To explain: Whether all the proportions yield the same result. a.

CMIIh

CMIIh

Answered question

2021-08-15

To explain: Whether all the proportions yield the same result.
a. x2=49.
b. 2x=94.
c. x4=29
d. 92=4x
e. 49=x2

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-08-16Added 109 answers

Definition used:
"A rational equation that involves two ratios is called a proportion".
Theorem used:
Means-Extremes Theorem
"If ab=cd, where b0 and d0, then ad=bc.
Calculation:
Consider the proportion a. x2=49
Simplify the proportion x2=49 as follows.
x2=49
x9=42 [Cross multiply]
9x=8
9x9=89 [Divide both the sides with 9]
x=89
Consider the proportion b. 2x=94.
Simplify the proportion 2x=94 as follows.
2x=94
x9=42 [Cross multiply]
9x=8
9x9=89 [Divide both the sides with 9]
x=89
Consider the proportion c. x4=29
Simplify the proportion x4=29 as follows.
x4=29
x9=42 [Cross multiply]
9x=8
9x9=89 [Divide both the sides with 9]
x=89
Consider the proportion d. 92=4x
Simplify the proportion 92=4x as follows.
92=4x
x9=42 [Cross multiply]
9x=8
9x9=89 [Divide both the sides with 9]
x=89
Consider the proportion e. 49=x2.
Simplify the proportion 49=x2 as follows.
49=x2
x9=42 [Cross multiply]
9x=8
9

Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-17Added 2605 answers

Answer is given below (on video)

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