Answer:
x ≈ 29.4 ft
Step-by-step explanation:
The model is a right triangle.
Using the tangent ratio
tan40° = 
= 
( multiply both sides by 35 )
35 × tan40° = x , then
x ≈ 29.4 ft ( to 1 dec. place )
Answer:
P(not blue) = 3/5
Step-by-step explanation:
There are 4 blue shirts, 2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 10 shirts
How many shirts are not blue?
2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 6 shirts
P( not a blue shirt) = not a blue shirt/total
= 6/10
=3/5
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)
