Answer:
they will eat 12 food altogether
The measure of AEC is 115°.
AED and AEC are supplementary, meaning AED + AEC = 180°
AED + 65° = 180
AED = 115°
After mom gave each girl an equal amount of money for this months allowance, lily had twice as much money as Elsa. Thus mom gave $ 320 to each girl
<em><u>Solution:</u></em>
Given that Lily and Elsa are both college students
Before mom gave them this months allowance lily had $750 and Elsa had &215
<em><u>Amount (in dollars) with Lily and Elsa already is given as:</u></em>
amount with Lily = $ 750
amount with Elsa = $ 215
After mom gave each girl an equal amount of money for this months allowance, lily had twice as much money as Elsa
Let "x" be the equal amount of money which mom gave to Lily and Elsa
Now amount with Lily and Elsa after mom gave equal amount is:
amount with Lily = amount with Lily already + x
amount with Lily = 750 + x
amount with Elsa = amount with Elsa already + x
amount with Elsa = 215 + x
Given that lily had twice as much money as Elsa
Amount with lily = 2(amount with elsa)
750 + x = 2(215 + x)
750 + x = 430 + 2ax
2x - x = 750 - 430
x = 320
Therefore mom gave $ 320 to each girl
Answer:
So for a hint to help you...when you are looking at a triangle on a 180 degree line, each angle adds up to 180 degrees. So for example, on #9 on the top of the triangle, one of the angles is 49 degrees so you want to subtract that from 180 ( 180 - 49 = X ) ( X = angle 1 and 2 ) so angle 1 and 2 added together equals X. In this case, ( X = 131 degrees ) Every triangle equals 180 degrees too. So since this angle has 3 different angles on the line, you can do the rest of the problems and come back to these because you can subtract angle 4 and 73 to get angle 2.
(still on #9) Angle 3, as you can see only has one other number beside it (73) so it makes this one very easy. ( 180 - 73 = X ) ( X = 107 ) <u>Angle 3 = 107 degrees</u>
<u></u>
Angle 5. Subtract the 49 above angle 5 from 180 and the result will be angle 5. ( 180 - 49 = X ) ( X = Angle 5 ) <u>X/angle 5 = 131.</u>
Now you can get angle 4, which gives you angle 2 and 1. ( 180 - 131 = Angle 4 ) <u>(Angle 4 = 49)</u>
Angle 2. In the triangle, we have 73 degrees, and 49 degrees. So the equation for this one is, ( 180 - 73 - 49 = Angle 2 ) ( Angle 2 = 58 )
Angle 1. On this line, we have 49 degrees and 2=58 degrees. ( 180 - 58 - 49 = Angle 1 ) <u>( Angle 1 = 73 )</u>
<u></u>
Lastly, Angle 3. The side of this triangle will also equal 180, just like the top line. Angle 1 = 73 degrees so as you now know, subtract that from 180 and get angle 3. ( 180 - 73 = Angle 3 ) <u>(Angle 3 = 107 )</u>
<u></u>
1: 73 degrees
2: 58 degrees
3: 107 degrees
4: 49 degrees
5: 131 degrees
I know this is a lot to read, but I really hope I explained it to where you can understand it now.
Answer:
25% of all points is 16. So 16 is 1/4. Multiply 16 by 4 and then total points is 64