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vfiekz [6]
3 years ago
11

Consider quadrilateral WXYZ.

Mathematics
2 answers:
cupoosta [38]3 years ago
8 0
The answer is D. The figure is not necessarily a parallelogram
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent

Step-by-step explanation:

<em>The parallelogram has the following properties:</em>

  • <em>Opposite sides are parallel by definition.</em>
  • <em>Opposite sides are congruent.</em>
  • <em>Opposite angles are congruent.</em>
  • <em>Consecutive angles are supplementary.</em>
  • <em>The diagonals bisect each other.</em>

A. The figure is a parallelogram because there are two pairs of congruent sides.

- no

B. The figure is a parallelogram because a diagonal is bisected.

- no

C. The figure is not necessarily a parallelogram because the diagonals are not congruent.

-no

D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.

-yes

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john invested $2000 that earn interest at 4% per annum compounded monthly. two year later the interest rate is 4.50% compounded
Ksju [112]

Answer:

\$2,369.11  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

Part 1)

t=2\ years\\ P=\$2,000\\ r=0.04\\n=12  

substitute in the formula above

A=2,000(1+\frac{0.04}{12})^{12*2}  

A=2,000(1.0033)^{24}  

A=\$2,166.29  

Part 2)

t=2\ years\\ P=\$2,166.29\\ r=0.045\\n=4  

substitute in the formula above

A=2,166.29(1+\frac{0.045}{4})^{4*2}  

A=2,166.29(1.01125)^{8}  

A=\$2,369.11  

5 0
3 years ago
Write 30/80 as a percent
Akimi4 [234]
The fraction 30/80 is equivalent to 37.5 percent or 37.5% (rounded to 1 decimal place).

To workout this, divide the numerator by the denominator, sum this value to the integer part then multiply the result by 100%, so:

30/80 in percent = 30 ÷ 80 × 100% =

0.375 × 100% =

37.5%
7 0
3 years ago
Read 2 more answers
Twenty people are going by van to a movie. Each van seats 8 people. How many vans are needed to take everyone?
GarryVolchara [31]

Answer:

3

Step-by-step explanation:

20/8=2.5

so 3 vans

4 0
4 years ago
Read 2 more answers
What is the measure of &lt;x​
BabaBlast [244]

Answer:

Y=76⁰

X=104⁰

Z=104⁰

Step-by-step explanation:

Y is equal to 76 bcz directly opposite angles are equal

x=180-76 which is 104⁰ bcz angles on a straight line add up to 180⁰

7 0
3 years ago
12y 2 y 2 +15y+26 ​ ÷ y 2 −9y 3y 3 +39y 2 ​ =start fraction, y, squared, plus, 15, y, plus, 26, divided by, 12, y, squared, end
Luda [366]

The equation is not typed properly, and it is difficult to understand. But it is clear that you are trying to determine the value of y that makes your equation undefined.

An fraction is undefined if it's denominator is zero, that is if it's of the form a/0.

The value that makes a fraction undefined is the value that makes the denominator vanish. The value that makes its denominator equal to zero.

Example:

1. (x - 3)/(y - 5) is undefined if

y - 5 = 0

Or y = 5

2. (3x² + 4xy + 6)/(x + 2)(y + 6)

If x + 2 = 0, or y + 6 = 0

That is if x = -2, or y = -6

You can use this idea to find the value of y that makes your equation undefined.

5 0
3 years ago
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