Of a triangle
a) Calculate the length of ED.
b) Calculate the length of BE.
26 cm
20 cm
BX
5 cm
18 cm

Complete question is attached.

a) ED = 6.5 cm

b) BE = 14.4 cm

Step-by-step explanation:

From the triangle, we are given the following dimensions:

AB = 20 cm

BC = 5 cm

CD = 18 cm

AE = 26 cm

We are asked to find length of sides ED and BE.

a) Find length of ED.

From the triangle Let's use the equation:

Cross multiplying, we have:

AB * ED = AE * BC

From this equation, let's make ED subject of the formula.

Let's substitute figures,

Therefore, length of ED is 6.5 cm.

b) To find length of BE, let's use the equation:

Cross multiplying, we have:

AB * CD = AC * BE

Let's make BE subject of the formula,

From the triangle, length AC = AB + BC.

AC = 20 + 5 = 25

Substituting figures, we have:

Therefore, length Of BE is 14.4cm

d

step-by-step explanation:

i used the pitagoras theoreme

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt