Answer:
Value of y = 7
Step-by-step explanation:
By the midpoint theorem of the triangles,
"Segment joining midpoints of the two sides of a triangle is parallel to the third side and measure half the length of the third side."
Therefore, from the figure attached,
In ΔFGH,
J and K are the mid points of the two sides GH and FH.
By theorem, segment JK║GF and m(JK) = 
(5y + 3) = 2(2y + 5)
5y + 3 = 4y + 10
5y - 4y = 10 - 3
y = 7
Hey there!
The biggest side in the set of 3 lengths needs to be lower than the sum of the two lower numbers. So 3 is not lower than 1+1. 10 is not less than 3+4. 5 is the same as 3+2. This is not possible because this makes a line. So the biggest side can’t equal the sum of the two lower sides. 10 is less than 5+9. So the answer would be the last one. 10 cm, 5 cm, 9 cm.
I hope this helps!
A)
well, we know the elevator's rate is -20 f/s, ok, so every second, is dropping 20 feet, therefore, "y" is "distance from the ground floor", so when y = 0, meaning the distance to the ground floor is 0, so you ARE at the ground floor then.
and "x" is how many seconds you've been in the elevator.
now, she got in the elevator for 6 seconds, so, the elevator went down by 20 * 6, or 120 feet down, reason why the slope is negative, when she stopped, she was 350 feet away from the ground floor still though.
if the elevator went down 120 feet, and she's still 350 feet from the ground floor, that means she boarded the elevator at 120 + 350 feet, or 470 feet.
b)
Answer:
The weighted average is of 69.94.
Step-by-step explanation:
Weighted average:
The weighed average is found multiplying each grade by its respective weight.
The grades, and weights are:
67 on the lab, with a weight of 23% = 0.23
69 on the first major test, with a weight is 21.5% = 0.215
85 on the second major test, with a weight is 21.5% = 0.215.
63 on the final exam, with a weight of 34% = 0.34.
Weighted average:
The weighted average is of 69.94.
