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3 years ago

5

Hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. How many pies must you buy

to ensure each guest gets 1 slice?

2 answers:

ipn [44]3 years ago

4 0

8 peices times 5 =40

Dahasolnce [82]3 years ago

3 0

<span>38/8=4-6/8
You need at least 5 pies for the dinner party. You can eat the two leftover slices after the guests have left

</span>

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Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc $CD = 40^o$ , arc $AB = 60^o$ , and arc $BC = 160^o$ . We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.

$\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}$

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

$\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})$

$\widehat{AD}=360^{\circ}-(260^{\circ})$

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$\angle AED=\frac{260^{\circ}}{2}$

$\angle AED=130^{\circ}$

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

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