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Answer:
The subtraction property of equality
Option A is correct
Explanation:
The given equation is:
12 - x = 7x + 32
Subtract 12 from both sides
12 - 12 - x = 7x + 32 - 12
-x = 7x + 20 (Step 1)
From step 1 above, subtract 7x from both sides
-x - 7x = 7x - 7x + 20
-8x = 20 (Step 2)
Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality
Answer:
91
Step-by-step explanation:
Two similar polygons, means a similarity would exist in both polygons
- Perimeter of a rectangle = 2(l +w)
- Perimeter of the larger rectangle = 36 (because it's the largest figure)
- equation becomes 36 = 2(L + W)
- since L = 14, it becomes = 36 = 2(14 +W)
- 36 = 28 + 2W
- 2W = 36 - 28 = 2w = 8
Now we assume that since the rectangles are similar, they would have similar dimensions, in this case Width. so with this, we find length of smaller rectangle.
- 21 = 2(L + 4) = 21 = 2L + 8
lastly the product of the length of both polygons = 14 * 6.5 = 91.
Their Products length is 91
11. Take the logarithm, base X.
a² - ab = 10
Since we are given that b = a - 2, we can substitute for b to get
a² - a(a -2) = 10
a² - a² + 2a = 10 . . . . . eliminate parentheses
a = 5 . . . . . . . . . . . . . . simplify, divide by 2
_____
Check: a² = 5² = 25
ab = 5·3 = 15
X^25/X^15 = X^10 . . . . . the answer works
