The angles of a triangle always add up to 180°.
120 + x + 16 + x = 180
Add up the values.
136 + 2x = 180
Subtract 136 from both sides.
2x = 44
Divide both sides by 2.
x = 22
Pablo : 3(2x) = 6x
Sofia : 2x
Mia : x
Assuming x = 10
Mia : x = 10
Sofia : 2x = 2(10) = 20
Pablo : 3(2x) = 3(20) = 60
10 + 20 + 60 = 90
90/3 = 30 candy eggs per person
Pablo: 60 x 1/2 = 30
Sophia: 30-20 = 10 : 10
Mia : 30 - 10 = 20 : 20
Ratio of eggs given to sophia from pablo's set = 10/60 = 1/6
Ratio of eggs given to mia from pablo's set = 20/60 = 2/6 = 1/3
Hi there! Hopefully this helps!
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Question A answer: 2.
To find the <u>median</u>, you simply need to order the set from lowest to highest and finding the <u><em>exact middle</em></u>. So it should look like this:
0, 1, <em><u>2</u></em>, 3, 4. So 2 is the median, therefore 2 is the answer to Question A.
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Question B answer: 2
To find the <u>mean</u>, you have to add all of the numbers together and then you have to <u>divide by the number of items in the set</u>. There are 5 numbers in the set so it should look like this:
0 + 1 + 2 + 3 + 4 = 10.
Since there 5 numbers in the set, we need to divide by 5.
10 / 5 = 2.
Therefore, 2 is also the answer to Question B.
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<em>Edit:</em> <em>Whoops, sorry for the explanation...</em>
24 feet by 15 feet
You divide each nukber by 5 bevause that is the given scale factor.
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
t=1.40625~1.4 seconds
Thus the time taken to reach maximum height is 1.4 seconds
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