MATHEMATICS HIGH SCHOOL

What is the most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8),and D(8, 5)?
square
rhombus
kite
Parallelogram

Answers

Answer 1
Answer:

The most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8) is a kite.

Option C is the correct answer.

What is a kite?

A kite is a quadrilateral where the adjacentsides are equal which means there are two pairs of equal sides.

We have,

Quadrilateral ABCD:

A = (4, 4)

B = (5, 8)

C = (8, 8)

D = (8, 5)

Now,

A__________B

|                      |

|                      |
|                      |

D_________ C

We see the distance between the two points.

AB = √(8 - 4)² + (5 - 4)² = √(4² + 1) = √17

AD = √(5 - 4)² + (8 - 4)² = √(1² + 4²) = √17

AB = AD

BC = √(8 - 8)² + (8 - 5)² = √9 = 3

CD = √(5 - 8)² + (8 - 8)² = √9 = 3

BC = CD

AB and AC are adjacent sides.

CD and DB are adjacent sides.

So,

The quadrilateral ABCD is a kite.

Thus,

The quadrilateral ABCD is a kite.

Learn more about kite here:

brainly.com/question/17306509

#SPJ1

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Isabel wants a coat that costs $60. She has saved $42. What fraction of the amount she needs has she saved ?

Answers

Simple.....

you have this fraction...

(42)/(60)

simplify...

42/6=7
and
60/7=10

Thus...(7)/(10)

Thus, she has saved (7)/(10) of the money.

Kamal bought 7 packs of paper clips for a project. Then he bought 8 more packs. There are 25 paper clips in each pack. How many paper clips did he buy?

Answers

To figure how many paper clips he bought, we have to multiply the total number of packs by the number of paper clips in each pack

Total number of packs = 7+8=15
Paper clips in each pack = 25

Now multiply them
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ANSWER:
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Write an expression to match the words " three times the sum of 8 and 4".

Answers

Answer: "Three times the sum of 8 and 4":3* (8+4)

Explanation:

In the question we have asked that what will be the mathematical expression for the " three times the sum of 8 and 4".

We have asked with 'Three times the sum of 8 and 4' which means that adding the sum of number '8' and number '4' by three times.

We can write 'Three times the sum' mathematically as '3 * (\text{sum of numbers})'.

We can write 'sum of 8 and 4' mathematically as '8+4

So the final expression comes out to be: 3*(8+4)
3(8+4) is your expression

Manuel created a factor tree and wrote the prime factorization of 60 shown below.60
^
4 15
^
3 5
What is Manuel’s error?

Answers

"Manuel" here put the arrow in the wrong place. Should be under 15, not 4. PLUS, 4 is not prime, cuz 2 goes into it...

Hello there! Your answer is option B). he did not find the prime factors of 4.

That's all! :)

Add.
5x^2- 5x+1
2x^2+9x-6

Answers

Answer: C. 7x^2+4x-5

Step-by-step explanation:

Add as you would normally. Exponents can look scary but don’t mind them. First add 5x^2 & 2x^2 to get 7x^2. Then do -5x + 9x. An easier way of doing that would be 9x-5x to get 4x. Lastly do 1 -6 to get 5.

4|x+5|=20
Thanks for the help

Answers

4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like: |x + 5| = 5
Second, simplify (20)/(4) to 5. / Your problem should look like: |x + 5| = 5
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. / 
Cancel 5 on both sides. / x = 0
Fifth, solve -(x + 5) = 5 / 
Simplify brackets / -x - 5 = 5
Add 5 to both sides / -x = 5 + 5
Add 5 + 5 / -x = 10
Multiply both sides by -1 / x = -10
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: x = -10, 0

Answer: x = -10, 0
4Ix+5I=20
4(-(x+5))=20
4(-x-5)=20  distributhing 4 through parantheses
-4x-4*5=20
-4x-20=20
-4x=20+20
-4x=40 divide by -4 
x= (40)/(-4) simplify
x=-10
The answer is : - 10
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