Which comparison is TRUE?
2 answers:
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Step-by-step explanation:
On Monday maggie ran n miles.
On Tuesday, she she ran 90% of the number of miles that she ran on Monday i.e .
On Wednesday, she ran 50% of the number of miles that she ran on Tuesday i.e.
First expression : n+0.9n = 1.9 n
Second expression : n + 0.9 n + 0.45 n = 2.35 n
Hence, this is the required solution.
Answer:
The length of the line segment UV is 76 units
Step-by-step explanation:
In a triangle, the line segment joining the mid-points of two sides is parallel to the third side and equal to half its length
In Δ ONT
∵ U is the mid-point of ON
∵ V is the mid-point of TN
→ That means UV is joining the mid-points of two sides
∴ UV // OT
∴ UV = OT
∵ UV = 7x - 8
∵ OT = 12x + 8
∴ 7x - 8 = (12x + 8)
→ Multiply the bracket by
∵ (12x + 8) =
(12x) +
(8) = 6x + 4
∴ 7x - 8 = 6x + 4
→ Add 8 to both sides
∴ 7x - 8 + 8 = 6x + 4 + 8
∴ 7x = 6x + 12
→ Subtract 6x from both sides
∴ 7x - 6x = 6x - 6x + 12
∴ x = 12
→ Substitute the value of x in the expression of UV to find it
∵ UV = 7(12) - 8 = 84 - 8
∴ UV = 76
∴ The length of the line segment UV is 76 units