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makvit [3.9K]
3 years ago
10

Choose all expressions that are equal to 0.75 x 0.5

Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

The last three ones equal .375 which is the product of 0.75*0.5

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Solve for x 2/3=x/4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%20%20%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B4%20%7D%2
balandron [24]
To solve this, you cross multiply, then divide. In this case, we multiply 4 and 2, then divide by 3.

4 x 2 = 8
8 / 3 = 2.66

So, x is 2.66
3 0
3 years ago
2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):
zlopas [31]
<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)

First pair of opposite sides:

<u>Slope:</u>

\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}

Second pair of opposite sides:

<u>Slope:</u>

\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\

So the diagonals measure the same, therefore this is a rectangle.

5 0
3 years ago
How would you draw this using a diagram?
ki77a [65]
Where is the diagram?
7 0
3 years ago
What is the value of 7 in 506,087
statuscvo [17]
The 7 in 506,087 is in the ones place.
7 0
3 years ago
Read 2 more answers
Plz help as quick as possible!
kompoz [17]

average =65%

average = (60+70)/(100+100)*100

= 130/200*100

= 65%

6 0
2 years ago
Read 2 more answers
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