Answer:
4. Corresponding angles of congruent triangles. ( Angle)
5. Common side. (Side)
6. From 1, 4, and 5. (SAS axiom)
Step-by-step explanation:
Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.
Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
7.2-17.4 -6
m = --------------- = ----------- or -3/5.
23-6 10
Find the equation of the line. I'm going to use the slope-intercept formula:
y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.
Now we know that y = (-3/5)x + 21
Let x=11 to predict the height of the candle at that time.
y = (-3/5)(11) + 21 = 14.4 inches (answer)
P3(4) = p12 them p12 * p8 = P160 (false)
Answer:
36 oz
Step-by-step explanation:
Get the other options down to 12oz units for their price and then you can compare which one is the cheapest for 12oz.
12oz = $1.99
36oz/3 = 12oz so $2.59/3 = $ .86
48oz/4= 12oz so $3.99/4 = $1.00
60oz/5= 12oz so $4.59/5 = $ .92
So looking at the breakdown, the 36oz one is the cheapest because for that price for a third of it comes out to .86 cents.
Answer:
One solution, x = 8/9
Step-by-step explanation:
One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.
4x + 12 = -y
4x + 12 = -(5(x-4)) <--- substitution here
4x + 12 = -5(x-4)
4x + 12 = -5x + 20 <-- simplifying
4x + 5x = 20 - 12
9x = 8
x = 8/9
