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3 years ago

4 added to a number is the same as 2 subtracted from 3 times the

Mathematics

1 answer:

netineya [11]3 years ago

7 0

Answer:

C. 4 + x = 3x - 2, 3

Step-by-step explanation:

4 + x = 3x - 2

Step 1: Subtract 3x from both sides; 4 - 2x = -2

Step 2: Then subtract 4 from both sides, -2x = -6

Step 3: Last divide -2 on both sides; -2x/-2 = -6/2

Solution: x= 3

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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

Im not sure how to solve this please help

Effectus [21]

Look at the corresponding angle to 82, which is to the left of line b

It also measures 82 according to "corresponding angle theorem"

Then
angle x is equal to it as they are vertical pair of angle

so that, the measure of x equals 82 degree

I hope that helps

5 0

3 years ago

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

vredina [299]

Answer:

Step-by-step explanation:

I hope this is correct!

8 0

3 years ago

Can u help me please :)

GuDViN [60]

She has to go down 4, back up to 0, and then up another 4, then back to 0.I<span>f positive 1 represents the first level above ground, negative numbers are a good choice to represent levels below ground. 8 flights; starting at -4 and moving to 4.</span>

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3 years ago

Tej ran 2000 metres in 15mins. what was his average speed in km/h?

Deffense [45]

His average speed in kilometers per hour is 8

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3 years ago