Answer:
1. ∠LOQ = 80°
2. ∠LRQ = 40°
3. ∠LBQ = 40°
Step-by-step explanation:
- The measure of a central angle (angle that goes to the center of the circle) is EQUAL to the ARC from which it is intercepted.
- The measure of the angle that is on opposite side, on the circumference, of the circle is HALF of the ARC from which it is intercepted.
It is given that ARC QL has a measure of 80.
- Central angle from ARC QL (with same measure) are angle LOQ only.
- Opposite angles (half of measure of ARC QL) from ARC QL (on opposite side on circumference) are angles LRQ and LBQ.
<u>1.</u>
m∠LOQ: ∠LOQ is the central angle from ARC QL so it has SAME MEASURE.
∠LOQ = 80°
<u>2.</u>
m∠LRQ: ∠LRQ is the opposite angle from ARC QL so it is HALF of ARC QL.
∠LRQ = 
∠LRQ = 40°
<u>3.</u>
m∠LBQ: ∠LBQ is also another opposite angle from ARC QL so it is HALF of ARC QL as well.
∠LBQ =
∠LBQ = 40°
The percent change of 13.7 to 40.2 is 193.4%
To find percentage change, you need to find the difference between the two numbers. In this case, 26.5.
You then divide 26.5 by 13.7 and move the decimal point two spaces to the right.
Interquartile range of the old set = 76 - 72 = 4
Interquartile range of the new set = 76 - 73 = 3
IQR of new est < old set.
Answer:
x=1 y=14
multiply x-y=-13 by 3 so the x would cancel out. solve for y
then plug in y to one of the equations to get x
To do this you have to divide 3/4 by 1/6. To do this multiply 3/4 by the reciprocal of 1/6. The reciprocal of 1/6 is 6/1. So you have to multiply 3/4 and 6/1. This will give you 18/4. You now simplify it to 4 2/4, which can be simplified even more to 4 1/2. It will take Trevor 4 1/2 days to paint 3/4 of the fence.
BTW- In case you are wondering how long it'll would take him to paint the entire fence, it would be 6 days.
