Q -------------R------------S
suppose this is your line,
R is the mid point
and it's given that
QR = 2x
and
RS = x+3
as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3
as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
Quotient is 
and remainder is 0.
Step-by-step explanation:
Given:
Dividend = 
Divisor = 
The long division is shown in the attachment.
Step 1: we need to divide with we first multiply with 3x we get the remainder as 
Quotient as 3x.
Step 2: Now the dividend is and divisor now we will multiply with -5 we get the remainder as 0 and Quotient as
Hence Quotient is and remainder is 0.
Answer:
Lucy sews 
dresses in 1 hour.
Step-by-step explanation:
Given:
Lucy sews 
of a dress in 
hour.
She sews at constant rate.
We need to find the number of dresses she makes in 1 hour.
In hour = dress
So in 1 hour = Number of dresses in 1 hour
By using Unitary method we get;
Number of dresses in 1 hour= 
Hence Lucy sews dresses in 1 hour.
Need to see the graph first before answering!
