MATH SOLVE

5 months ago

Q:
# 1. What is AD/AB in simplest form A. 10/3B. 1/3C. 17/5D. 3What is slope of BE/ slope of AE in simplest form?A. 4B. 5/4C. 25/4D. 5 3. What is the value of x in the proportion (x-1)/5= (4x+2)/35?A. 1/3B. 1/5C. 1/4D. 34. What is the value of x in the proportion X+1 = 15————-X+3 = 215. 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 cmB. 192 cm C. 160 cm D. 48 cm

Accepted Solution

A:

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

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