Will upvote Which statement is true? i think its

1 answer:

4 0

-14 + 21 = 7 and -24 + 17 = -7. Therefore, -14 + 21 ≠ -24 + 17

16 + (-6) = 16 - 6 = 10 and 24 + (-13) = 24 - 13 = 11. Therefore, 16 - (-6) is not greater than 24 + (-13).

-14 + (-10) = -14 - 10 = -24 and 2 + (-28) = 2 - 28 = -26. Therefore, -14 + (-10) > 2 + (-28)
Therefore, statement C is true.

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Step-by-step explanation:

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3 years ago

Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport

vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, $A, B$ and $C$ are the positions of airport, shopping center and factory respectively.

Given that, $AB= 3.6 miles, BC= 4.8 miles$ and $AC= 6.0 miles$

In right triangle $ABC$

$tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree$

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is $BD$ .

That means, $\triangle BCD$ is also a right triangle in which $\angle BDC=90\°$ , Hypotenuse $(BC)= 4.8$ miles and $BD$ is the opposite side in respect of $\angle DCB$ or $\angle ACB$ .