Answer:
Step-by-step explanation:
<u><em>The question is</em></u>
Find the measure of angle x
we know that
In this problem
----> by alternate interior angles
Because, each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.
Answer: (4, 4.6)
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The x coordinates of the points (3,2) and (8,15) are x = 3 and x = 8 respectively. The distance between these x values is 8-3 = 5 units. So we move 5 units to the right to go from the first point to the second point.
Imagine we had 5 blocks. If 1 of them is colored red and the other four are green, then the ratio of red to green is 1:4. We have 1 part red, 4 parts green. So 1+4 = 5 total. The "red block" in the metaphor mentioned basically tells us how far to move over the total distance 5. So we move 1/5th of the way along the horizontal distance of 5.
1/5 of 5 = (1/5)*5 = 1
So we move exactly one unit along the x direction. Therefore, we add 1 to to the x coordinate of (3,2) to end up with (3+1,2) = (4,2). This isn't the final answer, but it helps get us closer.
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For the y coordinates of the given points we see that the y difference is 15-2 = 13. Multiply this by 1/5 to get
(1/5)*13 = 13/5 = 2.6
We follow effectively the same steps as before, but now we're dealing with the y values this time. So we move 2.6 units in the y direction (ie move 2.6 units up)
Add 2.6 onto the y value of that last point we found to get (4,2+2.6) = (4,4.6)
So that explains why the answer is (4, 4.6)
A visual might help so I've posted one below in the attached images. In that image, the location of point T is the final answer.
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
<h3>What is a Equation ?</h3>An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.
The equations given in the question is
y = 2ˣ
This is an exponential function
-7x +3y = 3
This is a linear function
The equations have been plotted and the solution to the non linear system of equation has been determined
The point at which the graphs intersect is the solution to the system of non -linear equations.
(0,1) and (3,8)
x = 0 , y = 1 ; x = 3 , y = 8
The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value x = 3 , y = 8 .
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