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Nikolay [14]
4 years ago
13

Find the measure of Segment YZ if Y is the midpoint of Segment XZ and XY = 2x - 3 and YZ = 27 - 4x.

Geography
1 answer:
marishachu [46]4 years ago
5 0

Answer: x = 5

YZ = 7

Explanation:

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3 years ago
the average of two number is 55 to subtract from the greater number ratio between number become 1:2 the smaller number is
Thepotemich [5.8K]

Complete question:

The average of two number is 55. If 2 is subtracted from the greater number, the ratio between the numbers become 1:2 . The smaller number is

Answer:

The smaller number is 36

Explanation:

let the smaller number = x

let the greater number = y

\frac{x + y}{2} = 55\\\\

x + y = 110

y = 110 - x --------- equation (i)

\frac{x}{y-2} = \frac{1}{2}\\\\ y-2 = 2x\\\\y = 2x + 2 ------equation(ii)

Substitute y in equation (ii)

110 - x = 2x + 2

110 - 2 = 2x + x

108 = 3x

x = 108 / 3

x = 36

Therefore, the smaller number is 36

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Triangle DEF is congruent to D'EF' by the SSS theorem. Which single rigid transformation is required to map DEF onto D'EF'?
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SSS theorem or side-side-side triangle congruent theorem state that each side of one triangle must be congruent to the opposite side of another triangle. It means they same measurements. So, when triangle DEF is congruent to triangle D'E'F by SSS theorem, the only transformation that can be done is the measurements of one side of D'E'F is move to other sides as well as the next two sides, but it would have remained that all sides are having the same length to each side of DEF.
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