We can check this by seeing if Pythagorean's theorem applies. The longest side is the hypotenuse, so let's see if this is true:
This is, indeed correct, thus, this
<em>is </em><em>
a right triangle.</em>
Reorder the terms
112 + 3x = 100 + 5x
112 + 3x + (-5x) = 100 + 5x + (-5x)
Combine the like terms
5x + (-5x) = 0
112 + (-2x) = 100 + 0
112 + (-2x) = 100
112 + (-112) + (-2x) = 100 + (-112)
Combine like terms again
112 + (-112) =0
0 + (-2x) = 100 + (-112)
100 + (-112) = (-112) = (-12)
-2x = -12
-12 / -2 = 6
x = 6 <span>✓</span>
Check your work
3 * 6 + 112 = 130
5 * 6 + 110 = 130
130 = 130 ✓
Solve the equation.
m+34=m−6
Enter the correct answer in the box.
Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
- Segment AB: 10 cm
- Midpoint of AB: 10/2 = 5 cm
Next let's find the midpoint of BC.
- Segment BC: 5.2 cm
- Midpoint of BC: 5.2/2 = 2.6 cm
In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
Therefore, the difference between the midpoints of AB and BC is 2.4 cm.
9h + 15 > 55
- 15 - 15
9h > 40
h > 40/9
h > 4.44444.
any number greater than 4.44444
