Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°
First, you need to find the average rate of change (the number of bolts produced per minute). To do this you divide 440 by 48, which equals approximately 9.16; therefore, the machine produces approximately 9.16 bolts per minute. To find out how many bolts would be produced in 30 minutes, multiply 9.16 by 30, which is 274.8. Round this number and you get 275 as your final answer. I hope I helped :)
You can usually translate below to mean the number is minus or at least smaller than something else. In this case it is minus. So the answer is found as
535 - - 8 = 543 feet. The first minus sign means difference and the second means below sea level. (535 is feet above sea level). This is one of those cases where it makes sense to say that a minus times a minus is a plus.
Let's try this a slightly different way. Suppose there is a hill above a gully. The hill is 30 feet above the gully. The gully has a bottom that is 8 feet below where the hill begins. If you wanted to walk from the top of the hill to the bottom of the gully, how far would you have to go? Never mind all the plus and minus stuff. Just draw the picture, and see what happens. Or imagine you are doing the walking.
Wouldn't you have to go 30 + 8 feet? Isnt' that 38 feet? Same with your Louisiana problem. It (the Louisiana problem) is just more mathematical. And getting two minus signs to equal a plus is no easy trick.
Be sure you understand the answer to this problem. It is one of the cornerstone's of Algebra.
Answer:
i think the answer is D
Step-by-step explanation:
i hope this helps and i am so sorry if it is wrong