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Alinara [238K]
3 years ago
13

Nerissa has 5 pink bows,1 blue bow and 4 purple bows in a box. She will randomly choose 1 bow form the box.

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

she has a 4/10 chance she will pick purple bow

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Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?
skelet666 [1.2K]

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

4 0
2 years ago
What is the value of x in 8/9x = 4/3
Talja [164]
X= 3/2 you multiply the inverse (9/8) and then you probably know what to do
4 0
3 years ago
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GIVING BRAINLIEST
Arte-miy333 [17]

Answer:

i dont know

Step-by-step explanation:

8 0
2 years ago
Which data set has an outlier?
polet [3.4K]
The answer to your question is: D it has 3
3 0
3 years ago
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What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?
Stels [109]

Answer

Find out the  volume of a cylinder .

To prove

Formula

Volume\ of\ cylinder = \pi r^{2}h

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

Radius = \frac{Diameter}{2}

Radius = \frac{12}{2}

Radius = 6 in

\pi = 3.14

put all the values in the formula

Volume\ of\ cylinder = 3.14\times 6\times 6\times 7

                                          = 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

3 0
3 years ago
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