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olchik [2.2K]
3 years ago
10

Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C

. The lengths of W C and C Y are congruent. Which best explains if quadrilateral WXYZ can be a parallelogram? WXYZ is a parallelogram because diagonal XZ is bisected. WXYZ is not necessarily a parallelogram because it is unknown if CZ = CY. WXYZ is a parallelogram because ZC + CX = ZX. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.
Mathematics
2 answers:
podryga [215]3 years ago
7 0

Answer:

3 the answer is three on edgenuity

Step-by-step explanation

u    u

 w

kkurt [141]3 years ago
5 0

Answer:

A.  WXYZ is a parallelogram because diagonal XZ is bisected.

Step-by-step explanation:

A parallelogram is an example of quadrilaterals which has pairs of opposite sides parallel and equal.

In the given question;

WC ≅ CY

⇒ WY = WC + CY

Considering diagonal WY,

ΔWYZ ≅ ΔWYX (diagonal property of a parallelogram)

WY ⊥ XZ (diagonals of a parallelogram bisect each other)

Thus;

XC ≅ CZ

Therefore. WXYZ is a parallelogram.  

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A study found that 1% of Social Security recipients are too young to vote. If 800 social security recipients are randomly select
GalinKa [24]

Answer:

8, 7.92, 2.81

Step-by-step explanation:

For each Social Security recipient, there are only two possible outcomes. Either they are too young to vote, or they are not. The probability of a Social Security recipient is independent of any other Social Security recipient. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

n = 800, p = 0.01

So

Mean:

E(X) = np = 800*0.01 = 8

The variance of the binomial distribution is:

V(X) = np(1-p) = 800*0.01*0.99 = 7.92

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.01*0.99} = 2.81

Formatted answer: 8, 7.92, 2.81

6 0
4 years ago
How to solve 7(x+2y)=
Lemur [1.5K]

Answer:

7x + 14y

Step-by-step explanation:

7(x + 2y)

Multiply 7 by the values inside the parenthesis (x + 2y)

7x + 14y

Hope this helps :)

8 0
4 years ago
Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7
horsena [70]

Answer:

100 cubic inches

Step-by-step explanation:

If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.

Find how many cubic inches are left for lemonade by finding the volume

Use the volume formula, V = lwh

V = lwh

V = (5)(5)(4)

V = 100

So, there are 100 cubic inches left for lemonade

8 0
3 years ago
It is estimated that the average amount owed for student loans in 2010 was $25,250 per student. If the interest rate for student
Harman [31]
Let's fix 2010 as the present time. According to basic equations in engineering economy,

F = P (1+i)^n where F is the future worth, P is the present worth, i is the interest rate and n is the number of years. Substituting the appropriate values,

F = $25,250 (1 + 0.068)^10
F = $48,750

If the student has payed for the $25,250, then he needs to pay $48750 - $25250 = $23,500 more.

I hope I was able to help you. Thank you.
7 0
3 years ago
The graph box linear function f passes through the point (1, -9) and has a slope of 3
Marat540 [252]

9514 1404 393

Answer:

  C) 4

Step-by-step explanation:

The point-slope equation of the line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +9 = 3(x -1) . . . . . line with slope 3 through point (1, -9)

For y=0 (the 0 of the function), we have ...

  9 = 3(x -1)

  3 = x -1

  4 = x

The x-intercept is (4, 0).

3 0
3 years ago
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