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MatroZZZ [7]
3 years ago
11

Below is a two-column proof incorrectly proving that the three angles of ?PQR sum to 180: Statements Reasons ?QRY ? ?PQRAlternat

e Interior Angles Theorem Draw line ZY parallel to segment PQ Construction m?ZRP + m?PRQ + m?QRY = m?ZRY Angle Addition Postulate ?ZRP ? ?RPQ Alternate Interior Angles Theorem m?RPQ + m?PRQ + m?PQR = m?ZRY Substitution m?ZRY = 180 Definition of a Straight Angle m?RPQ + m?PRQ + m?PQR = 180 Substitution Which statement will accurately correct the two-column proof?
A.) The measure of angle ZRY equals 180 by definition of supplementary angles.

B.) Angles QRY and PQR should be proven congruent after the construction of line ZY.

C.) The three angles of ?PQR equal 180 according to the Transitive Property of Equality.

D.) Line ZY should be drawn parallel to segment QR.
Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

The correct answer would be b, angles QRY and PQR should be proven congruent after the construction

Step-by-step explanation:

I took the test and got it right by choosing b

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What is the selling price per widget as a function of the
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Step-by-step explanation:

<em>The value of the function at 870, the local maximum, is </em>

<em>= -0.02(870)2 + 34.80(870) - 4700 </em>

<em>= -0.02(756900) + 30276 - 4700 </em>

<em>=  -15138 + 25576 </em>

<em>= 10438 </em>

<em>  </em>

<em>So the vertex is (870, 10438) </em>

<em>  </em>

<em>The cost t the company to produce 870 widgets is  </em>

<em>C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224 </em>

<em>  </em>

<em>So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price. </em>

<em>(10438 + 9224)/870 = 19662/870 = $22.60 </em>

<em>  </em>

<em>P(x) = 7700 </em>

<em>- 0.02x2 + 34.80x - 4700 = 7700 </em>

<em>-0.02x2 + 34.80x -12400 = 0 </em>

<em>  </em>

<em>x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02) </em>

<em>x = [-34.80 ± √(1211.04 - 992)]/(-0.04) </em>

<em>x = (-34.80 ± √219.04)/(-0.04) </em>

<em>x = (-34.80 ± 14.8)/(-0.04) </em>

<em>x = 870 ± 370 </em>

<em>so, $7700 in profits will be earned at either 500 widgets or </em><em>1240 widgets</em>

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