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Bess [88]
3 years ago
12

Solve for x. The triangles are similar.

Mathematics
2 answers:
erica [24]3 years ago
6 0

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: \frac{SE}{GE} = \frac{RE}{FE} . Plugging in the numbers from the diagram, we get \frac{45}{12x-3} = \frac{55}{143} . Using cross multiplication, we get the following equation:

45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10

Our final answer is D. 10

Serjik [45]3 years ago
5 0

Answer:

\fbox {D. 10}

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

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7 0
4 years ago
A jar contains n nickels and d dimes. There is a total of 236 coins in the jar. The value of the coins is $15.75. How many nicke
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The total if all 236 coins were nickels would be $11.80, which is $3.95 short of the actual amount.

Replacing a nickel with a dime adds $0.05 to the total value, so there must have been $3.95/$0.05 = 79 such replacements.

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_____

Using the given variables, the problem statement gives rise to two equations. One is the based on the number of coins. The other is based on their value.

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Solving the first for n, we get

... n = 236 - d

Substituting that into the second equation, we have

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... .05d = 15.75 -236·.05 . . . . . collect terms, subtract .05·236

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___

The solution should look familiar, as it matches the verbal description at the beginning.

6 0
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