Answer:
Each hiker carried the backpack for 1/5 of the total trail distance
Step-by-step explanation:
Three members of a teen hiking group hiked 3/5 of the entire Appalachian trail, each teen carried the backpack the same distance
=> each teen carried the backpack for = (1/3) (3/5) of total Distance = 1/5
Answer:
A U B = {1,2,3,4,5,6,8}
Step-by-step explanation:
Let's define the sets.
Let ¢ = universal set ( Contains all the elements in the set)
¢ = {1, 2, 3, 4, 5, 6, 7, 8, 9 , 10}
A= {2, 4, 6, 8}
B= {1,2,3,4,5,6}
Therefore: A U B (A union B):
A U B = {1, 2, 3, 4, 5, 6, 8}
Answer:
m ∠ L = 54°
Step-by-step explanation:
the angles of triangle are 2x, 3x & 5x
the sum of angles are 180°
2x+3x+5x = 180
10x = 180
x = 180/10 = 18°
m ∠ L = 3x° = 3(18)° = 54°
m ∠ L = 54°
Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
