m∠3 = 70°
Solution:
Line l and line m are parallel.
line t and line s are transversals.
<em>Sum of the adjacent angles in a straight line = 180°</em>
50° + (x + 25)° + (2x)° = 180°
50° + x° + 25° + 2x° = 180°
75° + 3x° = 180°
Subtract 75° from both sides, we get
3x° = 105°
Divide by 3 on both sides of the equation.
x° = 35°
x = 35
(2x)° = (2 × 35)° = 70°
(2x)° and ∠3 are alternate interior angles.
<em>If two lines are parallel then alternate interior angles are congruent.</em>
m∠3 = (2x)°
m∠3 = 70°
Hence m∠3 = 70°.
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
Answer:
2/5
Step-by-step explanation:
If the width = x m then the length = 2x - 4 m
Area = x(2x - 4) = 70
2x^2 - 4x - 70 = 0
2x^2 - 14x + 10x - 70 = 0
2x(x - 7) + 10(x - 7) = 0
(2x + 10)(x - 7) = 0
x = 7 or -5 ( ignore negative)
width = 7 m and length = 10 m answer
Answer to number 16 is 27 and 17 is 2
