Find the values of x and y

Mathematics

1 answer:

vitfil [10]2 years ago

4 0

Hi there!

$\large\boxed{y = 12, x = 3}$

The two trapezoids are similar, so we can determine a common scale factor:

OL/UR = NM/TS

9/3 = 6/2

3 = 3

Trapezoid ONML is 3x larger than UTSR, so:

RS = 4, LM = y

3RS = LM

3 · 4 = y = 12.

Find x using the same method:

3UT = ON

3(2x+1) = 4x + 9

6x + 3 = 4x + 9

2x = 6

x = 3.

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X³=343-¹ find the positive value of x that makes the equation true

SVETLANKA909090 [29]

$x^3=343^{-1}\\\\x^3=(7^3)^{-1}\\\\x^3=7^{-3}\\\\x^3=\left(\frac{1}{7}\right)^3\iff\boxed{x=\frac{1}{7}}$