Answer:
O is the center of the circle with radius IE(=ID=EF)
Step-by-step explanation:
Join all 3 points D, E, F, forming the triangle DEF.
Let the midpoint of EF be M and the midpoint of ED be N. (first picture)
Join point I to E, D and F.
Since IN is both an altitude and median to triangle EID, then triangle EID is an isosceles triangle, and IE=ID
similarly, we see that IE=IF.
conclusion: IE=ID=EF.
Answer: 5
Step-by-step explanation:
1. You have the following expression given in the problem above:

2. You can estimate the result by rounding the numerator and the denominator.
3. As you can see, you can round up 97.5 to 100.
4. Then, you can round up 1.96 to 2.
5. Therefore, you have:

6. Therefore, the result is 5.
Answer:
377/3
Step-by-step explanation:
In general if we have a fraction ( mixed) as ,
Then the improper fraction will be ,
<u>Improper</u><u> fraction</u><u> </u><u>:</u><u>-</u><u> </u>
Using this concept we have ,
→ 125 ⅔
→ 125 × 3 + 2 / 3
→ 375 + 2/3
→ 377/3
<h3>
Hence the simplified form of the expression is 377/3 .</h3>
It takes 1.5 hours for 4 workers to paint the same room
<em><u>Solution:</u></em>
Given that 3 workers can paint a room in 2 hours
To find: Time taken for 4 workers to paint the same room
Assume the time needed to paint the room is inversely proportional to the number of worker

Where, "k" is the constant of proportionality
<em><u>3 workers can paint a room in 2 hours</u></em>
Substitute number of workers = 3 and time = 2 hours

Therefore,

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

Thus it takes 1.5 hours for 4 workers to paint the same room
Answer:
XV = 4.75
Step-by-step explanation:
TV/WV = UV/XV (similarity theorem)
TW = 9
WV = 3
UV = 19
TV = 9 + 3 = 12
XV = ?
Plug in the values
12/3 = 19/XV
4 = 19/XV
XV × 4 = 19
XV = 19/4
XV = 4.75