Answer:
The is the m ∠ABC = m∠DEF the measures of the angles are equal ... Find the measure of the angle and give the reason for knowing it. ... x = __111___ ... m∠ABD = 3x + 20 and m∠BDC = x + 40 ... an equation to solve for x, and then find
AB, CD,. Hope It Helps!
Answer:
1 : 2000000
Step-by-step explanation:
we have to convert 20km into cm so
20km×100000
=2000000
So ratio is 1:2000000
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Answer:
Step-by-step explanation:
ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.
Similar triangles so we can do 
.
Solve for it we get 44y = 6x
Differentiate relative to time t, we get 44y' = 6x'.
change in x (x') is equal to 5. And we get the answer y' = 
.
the ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:
-6x + y = -2
6x -18y = 54
--------------------
-17y = 52, or y = -52/17. Subst. this value of y into either equation to find the value of x.
