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3 years ago

Bastian was able to map quadrilateral OPQROPQRO, P, Q, R onto ONMLONMLO, N, M, L using a reflection and a dilation.

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

C. There is no error. This is a correct conclusion.

Step-by-step explanation:

Reflection is a transformation in which a given image is flipped across a reflection line to create the image. Each point of the image (e.g ONML) maintained their distance from the line as the initial object (e.g OPQR). The size of the object and image are the same after a reflection.

Dilation involve resizing the dimensions of a given object to produce an image of the same shape. It requires a scale factor to either increase or decrease the dimensions of the object.

Comparing quadrilaterals OPQR and ONML. Drawing a reflection line vertically through O, it can be observed that OPQR was first reflected. Then enlarged by a scale factor to produce ONML, thus dilation.

Therefore, there is no error in Bastian's conclusion.

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The actual distance between two cities is 135 km. The map scale is 1cm: 100 km. Find the map distance.

defon

Answer:

1.35cm

Step-by-step explanation:

Given the scale of the map

1cm = 100km

For 135km;

x cm = 135 km

Divide both equations

1/x = 100/135

100x = 135

x = 135/100

x = 1.35cm

Hence the map distance will be 1.35cm

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3 years ago

Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going

Mademuasel [1]

Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

Total friends = 10

Friends from kindergarten = 4

Probability is the chance that a given event will occur. Probability of an event lies within 0 to 1

P(E) = Favourable outcomes / Total outcomes

Probability of getting 1st friend from kindergarten = 4/10

Probability of getting 2nd friend from kindergarten = 3/9

Probability of getting 3rd friend not from kindergarten = 6/8

Since all these probabilities are independent, We can use Multiplicative identity. Thus,

Required probability is 4/10 * 3/9 * 6/8

= 1/10

Thus, Probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third not is 1/10

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2 years ago

Tevon,leah,and beth are playing a computer game. Trevon scored -8. Beth's score was 3/4 of trever's score, and leah's score was

faust18 [17]

Answer:

Trevon scored -8.

Beth's score was 3/4 of trever's score = -8 *3/4 = -6

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Leah's score was -1.5

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Step-by-step explanation:

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3 years ago

Simplify by using order of operations: 4 + (9∙2) ÷ (4 - 1) - 4

Stella [2.4K]

Answer:

Step-by-step explanation:

Use PEMDAS

P = parenthesis

E = Exponents

M = Multiplication*

D = Division*

A = Addition**

S = Subtraction**

*either can come first, it just depends which comes first in the equation.

**either can come first, it just depends which comes first in the equation.

Step 1 : Write equation 4( 9 × 2 ) ÷ ( 4 -1 ) - 4

Step 2: Solve in parenthesis 4(18) ÷ (3) - 4

Step 3: Solve multiplication  72 ÷ 3 - 4

Step 4: Solve division 24 - 4

Step 5 : Solve subtraction 20

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3 years ago

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