The type of triangle represented in the image attached to the task content is; Isosceles.
<h3>What type of triangle is triangle ABC?</h3>
By observation; since line AB and DE are parallel lines; it follows from the alternate Angie theorem that; <ABC = <BCE = 80°.
On this note, since angle ACD is 50°, the measure on <ACB is;
180 - 80 - 50 = 50°.
Therefore, since the sum of interior angle measures in a triangle is; 180°.
It follows that; <BAC is; 180 - 80 - 50 = 50°.
Hence, since the base angles; BAC and ACB are equal; it follows that the triangle in discuss is an isosceles triangle.
Read more on isosceles triangle;
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By evaluating the <em>linear</em> function f(x) = x - 3 at x = 5 and discarding the another function in the table given, we conclude that f(5) = 2 belongs to that <em>linear</em> equation.
<h3>What function contains a given relationship?</h3>
In this problem we must check if the given relationship between the <em>independent</em> variable (x) and the <em>dependent</em> variable (y) exists in any of the two functions: (i) a table, (ii) an expression.
After a quick analysis, we conclude that f(5) = 2 is a point of the linear function f(x) = x - 3. Here is the proof:
f(5) = 5 - 3
f(5) = 2
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Answer:
(17/8, -1/8)
Step-by-step explanation:
the bottom equation is equivalent to x = 2-y
so I switch the value of x in the top equation to x = 2-y
and it becomes 2*(2-y) - 6y = 5
equal to 4 - 2y - 6y = 5
-8y = 1
y = -1/8
then you substitute this value in the second equation
x + y = 2 becomes x + (-1/8) = 2
x = 2 + 1/8 = 16/8 + 1/8 = 17/8
(n+3)(m-5) is the answer.
