50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
1 answer:
Answer and Step-by-step explanation:
These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.
is Pythagorean theorem.
Now, we want to find x.
We know the triangles are similar.
4.5 divided by 3 is 1.5. This is the scale factor for the triangle.
If we multiply y by 1.5, we will get 5x.
Those are the answers and how to get them.
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Point-slope form: y-y1 = m(x-x1)
Standard form: ax + by = c
Slope-intercept form: y = mx+b
Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.
To create point-slope form, we need to get one point from the graph. Let's use (3,0).
To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.
To get standard form, solve the equation in terms of C.
Point-slope form: y = -4/3(x-3)
Slope-intercept form: y = -4/3x + 4
Standard form: 4/3x + y = 4