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hoa [83]
4 years ago
6

If two opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram true and false

Mathematics
2 answers:
Stella [2.4K]4 years ago
4 0
I believe that is true.
True [87]4 years ago
3 0

Answer:

TRUE

Step-by-step explanation:

The statement is true. A parallelogram is an example of a quadrilateral becomes it has four sides. The two adjacent sides of a parallelogram are known to be parallel to each other.

Two sides of the parallelogram are much longer that the other two adjacent sides. With this, it can be concluded that the quadrilateral described above is a parallelogram.

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m
d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, x+y=22----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

0.75x+0.40y=11.95------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

x+y=22

y=22-x----------------(3)

put y value in equation 2.

0.75x+0.4(22-x)=11.95

0.75x+0.4\times 22-0.4x=11.95

0.75x+8.8-0.4x=11.95

0.75x-0.4x=11.95-8.8

0.35x=3.15

x=\frac{3.15}{0.35}

x=9

Now substitute x value in equation 3.

y=22-9

y=13

So, he buy 13 pencils.

5 0
3 years ago
5x+5=1/2x-4 , what is x
melomori [17]

The answer is x = -2. The steps are in the image below.

Hope this helps!!!!!!!!

Please give me brainliest!!!!!!!!!!!

8 0
3 years ago
Read 2 more answers
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
Answer this asap also show work c;;
Oduvanchick [21]

Answer:

D. Expression for Nick's distance from starting point= 6+(-4)+2

Step-by-step explanation:

Finding expression for each scenario:

A.

Number of boxes processed on on Monday =6 boxes

Number of boxes processed on on Tuesday =4 boxes

Number of boxes processed on on Wednesday =2 boxes

Expression for total boxes processed on these 3 days = 6+4+2

B.

Temperature of Suma's city at noon = 6°C

Temperature of Suma's city at 8pm = 4°C

Temperature of Suma's city at noon next day =  2°F

Total temperature change = cannot be determined as all measurements are not in same units.

C

Money put on Monday = $6

Money put in Wednesday =$4

Money withdrew on Saturday = $2

Expression for balance of Re'onna's piggy bank = 6+4-2

D

Distance ran north =6 miles

Distance ran south(back) = 4 miles

Distance  ran north again = 2 miles

Expression for Nick's distance from starting point= 6+(-4)+2

5 0
3 years ago
HELPPP!! A sports team was selling popcorn. They paid $3.50 per bag and sold it for $4 per bag.What is the percent mark up? roun
Papessa [141]

Answer:

.50

Step-by-step explanation:

8 0
3 years ago
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