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REY [17]
3 years ago
12

What is the meaning of the unknown factor and quotient for 24 divided by 4

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0
24 divided by 4 equal 6
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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
Complete the equation and tell which property you used (18x2)x5=18x(2x____)
tangare [24]
<span>Associative Property.
(18x2)x5=18x(2x5)
All you have to do is move the parentheses but keep the numbers the same.</span>
4 0
2 years ago
A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?
tekilochka [14]

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

4 0
3 years ago
X − 3 ≥ 6<br><br> pls help me
Fantom [35]

Answer:

x \geq 9

Step-by-step explanation: i took a quiz with this on it

6 0
3 years ago
Read 2 more answers
Evaluate p(-2)=x^3-4x-5
Pani-rosa [81]

Step-by-step explanation:

p(x) =  {x}^{3}  - 4x - 5 \\ p( - 2) =  {( - 2)}^{3}  - 4( - 2) - 5 \\  =  - 8 + 8 - 5 \\  =  - 5

3 0
3 years ago
Read 2 more answers
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