<h3><em>Hey there today we will solve your problem,</em></h3>
Number 1
_______________
<h3>Definitions</h3>
- Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>
<em />
- Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>
_______________
Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3
_______________
Number 2
Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.
_______________
- ∠5 and ∠3
2. ∠4 and ∠3
Blank 1: 3
Blank 2: 27
Blank 3: 21
you have to distribute the three to everything inside the parenthesis, and because it's directly in front of the parenthesis it's being multiplied.
3(x - 9) = 3x - 27
Now you need to isolate the y, in this e ample you need to add 6 to both sides
the final equation should be:
y = 3x - 21
Answer:
x = 9cm
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + x^2 = ( sqrt(117) ^2)
36 + x^2 = 117
Subtract 36 from each side
x^2 = 117 -36
x^2 = 81
Take the square root of each side
sqrt(x^2) = sqrt(81)
x = 9
Answer: im not very sure and im sorry but the answer is either D or C
Step-by-step explanation:
