Step-by-step explanation:
The question gives us two points, (87, 91) and (88, -4), from which we can find the slope and later the equation of the line.
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<u>Finding the Slope</u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (91 - (- 4)) ÷ (87 - 88)
= - 95
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<em><u>Checking my answer:</u></em>
<em>Finding the Equation</em>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-4) = - 95 (x - 88)
y + 4 = - 95 (x - 88)
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>
Answer:
5 different triangles
Step-by-step explanation:
we know that
The number of diagonals of an n-sided polygon is given by the formula :
where
n is the number of sides
In this problem
n=5
substitute
see the attached figure to better understand the problem
The number of different triangles that can be formed by the sides of the polygon and its diagonals is equal to 5
so
Triangles
AEB
EDC
BCD
ACD
EBC
see the attached figure
