Answer:
You ran 13 miles.
Step-by-step explanation:
If your friend ran 8 miles, and you ran 5 more miles, add 5 miles to 8 miles.
That gives you a total of 13 miles you ran on Saturday.
Answer:
( 24 / 3 ) + x
Step-by-step explanation:
the expression would be ( 24 / 3 ) + x
Answer:
is proved for the sum of pth, qth and rth terms of an arithmetic progression are a, b,and c respectively.
Step-by-step explanation:
Given that the sum of pth, qth and rth terms of an arithmetic progression are a, b and c respectively.
First term of given arithmetic progression is A
and common difference is D
ie.,
and common difference=D
The nth term can be written as

pth term of given arithmetic progression is a

qth term of given arithmetic progression is b
and
rth term of given arithmetic progression is c

We have to prove that

Now to prove LHS=RHS
Now take LHS




![=\frac{[Aq+pqD-Dq-Ar-prD+rD]\times qr+[Ar+rqD-Dr-Ap-pqD+pD]\times pr+[Ap+prD-Dp-Aq-qrD+qD]\times pq}{pqr}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5BAq%2BpqD-Dq-Ar-prD%2BrD%5D%5Ctimes%20qr%2B%5BAr%2BrqD-Dr-Ap-pqD%2BpD%5D%5Ctimes%20pr%2B%5BAp%2BprD-Dp-Aq-qrD%2BqD%5D%5Ctimes%20pq%7D%7Bpqr%7D)




ie., 
Therefore
ie.,
Hence proved
<span>Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope formula
the shape is a parellelogram, not a trapezoid all are parellel, but how to distinguish rhombus, rectangle, and square?</span>