Write it as a fraction
11x + 32
X + 3
The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
- The time spent on doing the homework is 15 minutes.
- The time spent watching television is 3 hours.
- To calculate the ratio, we must have the same units for both quantities.
- We have to convert the time spent watching television from hours to minutes.
- 1 hour is 60 minutes.
- 3 hours has 3*60 minutes.
- 3 hours have 180 minutes.
- So, the time spent watching television is 180 minutes.
- The ratio of the amount of time spent doing homework to the amount of time spent watching TV is 15/180.
- We need to simplify the fraction.
- 15/180 is equal to 1/12.
- Thus, the ratio of the amount of time spent doing homework to the amount of time spent watching TV is 1/12.
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The composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.
<h3>What is translation?</h3>
A translation can be explained as the movement of a shape in a direction which could be up, down but the appearance of the figure remain unchanged in any other way.
And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.
Hence, composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.
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Answer:
The area of the triangle is of 21 units of area.
Step-by-step explanation:
The area of a triangle with three vertices
is given by the determinant of the following matrix:

In this question:
Vertices (3,0) (9,0) (7,6). So




The area of the triangle is of 21 units of area.