Answers:
- x = 45
- angle measure = 104 degrees
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Explanation:
These angles are on alternating sides of the transversal line, and they are exterior of the parallel lines. Therefore, these are alternate exterior angles.
Alternate exterior angles are congruent when we have parallel lines like this.
Set the two expressions equal to each other. Solve for x.
3x-31 = x+59
3x-x = 59+31
2x = 90
x = 90/2
x = 45
Then we can find that:
- 3x-31 = 3*45-31 = 135-31 = 104
- x+59 = 45+59 = 104
Both alternate exterior angles are 104 degrees each, which confirms we have the correct x value.
Answer:
the area is 92.4
Step-by-step explanation:
you just multiply the base and height to get the area
Answer:
Range of
is (−5,11).
Step-by-step explanation:
Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).
Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by
Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by 
Hence, Range of
is (−5,11)
Answer:
A. x/4 = 12
Step-by-step explanation:
Alicia and 3 of her friends are 4 people in total. To find what they spent, you do 4 • 12 = x, which is the same as x/4 = 12