X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
We are given with the function of r (x) that represents the revenue or the total sales of the company and e(x) which represents the expenses of the company. Profit, p(x), is expressed as the difference between the revenue and the sales. The answer to this problem is B.
Angle 1 equals angle 5. I think the theorem is Alternate interiors?
Answer:
(b) 0.30 atm
Step-by-step explanation:
Given data
Initial pressure= 1.2atm
Initial volume= 1.0L
Final volume= 4.0L
Final pressure= ???
Let us apply the gas formula to find the Final pressure
P1V1= P2V2
Substitute
1.2*1= x*4
Divide both sides by 4
1.2/4= x
x= 0.3atm
Hence the final pressure is 0.3 atm
Answer:
4
Step-by-step explanation:
gcf(432,320,228)=gcf(gcf(432,320),228)
432=320(1)+112
320=112(2)+96
112=96(1)+16
96=16(6)
So the gcf(432,320)=16.
So now we need to find gcf(16,228)
228=16(14)+4
16=4(4)
Therefore,
gcf(432,320, 228)
=gcf(gcf(432,320),228)
=gcf(16, 228)=4
===================================
432=4(108)=4(2)(54)
=4(2)(6)(9)=2(2)(2)(2)(3)(3)(3)
320=4(80)=4(2)(40)=2(2)(2)(4)(10)
=2(2)(2)(2)(2)(2)(5)
228=4(57)=2(3)(38)=2(2)(3)(19)
All three of them have 2*2 in commom, so the greatest common factor is 4.
