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°.
4: A school has 314 boys & 310 girls. If they are to be grouped into equal classes of 26 each , how many classes will there be?
314 boys + 310 girls = 624
If they are grouped into classes of 26 students each, how many class will there be?
130 students = 5 classes
Therefore
260 students = 10 classes
260 x 2 = 520 = 20 classes
26 x 24 = 624
Number of classes = 24
Question 5).
Jim worked 48 weeks last year. Each week he worked 38 hours. If he worked an additional 240 hours of overtime, how many hours did he work in all?
Solution:
48 weeks
24hrs × 7 = 168hrs
168 x 48 = 8,064
Additional 240hrs
= 168hrs = 7 days (a week)
240hrs - 168 = 72 (3days)
168 + 72
= 240hrs + 8, 064
= 8, 304 hrs
The answer is B) 1/(-2)^6
Answer:
Choice C
Step-by-step explanation:
4x+80=180 degrees
summation of all angles in a triangle is 180°
Answer:
100 + (5X) = -2X
Step-by-step explanation:
Since the club with an occupancy of 100 will sell out at $ 25 per ticket, and if the owner decides to increase the price by $ 5, then 2 less tickets will be sold, to determine the revenue function if X is the number of $ 5 increases the following calculation must be performed:
100 + (5X) = -2X
So, for example, if the price were increased by $ 15, the equation would apply as follows:
15/5 = 3
100 + (5x3) = -2 x 3
100 + 15 = -6
115 = -6
