Answer:
The area of the box is equal to 9^3 = 729 in^3
729<1000
Step-by-step explanation:
No since the volume of the box is less than the total volume of the cubes
The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.
<h3>What do you mean by inverse?</h3>
Inverse of the statement means that explain the condition in reverse way or vice versa.
Since, M is the midpoint of PQ, then PM is congruent to QM.
Proving in reverse way, let m be the point between P and Q the distance M from P is equal to the distance from M to Q. Which implies that M lies as the mid of the P and Q.
Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.
Learn more about inverse here:
brainly.com/question/5338106
#SPJ1
For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
90 Degrees.
The angle which is equal to its supplement is 90 degrees.
Answer: see below
<u>Step-by-step explanation:</u>

3(x - 12) > 5(x - 24)
3x - 36 > 5x - 120
<u> -5x </u> <u>-5x </u>
-2x - 36 > -120
<u> +36</u> <u> +36 </u>
-2x > -84
<u> ÷ -2 </u> ↓ <u> ÷ -2 </u>
x < 42
Graph: ←------------o
42
34) 6[5y - (3y - 1)] ≥ 4(3y - 7)
6[5y - 3y + 1] ≥ 4(3y - 7)
6{2y + 1] ≥ 4(3y - 7)
12y + 6 ≥ 12y - 28
<u>-12y </u> <u>-12y </u>
6 ≥ -28
TRUE so the solution is All Real Numbers
Graph: ←-----------------------→
36) BC + AC > AB
4 + 8 - AB > AB
12 - AB > AB
<u> +AB </u> <u>+AB </u>
12 > 2AB
<u> ÷2 </u> <u>÷2 </u>
6 > AB
AB < 6

Check: let y = 16
then
(16 - 16) ≥ 16 + 2
0 ≥ 18
FALSE so the claim is wrong
40) question not provided in the image so I cannot give a solution.