Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
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For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
Answer:
All positive rational numbers greater than 50
Step-by-step explanation:
Since the delivery cost is fixed per trip, the cost incurred can be represented by the equation
y(x)=8x+50 so in case Tess wants only 1 tone, the cost will be y(x)=8(1)+50=58
Therefore, it's proper to conclude that all numbers in the possible range are positive rational numbers greater than 50
Answer:
Step-by-step explanation:
From the upper isosceles triangle,
The answer is: x=±√5y [Note: If and only if at the lower triangle is NOT isosceles]
Exterior angle to the isosceles triangle = 2(2x^2 – 2x) [because the exterior angle of a triangle is equal to the sum of two opposite interior angles]
Therefore, the exterior angle = 4x^2 – 4x
Also,
The exterior angle is equal to the sum of the two interior base angles of the lower triangle
Thus, 4x^2 – 4x=(3x^2+4x) + (5y – 8x)
By collecting like terms,
4x^2 – 3x^2 – 4x – 4x + 8x – 5y = 0
x^2 – 5y = 0
x^2 = 5y
By taking the square root of both sides
x=±√5y
Learn more about triangles at brainly.com/brainly.com/question/29069807
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The formula in finding the sum or the total measure of the interior
angles of polygon having n sides is:
Sum of interior angles = (n – 2) 180
Where n = number of sides of the polygon
In this problem, you are asked for the sum of the interior
angles of a 17 sided polygon. You have to substitute the number of sides to the
formula:
Sum of interior angles = (17 – 2) 180
Sum of interior angles = (15) 180
Sum of interior angles = 2,700 degrees
Answer:
10 weeks
Step-by-step explanation:
Use the equation 180+17w=350
