Answer:
Step-by-step explanation:
Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.
Arc LK = 80
157 degrees ... set 4x-5 = x+16 then solve, you should get x=7, plug in 7 for one of the equations and you'll get 23. subtract 23 from 180 and get 157. hope that helped :)
I hope this helps you
-7.x^3=2.7.9
x^3=-18
x=i.(3square root of 18)
I hope this helps you
13x-11x=-25-15
2x=-40
x=-20
5t-5t=7+5
0=12 false
1. We assume, that the number 118 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 118 is 100%, so we can write it down as 118=100%. </span>
<span>4. We know, that x is 47% of the output value, so we can write it down as x=47%. </span>
5. Now we have two simple equations:
1) 118=100%
2) x=47%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
118/x=100%/47%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 47% of 118
118/x=100/47
<span>(118/x)*x=(100/47)*x - </span>we multiply both sides of the equation by x
<span>118=2.12765957447*x - </span>we divide both sides of the equation by (2.12765957447) to get x
<span>118/2.12765957447=x </span>
<span>55.46=x </span>
x=55.46
<span>now we have: </span>
<span>47% of 118=55.46</span>
