Answer:
Step-by-step explanation:
option 1: x = 41
Reason:
<1 =139 { corresponding angles }
<2 = 180 - 139 = 41 ( <1 and <2 are linear pair}
x and <2 are corresponding angles.Hence x = 41
option 3 - <2 =<3 by vertical angles congruence
option 5 - <4 = <5by the alternate interior angles theorem
Using a scientific calculator:
log 12 = 1.079181246
Rounded to four decimal places:
log 12 = 1.0792
Characteristic: 1; Mantis: 0.0792
Answer: OPtion B. 1.0792; 1; 0.0792
10. Kim gets $7 per hour and gets charged $1 for gloves
Use y to represent her pay and x to represent hours worked.
The equation is y = 7x - 1 because she gets 7 times x hours and there is a minus 1 because of the charge of gloves.
11. The table shows that each increasing hour, 8$ is added. Therefore we need to find the bonus that Kit receives just for showing up. This is when hours equals 0. If 3 hours is 27$ pay, then 2 hours is 19$ pay, 1 hour is 11$ pay and 0 hours is 3$ pay. We find that there is a 3$ bonus just for showing up.
Therefore the equation is y = 8x + 3
12. At x = 0, y = 2 so the y-intercept is 2. The slope is going down 4 and right one which means the slope is -4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = -4x + 2
13. At x = 0, y = -3 so the y-intercept is -3. The slope is going up 1 and right 4 which means the slope is 1/4. The y-intercept is b and the slope is m. If we plug these values into the equation y = mx + b we get:
y = 1/4 x - 3
Since you are solving for S, you need to single it out. Do this by adding 3 to both sides which eliminates the -3 and adds 3 to -5 giving you -2. Now S = -2
