The answer
X'Y' and XY are parallels, measX'Y'T = measXYT, there is similarity between the two triangles, we can find YT by using theorem of thales,
it is TY' / TY =TX' / TX =X'Y' /XY, so TY' / TY = TX' / TX = 9/ TY =6/ 2+6=6/8
and then 9/ TY = 6/8 therefore TY= 12
Answer: New balance would be - $43.35
Explanation: -12.79 - 30.56 = -43.35
If the prize table takes a break every 20 minutes it should eventually get a break in an hour
The refreshment table get a break every 30 minutes so it will take a second break in an hour
At 60 minutes they will be able to have a break together
Answer: there were 345 pieces of chocolate in the box.
Step-by-step explanation:
Let x represent the number of pieces of chocolate there in the box.
0.55 of a box of chocolate are dark chocolate. This means that the number of dark chocolate in the box is 0.55x
0.3 are milk chocolate. This means that the number of milk chocolate in the box is 0.3x
The rest are white chocolate. This means that the number of white chocolate in the box is x(1 - 0.55 - 0.3) = 0.15x
There are 138 pieces more dark chocolate than white chocolate. This means that
0.55x - 0.15x = 138
0.4x = 138
x = 138/0.4
x = 345
Answer:
A. -1
Step-by-step explanat
y intercept: x=0
f(x) = -1 * (2/3)ˣ = -1 * (2/3)⁰ = -1 * 1 = -1
