Hello!
I believe the answer is 58°.
Explanation: In order to find this answer, we must first add up the two numbers; 87+35. After adding, your solution should be 122. In order to be a triangle, all of the degrees must all add up to 180°. Next we must subtract 122 from 180. After subtracting, the answer is 58. Therefor your answer is 58°.
You need to find a scale factor of dilation (probably contraction) to make the replica.
Given that the units of the original painting are centimeters and the units of the sheet of paper are in inches, you have to convert one of the units.
I choose to covert inches to centimeters.
To do that, use the conversion factor 1 = 2.54 cm / inch
=> 8.5 in * [2.54 cm/in] = 21.59 cm
=> 11 in * [2.54 cm/in] = 27.94 cm
Now determine the scale factor to convert 77 cm to 27.94 cm and 53 cm to 21.59 cm. That just require use of division operation:
77 / 27.94 = 2.76
53 / 21.59 = 2.45
Then the higher scale factor is the relevant one, and you have to reduce the original painting by a factor of (1 / 2.76) which will lead to fit in the sheet of paper.
His total gross annual income is $560.16
Answer: A = 317
B = 61
Step-by-step explanation:
The following equation can be gotten from the question given. This will be:
A + B = 379 ........ i
A - B = 255 ........ ii
From equation i, make A the subject of the formula
A = 379 - B ...... iii
Put the value of A in iii into equation ii
A - B = 255
(379 - B) - B = 255
379 - B - B = 255
379 - 2B = 255
2B = 379-255
2B = 124
B = 124/2
B = 62 tons
Since A + B = 379
A + 62 = 379
A = 379 - 62
A = 317 tons
I can't seem to find answers for #1-3 but I found the answer for #7, a common track is 400 meters, so I split that into thirds which equals 133.333333 meters, then I split a minute into quarters which equals 15 seconds so she is running 133.333333 meters every 15 seconds. So the answer is 45 seconds is all it takes her to run 400 meters.
I hope this helps.
