https://tex.z-dn.net/?f=%5Ctextsf%7BAverage%20of%20Group%20A%7D%3D%5Cdfrac%7B%203%20%5Ctimes%2010%20%2B%204%20%5Ctimes%2011%20%2B%203%20%5Ctimes%2012%7D%7B10%7D%3D11)
![\textsf{Average of Group B}=\dfrac{ 3 \times 9 + 5\times 10+ 2\times 11}{10}=9.9](https://tex.z-dn.net/?f=%5Ctextsf%7BAverage%20of%20Group%20B%7D%3D%5Cdfrac%7B%203%20%5Ctimes%209%20%2B%205%5Ctimes%2010%2B%202%5Ctimes%2011%7D%7B10%7D%3D9.9)
Thus proving that Group A has the longer average former length.
Answer:
3a+2b+4
Step-by-step explanation:
24ab indicates that there is 24 of unit ab which there is not. there is 4+ 3a+2b