Answer:
x = 3
y = 2
Step-by-step explanation:
When 2 triangles are congruent, they will have exact same 3 sides length and exact same 3 angles measure.
So we can say:
-2x + 6y = 6
and
-7x + 8y = -5
Let's multiply first equation by 7 and 2nd equation by -2, to get:
7 [-2x + 6y = 6] = -14x +42y = 42
and
-2 [-7x + 8y = -5] = 14x - 16y = 10
Now adding these 2 new equations and solving for y:
-14x +42y = 42
14x - 16y = 10
----------------------
26y = 52
y = 52/26
y = 2
Now we put y = 2 into 1st equation (or any other) and solve for x:
-2x + 6y = 6
-2x + 6(2) = 6
-2x + 12 = 6
6 = 2x
x = 6/2
x = 3
Answer:
y=2x+1
Step-by-step explanation:
First you have to find the slope:
5-1/2 so 4/2 or 2
Then you write it in point-slope: (I used the point (0,1))
y-1=2x
Simplify than:
y=2x+1
4/3
Remember if two lines are perpendicular, the product of their slopes are -1
<h3>
Answer: Choice (d)</h3>
Explanation:
To reflect over the y axis, we apply this rule
which says to flip the sign of the x term but keep the y coordinate the same.
So that means something like J(-2,5) becomes J ' (2, 5). The other points are handled in the same fashion and that leads us to choice (d). Points on the y axis will stay where they are.
Answer:
<h2>x = 12</h2>
Step-by-step explanation:
First of all multiply through by 5 to eliminate the fraction
That's
Next using the addition property add 4 to both sides of the equation
We have
<u>Divide both sides by 2</u>
We have the final answer as
<h3>x = 12</h3>
Hope this helps you
