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Which are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”? Check all that apply. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.” The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides. The hypothesis is: it is a trapezoid. The conclusion is: a quadrilateral having exactly one pair of parallel opposite sides. The conclusion is: it is a trapezoid.

Answers

Answer 1

Answer:

The statement is "The conclusion is: it is a trapezoid." the correct option is D.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

We are given that;

The statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid”

Now,

The following statements are true regarding the statement "A quadrilateral having exactly one pair of parallel opposite sides is a trapezoid":

It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”

The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.

The conclusion is: it is a trapezoid.

Therefore, by quadrilaterals the answer will be "The conclusion is: it is a trapezoid."

Learn more about quadrilaterals here :

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Answer 2

Answer:

Answer: A,B,E

Step-by-step explanation:

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Hellpp -4c - 9.6 +5c = 0

Answers

Answer:

c =9.6

Step-by-step explanation:

$-4c - 9.6 +5c = 0\n\n\mathrm{Group\:like\:terms}\n-4c+5c-9.6=0\n\n\mathrm{Add\:similar\:elements:}\:-4c+5c=c\nc-9.6=0\n\n\mathrm{Add\:}9.6\mathrm{\:to\:both\:sides}\nc-9.6+9.6=0+9.6\n\nSimplify\nc=9.6$

Answer:

c = 9.6

Step-by-step explanation:

Let's look at our equation; - 4c - 9.6 + 5c = 0. Now we need to collect the like terms which are -4c and 5c.

- 4c - 9.6 + 5c = 0

5c - 4c - 9.6 = 0

We get: c - 9.6 = 0

Now we will add 9.6 on each side to see what c is equal to.

c - 9.6 = 0

+9.6 +9.6

c = 9.6

Yay! We got our answer! Nice job everyone!

There will be many polynomials of degree 2 that pass through the points (1, 7) and (3, 9). The situation can be described by a system of two linear equations in three variables that has many solutions. Find an equation (involving a parameter r) that represents this family of polynomials. (Let the coefficient of the x2 term in the equation be r.)

Answers

Answer:

Any polynomial of the form f(x)=rx²+(1-4r)x+(3r+6) passes through these points.

Step-by-step explanation:

Let f(x)=rx²+bx+c be a polynomial that passes through (1,7) and (3,9). This means that f(1)=7 and f(3)=9, that is,

f(1)=r(1)²+b(1)+c=r+b+c=7, and

f(3)=r(3)²+b(3)+c=9r+3b+c=9

We have the equations r+b+c=7 and 9r+3b+c=9. Substract the second equation minus 9 times the first to obtain -6b-8c=-54, then 6b+8c=54 or equivalently b=9-4c/3.

Substract the second equation minus 3 times the first to obtain 6r-2c=-12. Then 2c=6r+12, thus c=3r+6. We have written c in terms of r. Substitute in b=9-4c/3 to obtain b=9-4(r+2)=-4r+1. The polynomial acquires the form

f(x)=rx²+(1-4r)x+(3r+6).

Refer to Problem 5.22. How many cookies in a batch of 100should the manager expect to discard if company policy requires
that all chocolate-chip cookies sold have at least four chocolate-chip
parts?

Answers

Answer:

The answer is 2.1

Step-by-step explanation:

To find:

X = number of chips per cookies

Now use the Poisson distribution.

Now, starting from 0 make add four equations like below.

P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) = 0.021

After this multiple it by 100

And you get 2.1!

Therefore, the answer is 2.1

PLSSSS!!! (10points)

Answers

Answer:

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Step-by-step explanation:

I am in geometry btw so i know this stuff and 65 plus 28 is 93 and 180 -93 is 87 so a is 87 and d is 87 too becuase of vertical angles and b is 62 becuase 90 -28 is 62 and c is 28 becuase of vertical angles your wellcome kid good luck!!!!

Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?