We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.
First, because 13x-85 and 97 are across from each other like that, you know that they are equal to each other. If you solve, you know that x is equal to 14. Then, you know that all the angles must equal 360 degrees. If you add 97 and 97 together, you get 194. Now, subtract that by 360, and you get the remaining degrees of the other two angles. Then, divide that by two, and z equals 83. Hope this helped!
Answer:
C. 52.5
Step-by-step explanation:
The total from W(-20) to Z(120) is 140.
You can add up all of the numbers in the ratio, 2:3:3, to get 8
Divide 140 by 8 to get 17.5
Multiply 17.5 times the number in the ratio for each segment, so the new ratio would be 35 : 52.5 : 52.5
Since you are trying to find segment XY, which was the 2nd number in the ratio, you would get your answer as 52.5
Answer:
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Suppose that the exponential growth function is y = 4^x.
If x = 1, then y = 4^1 = 4.
If x = 3, then y = 4^3 = 64.
Let the initial value be 1/2.
The growth function is now y = 1/2 * 4^x.
If x =1, then y = 2 which is half of the y value before adding the 1/2.
If x = 3, then y = 1/2 * 64 = 32.
Answer: 1/2
