<u>Given</u> -
- If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,
<u>To find</u> -
<u>Concept</u> -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
<u>Solution</u> -









m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
Answer:
y = 5
Step-by-step explanation:
The 3 interior angles of a triangle sum to 180°
Sum the 3 given angles and equate to 180
100 + 4y + 25 + 3y + 20 = 180 ← simplify left side
7y + 145 = 180 ( subtract 145 from both sides )
7y = 35 ( divide both sides by 7 )
y = 5
Answer:
6 tubs of dried cranberries.
Answer:
equation of line:
y = mx + b....(1)
slope = m = 2/3
y-intercept = b = ?
putting the point (5,6) and slope(2/3) in equation(1)
6 = (2/3)(5) + b
6 = 10/3 + b
b = 6 - 10/3
b = (18 - 10)/3
b = 8/3
putting value of b and m in equation(1)
y = (2/3)x + 8/3
Step-by-step explanation:
A+b=32
a-b=8
let's subtract bottom equation from the top:
a+b-(a-b)=32-8
2b=24
b=12
Then a=20