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Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD

such that m∠ABD = 2x+3, m∠CBD = 4x+7, and m∠ABC = 40°. Based on this information,

would you ask for section 1 or section 2 (you have to pick one) for dessert? Provide numerical

evidence to back up your choice. Explain your reasoning and your methods.

Assume we cut the last piece of the pie into two sections 1 and 2 along ray BD such that mABD 2x3 mCBD 4x7 and mABC 40 Based on this information would you ask f class=

Respuesta :

akposevictor

Answer:

Section 2

Step-by-step explanation:

I will pick the section with the largest angle.

Let's determine the size of the angle of each section.

Given:

m∠ABD = 2x+3,

m∠CBD = 4x+7,

m∠ABC = 40°

Thus:

m<ABD + m<CBD = m<ABC (angle addition postulate)

Substitute

2x + 3 + 4x + 7 = 40

Add like terms

6x + 10 = 40

6x + 10 - 10 = 40 - 10

6x = 30

6x/6 = 30/6

x = 5

✔️m∠ABD = 2x+3

Plug in the value of x

m<ABD = 2(5) + 3 = 13° (section 1)

✔️m∠CBD = 4x+7

m∠CBD = 4(5) + 7

m∠CBD = 27° (section 2)

✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.

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