Answer:
2954.91088758
Step-by-step explanation:
exact answer
Answer
<span>m∠WXY + m∠YXZ = 180°</span>
<span>The best statement that could describe the dogs environment 5 seconds after the command was given is that th</span>e dog was running towards the trainer to receive a treat.
Answer: 120 ways
Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.
Let's start by drawing 5 blanks to represent the 5 different positions in the line.
Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have <u>5</u> <u>4</u> <u>3</u> <u>2</u> <u>1</u>.
Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.
5 x 4 is 20, 20 x 3 is 60, 60 x 2 is 120, and 120 x 1 is 120.
So there are 120 ways for all 5 spots to be filled which means that there are 120 ways that 5 people can be arranged in a line.
I have also shown my work on the whiteboard in the image attached.
Answer:
<h2>
m∠M = 123° ; m∠L = m∠N = 90° </h2>
Step-by-step explanation:
A quadrangle LMNP is inscribed in circle which means:
m∠L + m∠N = m∠P + m∠M = 180°
m∠P + m∠M = 180°
57° + m∠M = 180°
m∠M = 123°
m∠L + m∠N = 180° and m∠L + m∠N
m∠L + m∠L = 180°
2×m∠L = 180°
m∠L = 90°
m∠N = m∠L = 90°