Answer:
answer below
Step-by-step explanation:
∠3 = 76°
∠1 = ∠3 = 76° (vertical angle)
∠2 = 180 - ∠1 = 180° - 76° = 104° (supplementary adjacent angle)
∠4 = ∠2 = 104° (vertical angle)
Answer:
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( -2 , -7 )
point B( x₂ , y₂) ≡ ( 5 , 7 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

Or
Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

Substituting the given values in a above equation we get

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Answer:
r = 13
Step-by-step explanation:
Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.
Also, with respect to the angle given, the side "12" is the opposite.
So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.
So we can write:

Rounded to nearest whole number, r = 13
CD = XY = 26 mm
hope that helps