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ValentinkaMS [17]
3 years ago
7

Explain in full, is this congruent, not congruent, or not enough information?

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
It’s congruent. The line OL is shared which means it’s congruent for both triangles and since ON is congruent to ED, EN and OD have to be congruent.
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Andy has 31 coins made up of quarters and half dollars, and their total value is $11.00. How many quarters does he have?
charle [14.2K]

Answer:

4

Step-by-step explanation:

This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.

  • h+q=31 is an equation representing the total number of coins
  • 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.

We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.

0.50(31-q)+0.25q=11

15.5-0.50q+0.25q=11

15.5-0.25q=11

After simplifying, we subtract 15.5 across and divide by the coefficient of q.

-0.25q=-4.5

q=4

We now know of the 31 coins that 4 are quarters.

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72 - 64 = 8 ft^3.

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Approximate the real zeros of x^4-5x^3+6x^2-x-2 to the nearest tenth. a. 0.4, c. 4, 3.4 b. , 3.4 d. -4, 3.4
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Answer:

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Step-by-step explanation:

5 0
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