The following phrases describes a numerical value. · the absolute value of 24

· the opposite of 24

Which of the following statements is TRUE about the relationship between the numerical values? (hint: find the number described in the phrases)

A. The opposite of 24 is equal to the absolute value of 24.

B. The opposite of 24 is the same distance from 0 on a number line as the absolute value of 24.

C. The absolute value of 24 is less than the opposite of 24.

D. The absolute value of 24 is farther from 0 on a number line than the opposite of 24.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have