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3 years ago

Given AB intersects DE at point C. prove: DCB = ECA. What is the missing reason in step 5

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Answer: the answer is linear pair

Step-by-step explanation:

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On a map, Orlando is 187 millimeters due south of Niagara Falls, Denver is 282 millimetersfrom Orlando, and Denver is 244 millim

Agata [3.3K]

Answer:

S80.6°W

Explanation:

From the diagram:

• Niagara Falls to Denver, a = 244 millimeters

• Niagara Falls to Orlando, b = 187 millimeters

• Denver to Orlando, c = 282 millimeters

To find the bearing of Denver from Niagra falls, the first thing is to find the angle at Niagra Falls(C) using the Law of Cosines.

Angle C is opposite side c.

From the law of cosines:

$\begin{gathered} \cos C=\frac{a^2+b^2-c^2}{2ab} \\ \implies\cos C=\frac{244^2+187^2-282^2}{2\mleft(244\mright)\mleft(187\mright)} \end{gathered}$

We solve the equation for the value of angle C:

$\begin{gathered} \cos C=0.1642 \\ C=\arccos (0.1642) \\ C=80.55\degree\approx80.6\degree \end{gathered}$

Recall that Orlando is due South of Niagara Falls.

Thus, the bearing of Denver from Niagara Falls is S80.6°W.

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1 year ago

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3 years ago

The laptop is white qualitative vs quantitative

Greeley [361]

Answer:

Qualitative data

Step-by-step explanation:

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3 years ago

Write: y - 6 = -12(x+4) in slope intercept form-

Artist 52 [7]

Answer:

y= -12x - 42

Step-by-step explanation:

slope intercept form is y=mx +b

y-6 = -12(x+4) simplify

y - 6 = -12x - 48 separate y by adding 6 to both sides of the equation

y = -12x - 42

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3 years ago

Deshawn is serving ice cream with the birthday cake at his party.He has purchased 19 1/2 pints of ice cream. He will serve 3/4 o

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26 and no there will not be any left

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