Answer:
45
Step-by-step explanation:
Every Triangle has 180 degrees.
x + 8x + 3x = 180
12x = 180
x = 180/12
x = 15
Angle K = 3x
K = 3 * 15
K = 45
The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.
Formula:
- Ta = [(d/s)+11:50]....... Equation 1
Where:
- Ta = Arrival time
- d = distance from Leicester to London
- s = Speed
From the question,
Given:
Substitute these values into equation 1
- Ta = [(100/80)+11:50]
- Ta = 1.25h+11:50
- Ta = 1 hours 15 minutes +11:50
- Ta = 13:05 pm
Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.
Learn more about time here: brainly.com/question/4931057
The first 3 are functions as their x coordinate (number on the left side of the parentheses) is not repeated in any of the other parentheses
12. ∆ABD is similar to ∆PQD, so
QD/z = BD/x
Likewise ∆CDB is similar to ∆PQB, so
QB/z = BD/y
Since QD + QB = BD, you have
QD/z + QB/z = BD/x + BD/y
BD/z = BD/x + BD/y
Dividing by BD gives the desired result:
1/x + 1/y = 1/z
13. Triangles ABD, BCD, and ACB are all similar. This means
AB/AC = AD/AB
AB² = AC×AD = (4 cm)×(9 cm)
AB² = 36 cm²
AB = 6 cm
and
BD/CD = AD/BD
BD² = CD×AD = (5 cm)×(4 cm)
BD² = 20 cm²
BD = 2√5 cm
