Observation one
From the markings on the diagram <1 = 60o The left triangle is at least isosceles. Therefore equal sides produce equal angles opposite them.
Now we have accounted for 2 angles that are equal (each is 60 degrees) and add up to 120 degrees. The third angle (angle 2) is found from this equation.
<1 + 60 + <2 = 180 degrees. All triangles have 180 degrees.
60 + 60 + <2 = 180
Observation 2
<2 = 60 degrees.
120 + <2 = 180
m<2 = 180 - 120
m<2 = 60 degrees.
Observation 3
m<3 = 120
<2 and <3 are supplementary.
Any 2 angles on the same straight line are supplementary
60 + <3 = 180
<3 = 180 - 60
<3 = 120
Observation 4
m<4 = 40 degrees.
All triangles have 180 degrees. No exceptions.
m<4 + 20 +m<3 = 180
m<4 + 20 + 120 = 180
m<4 + 140 = 180
m<4 = 180 - 140
m<4 = 40
Hello from MrBillDoesMath!
Answer:
8 (3w^2 - 2)
Discussion:
The greatest common factor is 8, so
24w^2 - 16 = 8 (3w^2 - 2)
Thank you,
MrB
The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.
<h3>How to draw the graph of an exponential Function?</h3>
We want to draw the graph of the exponential function;
f(x) = 5(2)ˣ
At input of x = 0, we have;
f(x) = 5(2)⁰ = 5
At input of x = 1, we have;
f(x) = 5(2)¹ = 10
At x = -1, we have;
f(x) = 5(2)⁻¹ = 2.5
At x = -2, we have;
f(x) = 5(2)⁻² = 1.25
Read more about Graph of Exponential Function at; brainly.com/question/12940982
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Answer:
Step-by-step explanation:
U would add it even though it looks like u need to multiply but u don’t. In order to add, u need to find the lcd of them both which is 12. 10/12 + 9/12. 19/12 or 1 7/12.
For perimeter you just add the sides up, so 15+12+9 which = 36
