Answer:
Option (2).
Step-by-step explanation:
This question is incomplete; here is the complete question and find the figure attached.
In the diagram of a circle O, what is the measure of ∠ABC?
27°
54°
108°
120°
m(minor arc
) = 126°
m(major arc
) = 234°
By the intersecting tangents theorem,
If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.
m∠ABC = ![\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%20%7Bmajor%20arc%7BAC%7D%29%7D-m%28%5Ctext%7Bminor%20arc%7D%20%7BAC%7D%29%5D)
= 
= 54°
Therefore, Option (2) will be the answer.
<u>Given</u><u> </u><u>:</u><u>-</u>
- To graph the line with slope 7 and y intercept -7.
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solution</u><u> </u><u>:</u><u>-</u>
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
y = mx + c
On putting the respective values ,
y = 7(x) + (-7)
y = 7x - 7
<u>For</u><u> </u><u>the</u><u> </u><u>graph</u><u> </u><u>see </u><u>attachment</u><u> </u><u>.</u>
Answer:
<b= 36 degrees, <c= 144 degrees
Step-by-step explanation:
144 and b are supplementary meaning they add up to 180.
144 and c are vertical angles meaning they are congruent.
Answer:
y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Step-by-step explanation:
Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.
Let flat rental fee be c and cost per mile driven = m and miles driven = x
Total cost =y
Then y = mx+C is the linear equation.
to find m and c, we use the fact that y =110.30 when x = 222
i.e. 110.30 = c+222x
and similarly 99.05 = c+147x
Subtract to eliminate c
11.25 = 75 x
0.15 =x
Substitute in I equation
110.30 = c+222(0.15)
c = 77
Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x
Answer and Explanation: The answer is in the 1st image, and the explanation is in the 2nd image.