Answer:
2x= 40°
5x= 100°
Step-by-step explanation:
2x on opposite angle because it is an isosceles triangle
2x+ 2x+ 5x = 180° (angles of a triangle)
9x= 180
x= 180/9
x= 20°
Sub
2(20)= 40°
5(20)= 100°
Answer:
C(x) = 7.5k + 2400 is the expense equation.
Step-by-step explanation:
The fixed cost per month = $2,400
Cost of producing each shoe = $7.5
Here, let k be the number of shoes produced per month .
So, the monthly expense
= Fixed Cost + (Number of shoes produced per month x Cost per shoe)
or, C(x) = $2,400 + ( k x $7.5)
or, C(x) = 7.5k + 2400 is the expense equation.
If the current ratio of red to blue to green socks is 2:3:7, then t<span>here are exactly 2x red socks, 3x blue socks and 7x green socks.
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1. If amount of red socks are increased by n new socks, then t<span>here are exactly 2x+n red socks, 3x blue socks and 7x green socks and (2x+n):3x:7x=8:9:21. This means that 2x+n=8y, 3x=9y, 7x=21y. You have that x=3y and 6y+n=8y, n=2y.
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2. If amount of blue socks are increased by n+2 new socks, then t<span>here are exactly 2x red socks, 3x+n+2 blue socks and 7x green socks and 2x:(3x+n+2):7x=2:4:7. This means that 2x=2t, 3x+n+2=4t, 7x=7t. Now you have that x=t and 3t+n+2=4t, n=t-2.
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</span><span>3. Solve x=3y, n=2y, x=t, n=t-2. You obtain that t=3y, t-2=2y. Then 3y-2=2y and y=2. Hence, x=6=t, n=6-2=4.
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</span><span>Answer: n=4
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That would be 1^2 + 20 , 2^2 + 20 and 3^2 + 20 (replacing n by 1 , 2 and 3)
= 21, 24 and 29 Answer
