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Arte-miy333 [17]
3 years ago
9

To sell paintings, Faith rents a stall at First Monday for $450. She

Mathematics
1 answer:
aalyn [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

when she rents the stall then she is at a deficit of $450, when she then buys materials, she loses another $40. this means she starts out 490 in the whole and that 490 needs to be less then what she sells in order to make a profit. if it helps, she actually needs to sell 4 paintings. Hope i helped!!!!!!

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T he equation for a parabola with directrix y = –p and focus (0, p) is:
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Focus (0,p) so focus lies on y axis

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So Directex crosses the x axis .

Hence line of symmetry lies is the y-axis.

The graph is attached below.


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Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
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Angles formed by the segment \overline{XZ} in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

  • The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment \overline{XZ} is perpendicular to segment \overline{WY}

∠WZX and ∠XZY are right angles by definition of \overline{XZ}  perpendicular to \overline{WY}

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}

\displaystyle \mathbf{ \frac{XZ}{ZY}}  = \frac{12}{9}  = \frac{4}{3}

Therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9}, which gives, \displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

  • \displaystyle \frac{16}{12} = \frac{12}{9} which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

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