Your question is incomplete, here is the complete form.
Points J, K and L are collinear with J between L and K. If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8, solve for x:
Answer:
The value of x is -6 ⇒ B
Step-by-step explanation:
∵ J, K, and L are collinear
→ That means they form a straight segment
∵ J is between K and L
→ That means J divides LK into two segments KJ and LJ
∴ LK = KJ + LJ
∵ LK = 9x + 7
∵ KJ = 2x - 3
∵ LJ = 4x - 8
→ Substitute them in the equation above
∴ 9x + 7 = (2x - 3) + (4x - 8)
→ Add the like terms in the right side
∵ 9x + 7 = (2x + 4x) + (-3 - 8)
∴ 9x + 7 = 6x + -11
∴ 9x + 7 = 6x - 11
→ Subtract 7 from both sides
∵ 9x + 7 - 7 = 6x - 11 - 7
∴ 9x = 6x - 18
→ Subtract 6x from both sides
∵ 9x - 6x = 6x - 6x - 18
∴ 3x = -18
→ Divide both sides by 3
∵ 
∴ x = -6
∴ The value of x is -6
Answer:
Here are the steps to find the volume.
Step-by-step explanation:
- Volume = length x width x height.
- You only need to know one side to figure out the volume of a cube.
- The units of measure for volume are cubic units.
- Volume is in three-dimensions.
- You can multiply the sides in any order.
- Which side you call length, width, or height doesn't matter.
Answer:
x = 5
Step-by-step explanation:
x + 3 = 8
x = 8 - 3
x = 5
Answer:
14.4 ft
Step-by-step explanation:
The triangles formed by both ladders are similar to each other. Therefore, each corresponding sides will be proportional.
Thus, x + 8 would represent how far up the 10-foot ladder reaches the wall.
Therefore:
18/10 = (x + 8)/8
9/5 = (x + 8)/8
Cross multiply
9*8 = 5(x + 8)
72 = 5x + 40
72 - 40 = 5x
32 = 5x
Divide both sides by 5
32/5 = x
x = 6.4
The 10-foot ladder would be, 6.4 + 8 = 14.4 ft far up the wall.
Answer:
21 or 23
Step-by-step explanation:
Cuz 22 is in the middle of both.
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