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Alekssandra [29.7K]
3 years ago
5

34566+986994689999999

Mathematics
1 answer:
Jlenok [28]3 years ago
4 0

Answer:

9.8699469e+14 and/or 986994690000000

Step-by-step explanation:


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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
PLEAE help with this
ratelena [41]

Answer:

x = 67°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180 for x , that is

x = 180° - (38 + 75)° = 180° - 113° = 67°

5 0
3 years ago
Find the unit rate.<br> 80 rooms on 5 floors<br> =<br> =<br> rooms per floor<br> Submit
Ganezh [65]
<h3>The formula to find unit rate is:</h3>

<em>divide the denominator with the numerator in a way that the denominator becomes 1</em>

<h2>Now,</h2>

\begin{gathered}\\ \sf\longmapsto \frac{80}{5}\end{gathered}

\begin{gathered}\\ \sf\longmapsto\cancel{\dfrac{80}{5}} \end{gathered}

\begin{gathered}\\ \sf\longmapsto 16\end{gathered}

<u>Hence, The unit rate is 16 rooms per floor.</u>

6 0
2 years ago
Read 2 more answers
What number is 35% of 22?
Naily [24]
The answer is 7.7 that is the answer

8 0
3 years ago
Read 2 more answers
Can someone please help me
Elan Coil [88]


a triangle adds to 180 degrees

we have 90 and 40 so the hypotenuse is 50 degrees
7 0
3 years ago
Read 2 more answers
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