Answer:
Option B. 1 : 3
Step-by-step explanation:
There are two triangles shown in the picture attached ΔABC and ΔCD.
In these triangles sides AB and DE are parallel and BC is transverse line so ∠ABC = ∠EDC (corresponding angles)
Similarly AC is transverse to parallel lines AB and DE, so ∠BAC = ∠DEC (corresponding angles)
∠ACB is common in both the triangles.
Therefore ΔABC and ΔDEC are similar.
We know in similar triangles corresponding sides are in the same ratio.


Therefore ratio of y and 12 is equal to 3 : 1
Or ratio of 12 to y is 1 : 3
Option B is the answer.
Answer:
--- Length
--- Width
Step-by-step explanation:
Given
Let: 


Required
Find the dimensions of the rectangle
Area (A) is calculated as:

This gives:

Open bracket

Express as a quadratic function

Expand

Factorize:


This gives:


Width can not be negative.
So:


Recall that:



Answer:
The father is 59
Step-by-step explanation:
lets say each of the kids are twelve
30*5=150-36=114=59+55
30*5+ 150 the age of everyone in the family added together
12*3= 36 the age of all the kids
150-36=114 the age of the adults added together
we know the mother is 4 years younger than the father so to state off you can take 114 and divide it by two to get what half of it is then take take numbers that are four apart to find the ages that add up to 114.
39-A
When you multiply 8 times 2 its 16 and 40-16 is 24
40-D
less than is towards the negatives and for less than or greater than you use open circles