Which shape has only one pair of parallel sides? A. triangle B. trapezoid C. square D. parallelogram

1 answer:

7 0

A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram, but parallelograms are also trapezoids in the same way that dogs are also mammals. A parallelogram has two pairs of congruent sides.

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You want to walk from home to a clothing store that is 3/4 miles away. You stop for a rest after 1/2 miles. How much farther do

11Alexandr11 [23.1K]

Answer:

1/4

Step-by-step explanation:

1/2 = 2/4

3/4-2/4=1/4

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3 years ago

The sum of three numbers is 35. The first number is three less than the second and the third is two more than 4 times the second

saul85 [17]

Step-by-step explanation:

$x + y + z = 35 \\ x = y - 3 \\ z = 4y + 2 \\ \\ (y - 3) + y + (4y + 2) = 35 \\ 6y - 1 = 35 \\ 6y = 36 \\ y = \frac{36}{6} \\ y = 6 \\ \\ x = y - 3 \\ x = 6 - 3 \\ x = 3 \\ \\ z= 4y + 2 \\ z= (4 \times 6) + 2 \\ z = 26$

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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x

mote1985 [20]

GIVEN:

We are given the following polynomial;

$x^3+x^2+4x+4$

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

$(x^3+x^2)+(4x+4)$

We now take the common factor in each group;

$\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}$

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

$\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}$

Therefore, the factors of the other parenthesis are;