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Vladimir79 [104]
2 years ago
7

Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CDB 40 points

Mathematics
1 answer:
leonid [27]2 years ago
7 0

Answer:

ABD = CDB

AB is parallel to DC

Step-by-step explanation:

angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters

AB and DC are parellel because they are the same looking lines just on oppisite sides

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Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us
Serjik [45]

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The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

P(x) = 5000000- 20000x - 200000x + 2000x^2

P(x) = 5000000-220000x + 2000x^2

<u>Material 2</u>

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P(x) = 4000000-170000x+ 1000x^2

<u>Material 3</u>

P(x) = 2000000 - 5000x - 54000x - 270x^2

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Next, we test the options

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A price is greater than $150 is $151.

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P(151) = 4000000-170000 * 151+ 1000* 151^2

P(151) = 1131000

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Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using P(x) = 5000000-220000x + 2000x^2

So, we have:

P(49) = 5000000-220000 * 49 + 2000* 49^2

P(49) =-978000

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Option 3: When material 3 is used

Calculate P(45) and P(160) using P(x) = 2000000 -59000x - 270x^2

So, we have:

P(45) = 2000000 -59000 * 45 - 270 * 45^2

P(45) = -1201750

P(45) is less than 0; this represents loss

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Option 1: When material 2 is used

Calculate P(30) and P(120) using P(x) = 4000000-170000x+ 1000x^2

So, we have:

P(30) = 4000000-170000*30+ 1000*30^2

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Calculate P(40) and P(70) using P(x) = 5000000-220000x + 2000x^2

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Hence, option (5) is false

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The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

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brainly.com/question/25638609

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