m∠K = 55°
Solution:
Given JKLM is a isosceles trapezoid.
Measure of ∠M = (11x – 18)° and Measure of ∠K = (3x + 16)°
In a isosceles trapezoid opposite angles are supplementary.
⇒ m ∠M + m ∠K = 180°
⇒ (11x – 18)° + (3x + 16)° = 180°
⇒ 11x° – 18° + 3x° + 16° = 180°
Combine like terms together.
⇒ 11x° + 3x° + 16° – 18° = 180°
⇒ 14°x – 2° = 180°
⇒ 14°x = 180° + 2°
⇒ 14°x = 182°
⇒ x = 13°
Substitute x = 13° in m ∠K.
⇒ m∠K = 3(13°) + 16°
⇒ m∠K = 39° + 16°
⇒ m∠K = 55°
Hence m∠K = 55°.
Answer:
42÷s=6
Step-by-step explanation:
111 tickets, because 660 divided by 6 equals 110 which is the number of tickets you need to make no profit and if you sell one more ticket you make a profit.
Answer:
c.
The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.
Step-by-step explanation:
Jacqueline longest time is 45 and the shortest is 30,
45-30=15
Cassie longest time is 50 and the shortest is 15,
50-15=35
35>15
