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adell [148]
2 years ago
8

Find the value of x for which abcd must be a parallelogram 3x 4x-5

Mathematics
1 answer:
n200080 [17]2 years ago
8 0
Let's first denote the intersection point of diagonals with O. In this parallelogram, we can observe that ΔAOB is congruent to ΔCOD because of AB=CD and the angles ∠BAO and ∠OCD are equal (They are alternate angles). According to the rule of congruency, 3x=4x-5 and x=5
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Think y=mx+b
ICE Princess25 [194]

Answer:

Step-by-step explanation:

3x%2B4y=12 Start with the given equation

4y=12-3x Subtract 3+x from both sides

4y=-3x%2B12 Rearrange the equation

y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4

y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction

y=%28-3%2F4%29x%2B3 Reduce

Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3

Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

 

So we have one point  

Now since the slope is comprised of the "rise" over the "run" this means

slope=rise%2Frun

Also, because the slope is -3%2F4, this means:

rise%2Frun=-3%2F4

which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4

So starting at , go down 3 units

and to the right 4 units to get to the next point  

Now draw a line through these points to graph y=-%283%2F4%29x%2B3

So this is the graph of y=-%283%2F4%29x%2B3 through the points  and

3 0
3 years ago
Y=3x-5 y=6x-8 show all steps and write the solution
m_a_m_a [10]

Step 1: Set the two equations equal to each other and solve for x.

3x -5 = 6x - 8

3x + (-5+5) = 6x -8 + 5

(3x - 6x) = (6x - 6x) - 3

-3x/-3  = -3/-3

x = 1

Step 2: To solve for y take one of the given equation of your choice (for the purpose of this explanation I will only do y = 3x - 5) and replace x with 1, then solve for y

y = 3(1) - 5

y = 3 - 5

y = -2

(1,-2)

Check:

-2 = 3(1) - 5 ---> - 2 = -2

-2 = 6(1) - 8 ---> -2 = -2

Hope this helped!

5 0
2 years ago
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Michael opens a bag of Skittles and organizes them by color. He has 5 yellow, 6 green, 8
ELEN [110]

Answer:

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