15+8=23 23x3 is 69÷2= 34.5
5x - 3y + 1 = 16 ⇒ 10x - 6y + 2 = 16
2x + 5y + 0 = -6 ⇒ <u>10x + 25y + 0 = -6</u>
31y + 2 = 10
<u> -2 -2</u>
<u>31y</u> = <u>8</u>
31 31
y = 8/31
5x - 3(8/31) + 1 = 16
5x - 24/31 + 1 = 16
5x + 7/31 = 16
<u> -7/31 -7/31</u>
<u>5x</u> = <u>10 24/31</u>
5 5
x = 2 24/155
(x, y) = (2 24/155, 8/31)
Answer: B) m∠TPS = m∠RPQ
Step-by-step explanation:
Given that ΔPQR is similar to ΔPTS
We know that of two triangles are similar then their corresponding angles are equal in measure and corresponding sides are proportional.
Therefore, If ΔPQR is similar to ΔPTS, then
m∠TPS=m∠RPQ
m∠STP=m∠RQP
m∠PTS=m∠PQR
Therefore, from the given options, only B is the right options, i.e. m∠TPS = m∠RPQ
Answer: 1/2 minute
Step-by-step explanation:
1/6 page is multiplied by 6 to get 1 whole page, so you have to multiply the time 1/12 of a minute by 6 to get 1/2 minute.
1 hour = 4/5 gallon
8 gallon ÷ 4/5
= 8/1 × 5/4
= 40/4
= 10
the answer is A
