Answer:
The value of ∠A is 62° ⇒ c
The value of ∠B is 54°⇒ d
Step-by-step explanation:
<em>In a triangle, the measure of an exterior angle at a vertex of the triangle equals the sum of the measures of the two opposite interior angles to this vertex.</em>
<em />
In Δ ABC
∵ The measure of the exterior angle at the vertex C = 116°
∵ The opposite interior angles to vertex C are ∠A and ∠B
∵ m∠A = (3x - 13)°
∵ m∠B = (2x + 4)°
→ By using the rule above
∴ (3x - 13) + (2x + 4) = 116
→ Add the like terms in the left side
∵ (3x + 2x) + (-13 + 4) = 116
∴ 5x + -9 = 116
∴ 5x - 9 = 116
→ Add 9 to both sides
∵ 5x - 9 + 9 = 116 + 9
∴ 5x = 125
→ Divide both sides by 5
∴ x = 25
→ To find the measures of angle A and B substitute x in their
measures by 25
∵ m∠A = 3(25) - 13 = 75 - 13
∴ m∠A = 62°
∴ The value of ∠A is 62°
∵ m∠B = 2(25) + 4 = 50 + 4
∴ m∠B = 54°
∴ The value of ∠B is 54°
Answer:
They're both equal.
Step-by-step explanation:
If you simplify 36/24, its 3/2. (36 divided by 24 = 3/2.)
9/6 simplified is 3/2. (9 divided by 6 = 3/2.)
3/2 = 3/2.
I believe,
since... slope = (y2-y1)/(x2-x1)
so... slope = (-1+5)/(-1-2)
slope = (4)/(-3) or.. -.75
The equation of the line will be 3y + 8x = 165.
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given that:-
- Find the equation of the line through point (8,−9) ( 8, − 9 ) and perpendicular to 3 x + 8 y = 4.
The given equation of the line is:-
3 x + 8 y = 4.
The slope of this line will be:-
3 x + 8 y = 4.
8y = -3x + 4
y = -3 /8x + ( 1 / 2)
y = mx + c
m = -3 / 8
Since the line is perpendicular to the other line 3x +8y = 4 so the slope will be inverse and negative for the line.
So the slope of the line will be -8 / 3
The equation of the line passing through the point will be given as:-
y - y 1 = m ( x- x1)
y - (-9) = ( -8 / 3) ( x - 8)
Y + 9 = ( -8 / 3 ) ( x -8 )
3 y = -8x + 165
3y + 8x = 165
Therefore the equation of the line will be 3y + 8x = 165.
To know more about equations follow
brainly.com/question/2972832
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Area=(Theta/2) * r^2 This should be it, obviously Theta is your angle and you should use radiants in theory.
