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NARA [144]
1 year ago
10

A diagonal line labelled CD intersects a horizontal line labelled AB at point E forming an angle AEC. 

Mathematics
1 answer:
yan [13]1 year ago
8 0

Answer: point E

Step-by-step explanation:

We know it is point E for 2 reasons.

(1) The problem actually tells us that the 2 lines intersect at point E. The vertex of an angle is always the intersection of two different lines (or parts of lines) unless it is a straight (180 degrees) angle.

We know this is not a straight angle because we have a diagonal line intersecting a horizontal line.

(2)  The name of the angle is given as 'angle AEC'. The middle letter of an angle name is always the vertex point of the angle.

I hope this helps.

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<em><u>Option E</u></em>

<em><u>The expression show how much pizza Marcus ate in total is:</u></em>

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

<em><u>Solution:</u></em>

Given that,

Marcus ate half of a pizza on Monday night

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Therefore,

Monday\ night = \frac{1}{2}\\

Remaining is given as:

Remaining = 1 - \frac{1}{2} = \frac{1}{2}

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Therefore,

Tuesday = \frac{1}{3} \times \frac{1}{2}

<em><u>Thus expressions show how much pizza Marcus ate in total is:</u></em>

Total = monday night + tuesday

Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}

Thus Option E is correct

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