Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wednesday, and Friday, she runs
1 answer:
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Answer:
19
Step-by-step explanation:
3.920(1.018)ˣ = 5.500
- First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
- Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
- We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
- Then we can divide both sides by ln(1.108) to get:
- Then using a calculator we get x = 18.98 ≈19
Answer:
Given
Step-by-step explanation:
Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.
Comparing △RST and △VWX;
TU ~ XY (given altitudes of the triangles)
<TUS = <XYW (all right angles are congruent)
<UTS ≅ <YXW (angle property of similar triangles)
Thus;
ΔTUS ≅ ΔXYW (congruent property of similar triangles)
<UTS + <TUS + < UST = <YXW + <XTW + <XWY = (sum of angles in a triangle)
Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX
So that:
=
(corresponding side length proportion)