△rst ~ △ryx by the sss similarity theorem.

which ratio is also equal to rt/rx and rs/ry?

xy/ts

sy/ry

rx/xt

st/yx

The correct option is fourth, i.e., .

Explanation:

It is given that,

By the rule of of congruence SSS.

Since both triangles are congruent, it means the ratio of their corresponding sides are equal.

The sides of first triangle are RS, ST, RT and their corresponding sides are RY, YX and RX respectively.

So,

Where, k is any constant.

Since it is given that,

and we know that is also equal to these ratios, therefore, the fourth option is correct.

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!