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wariber [46]
3 years ago
6

What is the inverse of the following statement? If it is night, the street lights will come on. Select the best answer from the

choices provided. A. If the street lights come on, then it is night. B. The street lights will come on if it is night. C. If it is not night, then the street lights will not come on. D. If the street lights do not come on, then it is not night.
Mathematics
1 answer:
marshall27 [118]3 years ago
3 0

ANSWER

C. If it is not night, then the street lights will not come on.

EXPLANATION

The given statement is

"If it is night, then the street lights will come on"

Given the statement,

"If p, then q",

then the inverse of this statement is

"If it is not night,then the street lights will not come on"

"If not p, then not q"

The correct choice is C.

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What is the measure of EAC?
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D. 280°

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

From the diagram,

arc EAC = arc EAB + arc BC ... (1)

Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°

Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°

Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:

arc BC + 25°+55° = 180°

arc BC = 180° - 80°

arc BC = 100°

Remember from initial equation 1 that arc EAC = arc EAB + arc BC

arc EAC = 180°+100°

arc EAC = 280°

The measure of EAC is therefore 280°

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