Based on the relationship of special angles, the values of x are:
1. x = 34
2. x = 9
3. x = 6
<h3>What are The Relationship of Angles Formed by a Transversal and Parallel Lines?</h3>
Alternate interior angles are equals and corresponding angles are also equal.
Linear pair angles are supplementary.
1. Angles j and a are linear pair angles, therefore:
3x + 15 + 2x - 5 = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170/5
x = 34
2. Angles m and g are corresponding angles, therefore:
4x + 12 = 2x + 30
4x - 2x = -12 + 30
2x = 18
x = 9
3. Angles c and v are alternate interior angles, therefore:
6x + 9 = 3x + 27
6x - 3x = -9 + 27
3x = 18
x = 6
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Answer:
![(a)\ h(g) = -4 + g](https://tex.z-dn.net/?f=%28a%29%5C%20h%28g%29%20%3D%20-4%20%2B%20g)
g is the input
![(b)\ f(h) =h -7](https://tex.z-dn.net/?f=%28b%29%5C%20f%28h%29%20%3Dh%20-7)
h is the input
![(c)\ g(f) = 2f](https://tex.z-dn.net/?f=%28c%29%5C%20g%28f%29%20%3D%202f)
f is the input
Step-by-step explanation:
Given
See attachment for functions and inputs
Required
Match the function with their inputs
The variables on the left-hand side or the variables inside the function bracket are the inputs of the function. e.g. x is the input of f(x)
Using the above description, we have:
![(a)\ h(g) = -4 + g](https://tex.z-dn.net/?f=%28a%29%5C%20h%28g%29%20%3D%20-4%20%2B%20g)
g is the input
![(b)\ f(h) =h -7](https://tex.z-dn.net/?f=%28b%29%5C%20f%28h%29%20%3Dh%20-7)
h is the input
![(c)\ g(f) = 2f](https://tex.z-dn.net/?f=%28c%29%5C%20g%28f%29%20%3D%202f)
f is the input
Answer:
4
Step-by-step explanation:
Two perpendicular lines must have a slope that multiplies to -1. With this in mind, we take the slope from the given equation, -1/4, and add multiply it by a variable new slope, z. We get the equation -1=-1/4z
Working it out:
-1=-1/4z
-1/-1/4=-1/4z/-1/4 (The two -1/4's on the right cancel out, leaving us with just z on the right side. -1 divided by -1/4 is equal to 4)
4=z
The slope of your line perpendicular to the given line is 4.
A trick for me to remember this is the answer for a perpendicular slope is the negative reciprocal. Add a negative sign to the number and flip it. It will never be wrong if worked out correctly. I can help you with this strategy more if you ask.
Answer:
it means x divided by 15
Step-by-step explanation: