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Oksana_A [137]
3 years ago
8

Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry cod

e. How many different combinations are possible, if the digits can be repeated?
Mathematics
2 answers:
Jobisdone [24]3 years ago
8 0

Answer:

d

Step-by-step explanation:

The answer is 1,000! For each digit you get 10 options: 0,1,2,3,4,5,6,7,8,9.

So if you were to have ten options for each of the three digits you can enter, you multiply all possibilities together. So 10 times 10 is 100. 100 times ten is 1,000.

(10 x 10 x 10 = 1000)

Anni [7]3 years ago
7 0

Answer:

1000

Step-by-step explanation:

We have 10 options for the first digit (0-9, inclusive)

We have 10 options for the second digit, too, because repetition is allowed.

We have 10 options for the third!

So!

10 * 10 * 10 = 1000 :))

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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
A bakery offers a sale price of $3.40 for 4 muffins. What is the price pe dozen?​
maxonik [38]

Answer:

10.2

Step-by-step explanation:

3.40 * 3 = 10.2

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2 years ago
I WILL MARK CROWN JUST NEED HELP ON THIS MAKE SURE RIGHT ANSWER
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<em><u>hope</u></em><em><u> </u></em><em><u>this</u></em><em><u> </u></em><em><u>will</u></em><em><u> </u></em><em><u>help</u></em><em><u> </u></em><em><u>u</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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3 years ago
1/2(4x−5)+52=10
Sav [38]
In the first one the options they give you are wrong, in fact you can prove it yourself, none of the options will give you as a result 10
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greetings!

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3 years ago
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DENIUS [597]

Answer:

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Step-by-step explanation:

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