Answer:
140° and 50°
Step-by-step explanation:
The supplement of the angle (180 - x)
The complement of the angle = (90 - x)
(180 -x) = 4(90-x) - 60
180 - x = 360 -4x - 60
180 -x = 300 - 4x
180 - x + 4x = 300
180 + 3x = 300
3x = 120
x = 40
The supplement (180 - x) = 180 - 40 = 140°
The complement (90 - x) = 90 - 40 = 50°
Answer:
See below.
Step-by-step explanation:
<u>Tangent</u> segments drawn to a <u>circle</u> from a <u>point</u> outside that <u>circle</u> are <u>congruent</u>.
Answer:
5 days
Step-by-step explanation:
This problem is an inverse proportion case. Having two variables: number of workers and time (in days); when we increase the number of workers, the time needed decreases; vice versa. Therefore, we can use the multiplication method: (workers * time) will always stay constant.
Let's say the time (in days) needed by the eleven workers is t,
5*20 = (3*10) + (14*t)
100 = 30+14t
70 = 14t
5 = t
It will take the eleven-workers 5 more days to finish the road.
So, we have the two equations $4x+$360, and $10x+$6x. x represents how much members pay each day. The total number of visits when the cost for a member and nonmember is the same means we will have to set both equations equal to one another.
<span>$4x+$360=$10x+$6x </span>
<span>Combine like terms. </span>
<span>$4x+$360=$16x </span>
<span>Subtract $4x on both sides to balance out the equation. </span>
<span>$12x=$360 </span>
<span>Divide by $12.00 on each side. </span>
<span>x=30 visits </span>
<span>To check your work, plug in what x equals or 30 in the original equation. If you come up with a true statement, then you know your answer has to be correct. </span>
<span>4x+360=16x </span>
<span>4(30)+360=16(30) </span>
<span>120+360=480 </span>
<span>480=480 </span>
<span>Because this is a true statement, you can be certain that the total number of visits when the cost of a member and a nonmember will be the same is 30 visits. Hope I helped! Brainliest too please.</span>