I got you :-) I love proofs, This one looked hard at first but ended up being a lot easier then I thought. It is easy to overthink these. Ok, so first, set up your proof statements to reasons etc. Write down the given information and there are only 2 additional steps. You must say that DA congruent to DA because they are the same side. Now, if you notice, your two triangles DAE and ABD have 2 sides that are congruent because they are given and the third side is the same. You now have SSS in which allows you to say that DAE is congruent to ABD.
ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line.
Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Step-by-step explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16
(4m-4)^2
<span>= (4m)^2 - 2.4m.4 + 4^2 </span>
<span>= 16m^2 - 32m + 16</span>
