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zubka84 [21]
2 years ago
7

Please help! I need help with this multiple choice question, thank you.

Mathematics
1 answer:
coldgirl [10]2 years ago
7 0

Answer:

A. SAS B. SSS C. AAS D. ASA

Step-by-step explanation:

A: Line segments AE and EB are congruent and line segments CE and ED are also congruent. The Angles in between line segments AE and EB and line segments CE and ED are congruent to each other

B: Line segments QT and TS are congruent. Line segments QR and RS are congruent. Both triangles share line segment TR

C: Angles A and B are congruent. Angles D1 and D2 are congruent. Line segment CD is shared between both triangles.

D: Angles C1 and C2 are congruent. Angles B1 and B2 are congruent. Line segment CB is shared between the two triangles.

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Set up a system of equations.

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Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

Distribute 0.10:

-0.10q + 25 + 0.25q = 39.25

Combine like terms:

0.15q + 25 = 39.25

Subtract 25 to both sides:

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Divide 0.15 to both sides:

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d + 95 = 250

Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.
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