Please help the following questions

Mathematics

1 answer:

insens350 [35]2 years ago

6 0

Answer:

<em>Option D</em>

Step-by-step explanation:

Assume that these polygons were similar. You could tell that if they were, ABCD ~ EFGH, and is already noted by the answer choices. We can conclude that AB ~ EF, CD ~ GH and so on. To prove that these shapes are similar, we must form a like proportionality among these side;

$EF / AB = GH / CD\\5 / 8 = 4 / 2.5,\\0.625 \neq 1.6\\\\Conclusion - Option D$

As the proportions we formed were to equal to one another,<em> the solution must be option D!</em>

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Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3

cricket20 [7]

Answer:

$y=\frac{5}{3}x+4\frac{2}{3}$

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = $\frac{5}{3}$

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

$3=\frac{5}{3}(-1)+b$