Answer:
x = 7
Step-by-step explanation:
Suppose ray UW divides ∠TUV into two angles ∠ TUW and ∠ WUV.
Then, m∠TUV = m∠ TUW + m ∠ WUV
Given m∠TUV = (9x + 1), m∠ TUW = (7x - 9) and m ∠ WUV = (5x - 11)
Substitute these values in (i) we get
9x + 1 = 7x - 9 + 5x - 11
9x + 1 = 7x + 5x - 9 - 11
9x + 1 = 12x - 20
12x - 9x = 1 + 20
3x = 21
x = 21/3
x = 7
The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.
<h3>What is the standard equation of a line?</h3>
The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y-intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.
Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.
The slope of the lines parallel to each other is equal.
Two lines are said to be perpendicular when they intersect at 90 degrees.
The slope of two perpendicular lines has a product of -1.
To known more about the standard equation of a line
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Answer: the 3rd one is the only true one because there are 7 boys and 2 girls
Answer:
8ft
Step-by-step explanation:
Circumference of a circle equation; πd or2πr
16π = 2πr you can then divide both sides by π
16 = 2r then you can divide both sides by 2
8 = r
