Mathematics: 3/4x + ax=10 in the equation above, a is a constant. if x=24 is the solution to the equation, what is the value of a

3/4x + ax=10 in the equation above, a is a constant.

ReaFam

06.10.2021

$\\ \sf\longmapsto \dfrac{3}{4}x+ax=10$

$\\ \sf\longmapsto \dfrac{3}{4}(24)+24a=10$

$\\ \sf\longmapsto 3(6)+24a=10$

$\\ \sf\longmapsto 18+24a=10$

$\\ \sf\longmapsto 9+12a=5$

$\\ \sf\longmapsto 12a=5-9=-4$

$\\ \sf\longmapsto 3a=-1$

$\\ \sf\longmapsto a=\dfrac{-1}{3}$

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kealalac1

20.09.2020

$k = \frac{1}{5}$

Step-by-step explanation:

Given

The attached triangles

Required

The scale factor

From the attachment, we have:

TU = 4

QR = 20

So, the scale factor from PQR to STU is:

$k = \frac{TU}{QR}$

$k = \frac{4}{20}$

$k = \frac{1}{5}$

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