C) (ii)
CDEF is a quadrilateral,
CD = a. DE = b and FC = a - b
Mis the midpoint of DE.
X is the point on FM such that FX : XM = n : 1
CXE is a straight line.
b) Express CE in terms of a and/or b.
Give your answer in its simplest form.
D
M
F
'E
ct can be written in the form pa + gb
where p and g are fractions in terms of n
c) () What is the value of p?
(ii) What is the value of q?
(1)
a) Express FE in terms of a and/or b.
Give your answer in its simplest form.
d) Work out the value of n

5050 i think

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25