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Oksana_A [137]
3 years ago
11

Please help find the value of x

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0

Answer:

x = 4

Step-by-step explanation:

Since DE is parallel to AC and it intersects the 2 sides, then

It divides AB and BC proportionally, that is

\frac{x+2}{x} = \frac{3}{2} ( cross- multiply )

3x = 2(x + 2)\

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

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A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in squ
storchak [24]

Answer: G

Step-by-step explanation:

It said it was correct when I turned it in

3 0
3 years ago
Read 2 more answers
Which statement is true about the factorization of 30x2+40xy+51y2
icang [17]
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?

A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.

we know that

case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right 
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1

therefore

the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>



</span>
8 0
3 years ago
If it took 28 minutes to run 4 miles, then at that rate, how long would it take to run 20 miles?
SSSSS [86.1K]

Answer:

140 minutes

Step-by-step explanation:

After 28 mins you've gone 4 miles, assuming this rate is constant and you dont slow down or speed up, in order to get to 20 miles you will have run 5x as much (20/4 = 5), thus 5x the amount of time (28x5).

20/4 = 5

5x28 = 140

8 0
3 years ago
Read 2 more answers
What equals 1050 in multiplication?
kakasveta [241]
There is multiple possibilities:

<span>1050 equals 1 times 1050

1050 equals 2 times 525

1050 equals 3 times 350

1050 equals 5 times 210

1050 equals 6 times 175

1050 equals 7 times 150

1050 equals 10 times 105

1050 equals 14 times 75

1050 equals 15 times 70

1050 equals 21 times 50

1050 equals 25 times 42

1050 equals 30 times 35

1050 equals 35 times 30

1050 equals 42 times 25

1050 equals 50 times 21

1050 equals 70 times 15

1050 equals 75 times 14

1050 equals 105 times 10

1050 equals 150 times 7

1050 equals 175 times 6

1050 equals 210 times 5

1050 equals 350 times 3

1050 equals 525 times 2

1050 equals 1050 times 1</span>
8 0
4 years ago
Read 2 more answers
What Fraction Of The Wall Did Kevin Paint?
Mila [183]

Kevin painted \frac{1}{9} of the wall.

Solution:

Fraction of the wall painted by Elena = \frac{5}{9}

Fraction of the wall painted by Matthew = \frac{3}{9}

Fraction of the wall painted by Kevin = ?

Full wall can be taken as 1.

<u>To find the wall painted by Kevin:</u>

Rest of the wall = Full wall – painted by Elena – Painted by Matthew

                          $=1-\frac{5}{9}-\frac{3}{9}

                          $=\frac{1}{1} -\frac{5}{9}-\frac{3}{9}

To make the denominator same, multiply the numerator and denominator of the first term by 9.

                          $=\frac{9}{9} -\frac{5}{9}-\frac{3}{9}

                          $=\frac{9-5-3}{9}

                          $=\frac{1}{9}

Rest of the wall = \frac{1}{9}

Hence the kevin painted \frac{1}{9} of the wall.

6 0
3 years ago
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