Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
Answer:
y = -3
Step-by-step explanation:
4x – 3y = 17
x = 2
4(2) - 3y = 17
8 - 3y = 17
-3y = 9
y = -3
we are given

Firstly , we will multiply both sides by 5

now, we can simplify it


now, we can solve for n
.............Answer
Answer: £ 400,560,640
Step-by-step explanation:
Given
Delia, Edwin, and Freya share £1600 in the ratio 
Suppose, their shares are 5x,7x, and 8x such that the ratio remains the same.
The sum of their shares must be £1600

Their share is
Delia:
Edwin:
Freya:
Answer:
9
Step-by-step explanation:
What we have to note is that the slope of a line is rise/run. This means that the amount of y change in that line is 4, and the amount of x change is 3.
We can now use a proportion to find the value of w.

Cross multiply:

Hope this helped!