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Bumek [7]
2 years ago
11

Sara watched the pump at the gas station dispense gas at a rate of ½ gallon every 3 ¼ seconds. How long will it take, in seconds

, to put 50 gallons of gas in the RV? Justify your reasoning by using the UNIT RATE
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
4 0
Let us start with the time it takes for 1 gallon of gas to be dispensed. If ½ gallon takes 3 ¼ seconds, it will take double of that time for one gallon of gas. Double of 3 <span>¼</span> seconds is 6 1/8 seconds. Unit rate is 1 gallon of gas at every 6 1/8 seconds If one gallon of gas takes 6 1/8 seconds, 50 gallons will take 50 x 6 1/8 seconds. That is, 325 seconds or 5 minutes ans and 25 seconds.
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In the diagram below, we have ST parallel to QR. angle P= 40 degrees, and angle Q= 35 degrees. Find the measure of angles STR in
Drupady [299]

Answer:

m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ

Step-by-step explanation:

<u>Similar Triangles</u>

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

m\angle P + m\angle Q + m\angle R = 180^\circ

Substituting the known values:

40^\circ + 35^\circ + m\angle R = 180^\circ

Solving for R:

m\angle R = 180^\circ - 40^\circ - 35^\circ

m\angle R = 105^\circ

Angles S and Q are congruent, thus

m\angle S = 35^\circ

Angles T and R are congruent, thus

m\angle T = 105^\circ

Summarizing:

\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}

7 0
3 years ago
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