A and D are your answers.
They have an Infinite number of solutions because when the equations are put into slope-intercept form (y=mx+b), they end up having the same slope (m) and the same y-intercept (b).
Answer: You can put this solution on YOUR website!
let's call the number of adults a and the number of children c.
so the total adults plus the total children equals 40 or a+c=40 or c=40-a
also we know that 8a+5c=272
substituting c's value in the 1st equation into the 2nd equation we get
8a+5(40-a)=272---->lets distribute that left side---->8a+200-5a=272
now let's combine like terms on either side of the equals sign.
3a=72 a=24
so we have highlight%2824-adults%29
and c=40-a(24)=highlight%2816-children%29
Answer:
a) SAS
b) Volume of DEF is 4 times the Volume of ABC
Step-by-step explanation:
a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.
40/20 = 30/15 = 2
Therefore Δ ABC is similar to Δ DEF
b) Volume of a prism
= base area × height
Let height be 'h cm'
With Base ABC:
Volume = ½×20×15×h = 150h cm³
With Base DEF:
Volume = ½×40×30×h = 600h cm³
600h/150h = 4
Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC
The answer is c=11 and t=11.75 :)
Here’s the explanation of why and why it is correct
Answer:
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Step-by-step explanation:
