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)
Answer: 100
Step-by-step explanation: 10%
First differences are -9, +18, -8, +16, suggesting that the next ones will be -7, +14.
Hence, the next two terms might be expected to be 13, 27.
Answer:
Option 4: 12.7
Step-by-step explanation:
You can look at the diagram as two 45º45º90º triangles.
By the properties of a 45º45º90º triangle:
OW=WL=a
OL=a√2
a√2 = 18
a=18/√2a≈12.728