Answer:
day 540
Step-by-step explanation:
He increases his number of situps by 2 each day meaning on day 1 he'd do 2 extra, on day 2 he'd do 4 extra, on day he'd do 6 extra etc. We can show this by saying +2x where x is the day he is on. Then since he started with 20 we have to add 20 so it would be 20+2x. We want to know what day it is when he does 1100 situps so we can set our equation equal to 1100 and solve for X which is the day it would be.
20+2x=1100
2x=1080
I hope this helps and please don't hesitate to ask if there is anything still unclear!
x=540
Answer:
A. 0.009899
B. 0.005624
Step-by-step explanation:
Data:
Let the probability that an item is defective = 
The probability that the item is not defective = 
The probability that the fifth item is defective = 
= 0.009899
Probability that one in 5 items is defective = 0.005624
Answer:
-31/6
Step-by-step explanation:
77+2(3x-5)=8-3(2x+1)
77+6x-10=8-6x-3
77-10+6x=8-3-6x
67+6x=5-6x
67+6x-(-6x)=5
67+6x+6x=5
67+12x=5
12x=5-67
12x=-62
x=-62/12
simplify
x=-31/6
Answer:
A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Step-by-step explanation:A landscape architect recommends installing a triangular statue with
vertices at (10, −10), (10, −8), and (7, −10).
a. Is the triangle congruent to triangle T ? Justify your answer.
b. Propose a series of rigid motions that justifies your answer to part a.
6. Another landscape architect recommends installing a triangular statue
Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.
<u>Step-by-step explanation:</u>
As given by the statement in the problem,
Q may be the middle point, which cut the diagonal PA into 2 equal halves.
In rhombus, diagonals meet at right angles.
which means that PQ = QA
x+2 = 3x - 14
Grouping the terms, we will get,
3x -x = 14+ 2
2x = 16
dividing by 2 on both sides, we will get,
x = 16/2 = 8
8+2 = 3(8) - 14 = 10 = PQ or QA
