Answer Standard form
Step-by-step explanation:
f(x)= -2x+1 {-2,0,2,4,6}
If x=-2, then -2(-2)+1 = 5
If x=0, then -2(0)+1 = 1
If x=2, then -2(2)+1 = -3
If x=4, then -2(4)+1 = -7
If x=6, then -2(6)+1 = -11
Answer:
B {5,1,-3,-7,-11}
Answer: 9 / 11
That is approximately 0.82
Explanation:
The ratio of two quantities x and y is x divided by y, i.e. the quotient x / y.
So, the ratio of Sylia's work time to Paul's work time is:
Sylvia's work time
---------------------------
Paul's work time
Given that you have the times in mixed units, hours and minutes, you must convert to one of the, either hours or minutes.
If you choose to work with hours, this is the work:
1) Silvia's time: 3 hours and 45 minutes = 3 hours + 45 / 60 hours = 3hours + 0.75 hours = 3.75 hours
2) Paul's work time: 4 hours and 35 minutes = 4 hours + 35/60 hours = 4 hours + 7/12 hours = (48+7)/12 = 55/12 hours ≈ 4.58 hours
3) Ratio:
Sylvia's work time 3.75 hours 3.75*12 45 9
------------------------- = --------------------- = ---------------- = -------- = -----
Paul's work time (55/12) hours 55 55 11
≈ 0.82
You can calculate the ratio using minutes and shall obtain the same result. Look:
1) 3 hours + 45 minutes = 3 * 60 minutes + 45 minutes = 180 minutes + 45 minutes = 225 minutes
2) 4 hours + 35 minutes = 4*60 minutes + 35 minutes = 240 minutes + 35 minutes = 275 minutes
3)
225 minutes 9
----------------- = ------, which is the same result obtained above.
275 minutes 11
<span>We already know that angles ECS and TRS are congruent, because they are both right angles (given). We also know that angles CSE and RST are congruent because they are vertical angles and vertical angles are always congruent. That gives us two sets of congruent angles. We just need to know something about one pair of sides to prove the two triangles congruent to each other. I do question the order of the letters in the names of the triangles--if that's really the order the letters are written in the problem, then we would need to know that ES is congruent to RT or that CS is congruent to ST. If the order of the letters of the names of the triangles is a little different we would need to know that CS is congruent to RS or that any of the other sides that appear to match are actually congruent. </span>
