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solmaris [256]
3 years ago
6

Yukio says the scale from DEF to ABC is 3:1. Is Yukio Correct? Explain

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
6 0

Answer: Yes, Yukio is correct.

Step-by-step explanation:

Assuming that Triangle DEF and ABC have the same angles (they do because they are right-angled), we can take the length from the larger triangle (DEF) and divide it by the length of the smaller triangle (ABC).

Length of DEF = 6cm

Length of ABC = 2cm

= 6/2

= 3

Proves that scale of DEF to ABC is 3:1

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The 3 is distributed to the a+b inside the brackets........
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Airida [17]

Group up the like terms and combine them

2x^2 and -7x^2 add up to -5x^2

6x and 2x add up to 8x

1 and -3 add up to -2

We end up with -5x^2 + 8x - 2

<h3>Answer: Choice B</h3>
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pentagon [3]

Answer:

18) 6x^2-7x-5

19) 20x^2+17x-63

20) 18x^2-20x+2

21) 5x^2+42x+16

Step-by-step explanation:

Perimeter=length×breadth

18) (3x-5)(2x+1)

=6x^2+3x-10x-5

=6x^2-7x-5

19) (4x+9)(5x-7)

=20x^2-28x+45x-63

=20x^2+17x-63

20) (18x-2)(x-1)

=18x^2-18x-2x+2

=18x^2-20x+2

21) (5x+2)(x+8)

=5x^2+40x+2x+16

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6 0
3 years ago
A jar contains 4 red marbles, numbered 1 to 4, and 11 blue marbles numbered 1 to 11. A marble is chosen at random. If you're tol
svlad2 [7]

Answer:

25%

Step-by-step explanation:

So there are four marbles that are red.

It doesnt matter if we have a probability of picking blue because the question says you are picking red.

There are four possible outcomes and one favorable outcome so it is 1/4 of 25/100 or 25%

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8 0
3 years ago
A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points and some are worth
FrozenT [24]

Answer:

65 two-point questions, and 5 four-point questions.

Emma answered 2 four-point questions.

Step-by-step explanation:

1. Assigning variables and writing equations

We will set the number of 2 point questions as "x" and number of 4 point questions as "y"

We know that:

x+y=70 (number of 2 point questions+number of 4 point questions=total number of questions)

2x+4y=150 (number of points that a two point question is worth*number of two point questions+number of points that a four point question is worth*number of four point questions=total points on test)

2. Combining equations

x+y=70, 2x+4y=150

We will solve one of these equations.

x+y=70

x=70-y

Next, we will substitute the other equation with this solution.

2*(70-y)+4y=150

140-2y+4y=150

2y=10

y=5

Use this solution to find x.

x+y=70

x+5=70

x=65

<em>We found that there are 65 two-point questions, and 5 four-point questions. </em>

3. Finding Emma's test results

In this case, we know how many two-point questions she answered. So, we will only be using one variable in this equation, which is y.

46*2+4y=100

92+4y=100

4y=8

y=2

<em>So, she answered 2 questions correctly. </em>

4 0
3 years ago
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