1. What is AD/AB in simplest form
A. 10/3
B. 1/3
C. 17/5
D. 3

What is slope of BE/ slope of AE in simplest form?
A. 4
B. 5/4
C. 25/4
D. 5

3. What is the value of x in the proportion (x-1)/5= (4x+2)/35?
A. 1/3
B. 1/5
C. 1/4
D. 3

4. What is the value of x in the proportion
X+1 = 15
————-
X+3 = 21

5. The lengths of the sides of a triangle are in the extended ratio 3 : 10 : 12. The perimeter is 400 cm. What is the length of the longest side in centimeters??
A. 16 cm
B. 192 cm
C. 160 cm
D. 48 cm

This is the concept of algebra: The answers to the questions will be as follows:
1. What is AD/AM in the simplest form:
AD/AB is the ratio of AD to AB. This will calculated as follows:
AD=9 units
AB=3 units
thus:
9/3=3
Hence, we conclude that the answer is D. 3

2] What is slope of BE/ slope of AE in simplest form:
slope=(Δy-axis)/(Δx-axis)
slope of AE
=(5-0)/(4-0)
=5/4
slope BE
slope=(5-0)/(4-3)=5/1=5
therefore the ratio of the two slope will be:
BE/AE
=5/(5/4)
=4
The answer is A.4

3. What is the value of x in the proportion (x-1)/5=(4x+2)/35?
To get the value of x we solve the above proportion:
(x-1)/5=(4x+2)/35
35(x-1)=5(4x+2)
35x-35=20x+10
putting like terms together we get:
35x-20x=10+35
15x=45
dividing both sides by 15
x=45/15
x=3
Hence the answer is B.3

4. What is the value of x in the proportion:
(x+1)/(x+3)=15/21
to get the value of x we solve the above:
first we begin by cross multiplying the proportion, this will give us:
21(x+1)=15(x+3)
21x+21=15x+45
putting like terms together we get:
21x-15x=45-21
6x=24
dividing both sides by 6 we get
x=4
∴ x=4

5. The lengths of the sides of a triangle are in extended ratio 3:10:12. The perimeter is 400 cm. What is the length of the longest side in cm.
solution:
Here we introduce the variable x such that the perimeter is:
3x+10x+12x=400
25x=400
x=400/25
x=16
The longest side will be:
12×16=192 cm

AFOKE88 AFOKE88 · Answer 2 · 2021-11-02T14:57:04+01:00

All the ratios for all the given questions have their answers as;

1) Option D; 3

2) Option A; 4

3) Option D; 3

4) X = 4

5) Option B; 192 cm

From the given graph, we have the following dimensions;

AB = 3

AC = 5

AD = 9

1) We want to find AD/AB;

From the given dimensions;

AD = 9 and AB = 3.

Thus;

AD/AB = 9/3

AD/AB =3

Option D; 3

2) We want to find the slope of BE/slope of AE;

Formula for slope between two points is;

m = (y₂ - y₁)/(x₂ - x₁)

Thus;

Slope of AE;

m_ae = (5-0)/(4-0)

m_ae =5/4

Slope of BE

m_be = (5-0)/(4-3)

m_be = 5/1

m_be = 5

Thus; slope of BE/Slope of AE is;

M_be/m_ae = 5/(⁵/₄)

M_be/m_ae = 4

Option A; 4

3) We want to find the value of x in the proportion (x - 1)/5 = (4x + 2)/35.

We will cross multiply to get;

35(x - 1) = 5(4x + 2)

35x - 35 = 20x + 10

Rearranging to get;

35x - 20x = 10 + 35

15x = 45

divide both sides by 15 to get;

15x/15 = 45/15

x = 3

Option B; 3

4) We want to find the value of x in the proportion: (x + 1)/(x + 3) = 15/21

We will cross multiply to get;

21(x + 1) = 15(x + 3)

21x + 21 = 15x + 45

Rearranging to get;

21x - 15x = 45 - 21

6x = 24

divide both sides by 6 to get;

x = 4

5) We are told that the lengths of the sides of a triangle are in extended ratio 3:10:12 and that the perimeter is 400 cm.

Thus;

This means the original lengths were all divided by a common number. Let us call this number x. Since perimeter is sum of all sides, then;

3x + 10x + 12x = 400

25x = 400

Divide both sides by 25 to get;

x = 400/25

x = 16

The longest side = 12 × 16

Longest side = 192 cm

Option B; 192 cm

Read more at; https://brainly.com/question/11912519