5. If a = b, and b = c then a = c is the transitive property.
6. The converse is switching the order of the statement.
The answer would be If A <15, then a <10: true
7. You have RS + ST = RT
Using subtraction property solve for RS by subtracting ST from both sides to get: RS = RT-ST
8. The addition property would be adding the same thing to both sides:
So. If p=q, then p+s = q+s
9. Vertical angles are the same:
6x-22 = 4x+2
Subtract 4x from both sides:
2x-22 = 2
Add 22 to both sides:
2x = 24
Divide both sides by 2:
x = 12
Answer:
Matter in its gas state has the most thermal energy than when it is a solid or a liquid.
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
2x^3y+18xy-10x^2y-90y
= 2xy(x^2 + 9)- 10y(x^2 + 9)
= (x^2 + 9)(2xy - 10y)
= (x^2 + 9) 2y(x - 5)
= 2y (x^2 + 9) (x - 5)
200 because 156 is closer to 200 than 100
