For the options C, D, and E, (where the 3 sides are given) result in the construction of unique triangles.
<h3>Which conditions will result in the construction of a unique triangle?</h3>
We will have unique triangles only if the length of the 3 sides are completely determined, so we need to know the 3 sides, or two sides and one angle.
With that in mind, for options C, D, and E (in the 3 cases the 3 sides of the triangles are given). Then for these 3 options, we can make a unique triangle.
While for the first two options, where we only know the angles, we can make infinite triangles.
If you want to learn more about triangles:
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Answer:
(4b-9) (4b+9)
Step-by-step explanation:
16b^2 – 81
This is the difference of squares
(a^2 -c^2) = (a-c) (a+c)
a^2 = 16b^2 so a= 4b
c^2 = 81 so c = 9
(16b^2 – 81) = (4b-9) (4b+9)
Answer:
<u>Step-by-step explanation:</u>
In order for the equations to have no points of intersection, they must be parallel lines. This means they have the same slope but different y-intercepts.
So, need an equation that has the same slope as (3, -7) and (9, 8). Use the slope formula:
Answer:
Length = x feet = 95 feet
Step-by-step explanation:
The labeled triangles are not included in the question, therefore, I will calculate the length of the rectangular space for Kelly's dog
Perimeter of a rectangle = 2(length + width)
Perimeter of a rectangle = 236 feet
Width = 23 feet
Length = x feet
Perimeter of a rectangle = 2(length + width)
236 = 2(x + 23)
236 = 2x + 46
236 - 46 = 2x
190 = 2x
x = 190/2
x = 95 feet
Length = x feet = 95 feet