Question
In rectangle KLMN, KM = 6x + 16, and LN = 49. Find the value of x.
Rectangle K L M N is shown. The upper left vertex is K; the upper right vertex is L; the lower right vertex is M; the lower left vertex is N. The diagonal between K and M is shown. The diagonal between L and N is shown.
(1 point)
Responses
13.7
13.7
10.1
10.1
49.0
49.0
5.5
5.5
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Rectangle K L M N is shown. The upper left vertex is K; the upper right vertex is L; the lower right vertex is M; the lower left vertex is N. The diagonal between K and M is shown. The diagonal between L and N is shown.
(1 point)
Responses
13.7
13.7
10.1
10.1
49.0
49.0
5.5
5.5
Skip to navigation
Answers
Answered by
GPT 3.5
To find the value of x, we can use the fact that in a rectangle, opposite sides are congruent. Therefore, KM must be equal to LN.
Given: KM = 6x + 16
Given: LN = 49
Since KM = LN, we can set up the following equation:
6x + 16 = 49
Subtract 16 from both sides:
6x = 33
Divide both sides by 6:
x = 33/6
Simplifying the fraction, we get:
x = 5.5
Therefore, the value of x is 5.5.
Given: KM = 6x + 16
Given: LN = 49
Since KM = LN, we can set up the following equation:
6x + 16 = 49
Subtract 16 from both sides:
6x = 33
Divide both sides by 6:
x = 33/6
Simplifying the fraction, we get:
x = 5.5
Therefore, the value of x is 5.5.