Select the best answer from the choices provided

t
f

T

Step-by-step explanation:

When it comes to ordered pairs in inequalities, they are represented with the (x,y) values. So the ordered pair (3,8) can be substituted in the inequality .

In this inequality we have the symbols for an absolute value of a number. The absolute value of any integer will always be a positive integer as it is just the number of spaces from the origin (0,0).

So we can simply substitute the values of x and y like so:

.

.

.

.

.

This leaves us with 8<12 for the inequality making the statement true.

Yes, the answer is true.

Step-by-step explanation:

We can solve the inequality by putting x=3 and y=8 in the given inequality. This is because ordered paired inequalities are denoted by (x,y). The given inequality possess the symbols for an absolute value of a number. On a number line the absolute value is the distance between the number and zero.

So, now solving the inequality, we have:

y<|x+2|+7

8<|3+2|+7

8<|5|+7

8<5+7

8<12

Hence, the statement is true - the ordered pair (3,8) is a solution to y<|x+2|+7

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,