Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
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.
Step-by-step explanation:
In a straight line theres 180 degrees and where x is you can tell its an X lines the opposites will be the same.
First you need to work out the triangles 180-122=58 and a triangle is 180 degrees so
58+40=98 180-98=82°
now working out the other triangle.
180-82=98, 43+98=141
180-141=39
and because the opposites will end up the same x=39°
Answer:
Step-by-step explanation:
Multiply 9 times 13
You get 117 campers
Answer:
576 grams
Step-by-step explanation:
The ratio of sugar to cans is ...
(120 g) : (5 cans) = X/(24 cans)
Multiplying by 24 cans, we find ...
X = (24/5)(120 g) = 576 g
There are 576 grams of sugar in a case of MathJuice.