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Effectus [21]
2 years ago
14

Which statements describe a parallelogram that must be a rectangle? Select each correct answer. parallelogram with opposite side

s congruent parallelogram with a right angle parallelogram with congruent diagonals parallelogram with perpendicular diagonals parallelogram with a pair of congruent consecutive sides
Mathematics
1 answer:
Delicious77 [7]2 years ago
5 0

The following statements are true for a parallelogram that must be a rectangle.

parallelogram with a right angle

parallelogram with congruent diagonals

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.

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To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies dir
Delvig [45]

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6

8 0
3 years ago
In the geometric progression 1, 2, 4… what term is 512?
Levart [38]

The next term is double the previous term, so that the n-th term is given recursively by

\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}

This rule tells us that

a_2=2a_1

a_3=2a_2=2^2a_1

a_4=2a_3=2^3a_1

and so on, with the explicit rule

a_n=2^{n-1}a_1=2^{n-1}

for n\ge1.

If 512 is the k-th term in the sequence, then

512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10

8 0
3 years ago
 In a​ company, 80​% of the workers are women. If 480 men work for the​ company, how many workers are there in​ all? Use pencil
nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be x.

According to question:

20\%\ of \ x=480

⇒\frac{20}{100} \times x=480

⇒0.20\times x=480

⇒0.20x=480

Dividing both sides by 0.20 we get:

⇒x=2400.

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be  x.

According to question:

x-80\%\ of\ x=480

⇒x-\frac{80}{100}\times x=480

<em>On solving:</em>

⇒x-0.80x=480

⇒0.20x=480

<em>Dividing both sides by 0.20 we get:</em>

⇒x=2400.

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

7 0
3 years ago
The option you chose for railings comes in packages that cover 5 feet and cost $29.97 each. What is the total cost of the basebo
Leona [35]

Answer:

149.85

Step-by-step explanation: brainliest pls

6 0
3 years ago
How to find the perimeter of shapes
Morgarella [4.7K]
You add the legnths of the sides together exg
if you have rectangle with width=2 legnth=3
permiter=w+w+l+l=2+2+3+3=10
5 0
3 years ago
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