Answer:
Angles 1 and 2 are both 60, and angle 3 is 120
Step-by-step explanation:
Answer:
f(x) = g(x) + 3
Step-by-step explanation:
Consider the y - intercept of f(x) and g(x)
g(x) has y- intercept (0, - 2)
f(x) has y- intercept (0, 1)
That is the y-intercept of f(x) is 3 units vertically up from the y- intercept of g(x)
Note that any point on f(x) is 3 units vertically up from the corresponding point on g(x)
A vertical translation is expressed as
f(x) = g(x) + 3
Answer:
The answer is "Equiangular, Equilateral"
Step-by-step explanation:
please find the complete question in the file.
In this question, the answer is equiangular, in which the triangle was considered an equilateral triangle with 3 parallel inner angles. It's the measurement of each of these interior angles is 60 degrees, inside an equiangular triangle, and although there 3 parallel sides of an equiangular triangle, so it is just like an equilateral triangle.
You can solve this exercise as below (View the figure attached):
1.Divide the figure in four equals parts. Now we have 4 rectangles with the same dimensions.
2.Choose the rectangle that has the angle given in the problem, which we will call "α" (α=59°).
3. We must remember that the sum of the internal angles of a triangle is 180°. We have α=59° and the right angle, so we can find the other one, which we will call "β1":
β1=180°-90°-59° β1=31°
4. As we can see in the figure, "α" is alternate interior with α1 (α=α1=59°) and β1 is alternate interior with m∠11 (β1=m∠11=31°).
5. The others rectangles have the same dimensions of the rectangle we chose, so they have the same angles too.
We can notice in the figure that m∠7+m∠8+m∠9+m∠10= 360°
The answer is:
m∠1=59°
m∠2=31°
m∠3=59°
m∠4=31°
m∠5=31°
m∠6=59°
m∠7=118°
m∠8=62°
m∠9=62°
m∠10=118°
m∠11=31°