PLEASE HELP!!!! 25-30 points! : )

#1 Solve the proportion.

13-b / 6 = 2-0.5b / 4

A. 72

B. 32

C. 40

D. 64

Please exlpain your answer! :)

#2 Solve the proportion.

x-9 / 3 = 5 / 13

A. 84/5

B. 15/13

C. 132/13

D. 24/13

Please explain your answer! :)

#3 Solve the proportion.

w+14 / 4w+6 = 3/4

A. 19/4

B. 15/28

C. 2/7

D. 8/19

Please explain your answer! :)

#4 Solve the proportion.

x-8 / 5 = 2/4

A. 5/2

B. 9/2

C. 18

D. 21/2

Please explain your answer! :)

Answers

Answer 1

(13 - b) / 6 = (2 - 0.5b) / 4
cross multiply
6(2 - 0.5b) = 4(13 - b)
12 - 3b = 52 - 4b
-3b + 4b = 52 - 12
b = 40 <==
====================
(x - 9) / 3 = 5/13
cross multiply
13(x - 9) = 3 * 5
13x - 117 = 15
13x = 15 + 117
13x = 132
x = 132/13
===================
(w + 14) / (4w + 6) = 3/4
cross multiply
3(4w + 6) = 4(w + 14)
12w + 18 = 4w + 56
12w - 4w = 56 - 18
8w = 38
w = 38/8 which reduces to 19/4
=====================
(x - 8) / 5 = 2/4
cross multiply
4(x - 8) = 2 * 5
4x - 32 = 10
4x = 10 + 32
4x = 42
x = 42/4 which reduces to 21/2
===================
sorry but I am not exactly sure how to " explain " my answers

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3x + y = 7
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THEN 3x + y = 5x - 2y ... it's like you're taking out the middle man "7"

Transitive property states that if x = y and y = z then x = z.

3x + y = 7 and 7 = 5x - 2y

Using the transitive property we get,

3x + y = 5x - 2y.

What is transitive property?

It states that if x, y and z are the three quantities, and if x is related to y by a rule, and y is related to z by the same rule, then we can say x is related to z by the same rule.

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We have,

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Using transitive property we can say that,

3x + y = 5x - 2y

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Step-by-step explanation:

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There are a few steps in order to get the correct answer.

First you have to look at the facts about what we know:
- her dog is 8 times as much as her cat
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Now you need to create the equations based on what you know:
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Kerrie lost 16 pounds and weighed 204 pounds

what is m Help Please

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I don't know I forgot

I think the equation would look something like this:
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Hope this helped, have a nice day.

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12^2 +b^2 = 20^2 because of the Pythagorean theorem
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Answer:

Option B : 16

Step-by-step explanation:

Refer the attached file

Given :

In ΔABC , AB = b , BC = 12 , AC= 20

To Find : value of b i.e. Length of AB

Solution:

Since we are given a right angles triangle so we can use Pythagoras theorem i.e.

[tex](Hypotenuse)^{2} =(Perpendicular)^{2} +(Base)^{2} [/tex] ---(a)

Now in a given triangle AB is Perpendicular , BC is Base and AC is Hypotenuse.

So, putting values in (a)

[tex](AC)^{2} =(AB)^{2} +(BC)^{2} [/tex]

[tex](20)^{2} =(b)^{2} +(12)^{2} [/tex]

[tex]400 =(AB)^{2} +144 [/tex]

[tex]400-144 =(b)^{2} [/tex]

[tex]256 =(b)^{2} [/tex]

[tex]\sqrt{256} =b[/tex]

[tex]16=b[/tex]

Thus the value of b is 6

Hence Option B is correct.

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Factor the numerator and factor the denominator.

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Then you divide the numerator and the denominator by the common factor to reduce the fraction.

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