Lacey is attending a university where the cost for one year is $10,500. She has a scholarship worth $6,000 and a grant worth $90
1 answer:
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The correct answers are Losing 12; Winning 15
Explanation:
The ratio of winning to losing is 5: 6 or 5/6. This means for every 5 winning spaces in the wheel there are 6 losing spaces. This ration should be used to complete the values of the table.
1. The first row shows there are 10 winning and you need to calculate the number of losing spaces. The process is shown below.
- Express the ratios using fractions; use x to show the missing value
- Cross multiply to find the value of x
- Solve the equation to find x
- The number of losing is 12 if there are 10 winning spaces
2. The second row shows there are 18 losing spaces, and you need to calculate the number of winning spaces. Repeat the process.
- The number of winning spaces is 15 if there are 18 losing spaces
The symmetric property of congruence states that if a quantity, say, A is congruent to a quantity, say B, then, the quantity B is congruent to the quantity A.
Mathematically, this statement of the symmetric property of congruence can be written as:
If , then
.
Applying this symmetric property of congruence to the question that we are given, we see that only Option D fulfills the conditions of the definition of the property of congruence as Option D clearly states that:
If , then
which is the exact statement of the symmetric property of congruence when applied to triangles.
Thus, Option D is the correct option.