Triangle sum and exterior angle theorem.
1 answer:
Did two of them for you as reference for the rest.
Explanation for #1
The sum of all the angles in a triangle is 180. Simply add the given angles. Take 180 and subtract the sum of the given angles
180 - (58 + 47) = 75
Missing angle is 75
Explanation for #4
A straight angle is 180 degrees. Same thing as the first: add the given angles then take 180 and subtract it.
Then take 180 <em>again </em>and subtract the answer you got from the first step.
180 - (21 + 34) = 125
180 - 125 = 55
The missing angle is 55
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Answer:
12)
11)
10)
9)
8)
7)
6)
5)
4)
3)
2)
1)
Step-by-step explanation:
12)
y - 4 = −(x - 4)
y - 4 = −x + 4
+ 4 + 4
__________
_______________________________________________
11)
y + 2 = 12(x + 2)
y + 2 = 12x + 24
- 2 - 2
____________
_______________________________________________
10)
y - 1 = 5(x - 1)
y - 1 = 5x - 5
+ 1 + 1
_________
_______________________________________________
9)
y - 5 = −2(x + 2)
y - 5 = −2x - 4
+ 5 + 5
___________
_______________________________________________
8)
y - 5 = 2(x + 2)
y - 5 = 2x + 4
+ 5 + 5
__________
_______________________________________________
7)
y + 4 = 12(x - 2)
y + 4 = 12x - 24
- 4 - 4
____________
_______________________________________________
6)
4x - 3y = −6
-4x - 4x
__________
−3y = −4x - 6
___ _____
−3 −3
_______________________________________________
5)
4x - y = 2
-4x - 4x
_______
−y = −4x + 2
_______________________________________________
4)
x - y = 0
______
−y = −x
_______________________________________________
3)
7x - 5y = 35
-7x - 7x
_________
−5y = −7x + 35
___ ______
−5 −5
_______________________________________________
2)
2x - y = 4
-2x - 2x
_______
−y = −2x + 4
_______________________________________________
1)
2x - 3y = 24
-2x - 2x
_________
−3y = −2x + 24
___ _______
−3 −3
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F(x) = 3x - 6
g(x) = x - 2
This means the value of the ratio f(x)/g(x) will be equal to 3.
Domain of the fraction is Set of All real numbers except 2. At 2 the given fraction will be undefined as the denominator in the very first fraction will be zero. Another reason 2 is not a part of the domain is that it will make x-2 equal to zero and we cannot cancel out 0 with 0 from numerator and denominator.
In interval notation, the domain will be: (-∞,2)∪(-2 ,∞)
g(x) = x - 2
This means the value of the ratio f(x)/g(x) will be equal to 3.
Domain of the fraction is Set of All real numbers except 2. At 2 the given fraction will be undefined as the denominator in the very first fraction will be zero. Another reason 2 is not a part of the domain is that it will make x-2 equal to zero and we cannot cancel out 0 with 0 from numerator and denominator.
In interval notation, the domain will be: (-∞,2)∪(-2 ,∞)