Answer:
x° = 37°
Step-by-step explanation:
* Lets revise some facts of a circle
- The secant is a line intersect the circle in two points
- If two secants intersect each other in a point outside the circle,
then the measure of the angle between them is half the difference
of the measures of their intercepted arcs
* Now lets solve the problem
- There is a circle
- Two secants of this circle intersect each other in a point outside
the circle
∴ The measure of the angle between them = 1/2 the difference of the
measures of their intercepted arcs
∵ The measure of the angle between them is x°
∵ The measures of their intercepted arcs are 26° and 100°
- Use the rule above to find x
∴ x° = 1/2 [ measure of the large arc - measure of small arc]
∵ The measure of the large arc is 100°
∵ The measure of the small arc is 26°
∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°
∴ x° = 37°
24=7/8g
divided by 7/8 divided by 7/8
24*8/7=g
192/7=g
27 3/7=g
The answer is D. 27 3/7
<span>Let Ah be Annie's hour of travel in 1 day and Bh be
Brian's hour
to get Brian's hour of travel:
Ah + Bh = 20
5 (Bh +2 ) + Bh= 20
5 Bh + 10 + Bh=20
6 Bh = 20 - 10
<u>6Bh</u> = <u>10</u>
6 6</span>
Bh =1.66
To get Ah of travel 1 day
Ah = 5 (Bh + 2)
<span> = 5 (1.66 +
2) </span>
<span>
= 5 ( 3.66 )</span>
Ah = 18.30
Checking:
Ah + Bh =20
<span>
18.30 + 1.66 = 20
</span><span>19.96 = 20</span>
<span>
20 = 20</span>
(19.96 is rounded off)
The answer to the question is
D. 1/2
