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Crazy boy [7]
3 years ago
8

Solve the problem.

Mathematics
1 answer:
Alex3 years ago
8 0

Answer:

0.081

Step-by-step explanation:

Given parameters:

Vertical drop  = 70ft

Horizontal distance  = 866ft

Unknown:

Slope of the rapids  =?

Solution:

Slope is the rise or vertical height divide by the horizonal distance.

  Slope  = \frac{vertical drop}{horizontal distance}

  Insert the parameters and solve;

  Slope  = \frac{70}{866}   = 0.081

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In the figure below, CD bisects m∠ACB, AB=BC, m∠BEC=90°, and m∠DCE=42°. Find the measure of ∠A.
vesna_86 [32]

Answer:  ∠A= 24\textdegree

Step-by-step explanation:

Since we have given that

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So,

m∠CAD=m∠ACD

In ΔDCE,

\angle DCE+\angle CED+\angle CDE=180\textdegree\\\\(\text{Sum of anlges in triangle is }180\textdegree)\\\\42\textdegree+90\textdegree+\angle CDE=180\textdegree\\\\132\textdegree+\angle CDE=180\textdegree\\\\\angle CDE=180\textdegree-132\textdegree\\\\+\angle CDE=48\textdegree

Now, in  ΔACD,

x+x=48\textdegree\\\\2x=48\textdegree\\\\\text{( Sum of interior anlges is equal to exterior angles )}\\\\x=\frac{48}{2}\\\\x=24\textdegree

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Step-by-step explanation:

The equivalent between sets is determined by the number of elements. If two sets have the same number of elements, then they are equivalent sets.

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