Jerome drew a triangle with vertices S, T and U. He things angles TSU and angles TUS are congruent. How can Jerome show that the angles are congruent without measuring the angles?

Final answer:

The bank has 15 quarters and 12 dimes.

Explanation:

This problem can be solved using systems of equations. Let's define the variables: let D represent the number of dimes and Q represent the number of quarters.

From the problem, we have two equations:

• D + Q = 27 (the total number of coins)
• 0.10D + 0.25Q = 4.95 (the total value of the coins)

Multiply the first equation by 0.10 to make the coefficients of D the same in both equations:

• 0.10D + 0.10Q = 2.70

Subtract this from the second equation to find Q:

• 0.15Q = 2.25. Consequently, Q = 15 quarters.

Substitute Q = 15 into the first equation to find D:

• D + 15 = 27, hence D = 12 dimes.

Learn more about Systems of Equations here:

brainly.com/question/35467992

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Answer:

Addition and multiplication are both commutative. Subtraction, division, and composition of functions are not. For example, 5 + 6 = 6 + 5 but 5 – 6 ≠ 6 – 5. More: Commutativity isn't just a property of an operation alone.

Step-by-step explanation:

Oscar raises $69.75 because $23.25 multiplied by 3 equals $69.75.

Hope that helped:)