I assume that 0.53 with a bar means the decimal fraction in which 3 is repeating.
24/45, 8/15, and 48/90 all result in the same decimal value. Thus, we are simply looking for the one that is fully simplified.
The correct answer is 8/15.
Hope this helps!
Solution:
<u>Convert the fractions into improper fractions and solve.</u>
- 9 1/2 ÷ 3 7/10
- => 19/2 ÷ 37/10
- => 19/2 x 10/37
- => 19 x 5/37
- => 95/37
<u>Convert the fraction into mixed fraction (Not required):</u>
- => 95/37 = 37/37 + 37/37 + 21/37
- => 1 + 1 + 21/37
- => 2 + 21/37
- => 2 21/37
The solution to the problem is 2 21/37.
I’d say option 4
However, one may think option 3 might be possible as well. But that it is not interacting, it’s affecting.
So I’d stick with option 4.
Good luck!
Answer:
adjacent and supplementary
Step-by-step explanation:
∠ 1 and ∠ 2 are next to each other, that is adjacent.
∠ 1 and ∠ 2 form a straight angle and are supplementary.
Short Answer: arc LM = 110°
Comment
Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case down ) are equal. This is a fundamental fact about circles.
Equation
2x + 55 = x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.
Conclusion
Both angles = 55
But that's not what you are asked for.
What you are asked for
You want to know the measure of arc LM.
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of arc LM
Draw a dot where the center of the circle is and call it O. Draw in <MOL
<MOL = 2* either of the 55° = 2 (<LKM) = 2 * 55 = 110° That's a property of the central angle.
The measure of arc LM = 110°
