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°
$55.9
You must multiply 46 by .15 to get 6.9 and add it to 46.
Answer:
35 ft²
Step-by-step explanation:
The shape is a triangle and its area is given by the formula below:
Area of triangle= ½ ×base ×height
Do note that the height has to be the perpendicular height, which is 5 ft in this case.
Area of triangle
= ½(14)(5)
= 35 ft²
I believe it’s 140 I rounded it and got 140 so it should work
Answer:
x=-4
Step-by-step explanation:
3x-5=7x+11 Add like terms
+5 +5
3x=7x+16 Do it again...
-7x -7x
-4x=16 Now divide
x=-4
