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kirza4 [7]
2 years ago
8

Paola translated trapezoid ABCD four units to the right and two units up. If angle A is 57 degrees ° and angle C is 123 degrees

what is the degree measurement of angle C'?
1. 180

2. 123

3. 66

4. 57
Mathematics
2 answers:
Lilit [14]2 years ago
6 0

Answer:

2. 123°

Step-by-step explanation:

The transformations applied are

i) Horizontal shift to the right by 4 units

ii) Vertical shift upward by 2 units

We know that the translations have no effect on the angle

Therefore,

the degree measure of angle C' is 123°

Sophie [7]2 years ago
5 0

Answer:

Option 2

Step-by-step explanation:

Measurement of angles doesn't change after shapes are translated, this is one of the properties of translated angles.

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Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

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True  

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

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3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

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2 years ago
Which could be the graph of f(x) = |x - h| + k if h and k are both positive? On a coordinate plane, an absolute value graph has
Andrew [12]

Answer:

Step-by-step explanation:

f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive.  Only

"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

4 0
2 years ago
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in function notation with x
spin [16.1K]

we have

y-6x-9=0

Step 1

<u>Clear the variable y</u>

y-6x-9=0

Adds (6x+9) both sides

y-6x-9+(6x+9)=0+(6x+9)

y=(6x+9)

Step 2

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f(x)=(6x+9)

therefore

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6 0
2 years ago
Read 2 more answers
A rectangular container can hold 45 candles, while a cylindrical container holds 41 candles. Each rectangular container costs th
Delvig [45]

Answer: Rectangular container is preferred to minimize the costs and  there are 142 rectangular container is needed to pack 6400 candles.

Explanation:

Since we have given that

Number of candles in a rectangular container = 45

Number of candles in a cylindrical container = 41

Cost of each rectangular container = $15

Cost of each cylinder container = $16

That means ,

In case of rectangular container,

Cost of 45 candles = $15

Cost of 1 candle is given by

\frac{15}{45}=\frac{1}{3}=\$0.33

Similarly,

In case of cylindrical container,

Cost of 41 candles = $16

Cost of 1 candle is given by

\frac{16}{41}=\$0.39

So, if the company needs to package 6,400 candles , it should use <u>rectangular containers </u>to minimize costs.

Number of candle he need to pack = 6400

Number of rectangular container for 6400 candles is given by

\frac{6400}{45}=142.2=142\ approximately.

Hence, there are 142 rectangular container is needed to pack 6400 candles.


4 0
2 years ago
Read 2 more answers
Every day, Jorge buys a lottery ticket. Each ticket has a probability of of winning a prize. After six days, what is the probabi
Romashka [77]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Every day, Jorge buys a lottery ticket. Each ticket has a 0.16 probability of winning a prize. After six days, what is the probability that Jorge has won at least one prize? Round your answer to four decimal places.

Answer:

The probability that Jorge has won at least one prize after six days is

P(at least 1 win) = 0.6487

Step-by-step explanation:

Every day, Jorge buys a lottery ticket which has a 0.16 chance of winning a prize.

We want to find out the probability that Jorge has won at least one prize after six days.

P(at least 1 win) = 1 - P(not winning for 6 days)

We know that the probability of winning is 0.16 then the probability of not winning is

P(not winning) = 1 - 0.16 = 0.84

For 6 days,

P(not winning for 6 days) = 0.84×0.84×0.84×0.84×0.84×0.84

P(not winning for 6 days) = 0.84⁶

P(not winning for 6 days) = 0.3513

Finally,

P(at least 1 win) = 1 - P(not winning for 6 days)

P(at least 1 win) = 1 - 0.3513

P(at least 1 win) = 0.6487

6 0
2 years ago
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