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Firlakuza [10]
3 years ago
6

In RST, RS = 7, RT = 10, and ST = 8. Which angle of RST has the smallest measure?

Mathematics
1 answer:
yuradex [85]3 years ago
6 0
The larger the opening between two sides, the longer is its opposite side. Assuming ∠R is between RS and RT, its opposite is ST, ∠S is between RS and ST, its opposite is RT, ∠T is between ST and RT, its opposite is RS.

Thus, ∠T is the smallest angles because it has a corresponding smallest side.
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Sabrina read a total of 175 pages in 3 days. On the first day she read 45 pages. On the second and third days, she read the same
Artemon [7]

Answer: Sabrina read 65 pages on the second and third days

Step-by-step explanation:

45 + 2x = 175

45 - 45 + 2x = 175 -45

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A stadium has 50,000 seats. Seats sell for $28 in Section A, $24 in Section B, and $20 in Section C. The number of seats in Sect
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Answer:

Section A holds 25,000 seats, section B holds 14,500 seats and section C holds 10,500 seats.

Step-by-step explanation:

From the information given you can write the following equations:

A+B+C=50,000 (1)

28A+24B+20C=1,258,000 (2)

A=B+C (3)

A= number of seats in section A

B= number of seats in section B

C= number of seats in section C

You can replace (3) in (1) and (2) to get two equations:

B+C+B+C=50,000

2B+2C=50000

28(B+C)+24B+20C=1,258,000

28B+24B+28C+20C=1,258,000

52B+48C=1,258,000

The two equations are:

2B+2C=50000 (4)

52B+48C=1,258,000 (5)

You can isolate B in (4):

2B=50,000-2C

B=(50,000/2)-(2C/2)

B=25,000-C

Now, you can replace B in (5):

52(25,000-C)+48C=1,258,000

1,300,000-52C+48C=1,258,000

1,300,000-1,258,000=4C

42,000=4C

C=42,000/4

C=10,500

Now, you can replace the value of C in B=25,000-C:

B=25,000-10,500

B=14,500

Finally, you can replace the values of B and C in A=B+C to find A:

A=14,500+10,500

A=25,000

According to this, the answer is that section A holds 25,000 seats, section B holds 14,500 and section C holds 10,500.

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