Answer:
linear function: y = -7x + 150
Step-by-step explanation:
Scott's situation represents a linear function because he is spending $7 each day on lunch. His initial amount in his bank account is $150 and each day he spends the same rate on lunch, $7. So, for any amount of days - represented by 'x' in the equation, you would multiply by -7 (since he is spending) and subtract this amount from his original amount of $150. In this equation, 'y' is equal to his total after 'x' amount of days.
9514 1404 393
Answer:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Step-by-step explanation:
Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.
Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.
Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.
In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.
In summary:
- 52°: angles 4, 13, 18
- 128°: angles 1, 3, 14, 17
- 44°: angles 5, 12, 15
- 136°: angles 2, 6, 11, 16
- 84°: angles 7, 10
- 96°: angles 8, 9
Answer:
This is your answer ☺️☺️☺️
Answer:
15 girls, 10 boys
Step-by-step explanation:
Since the ratio is 3:2, then the ratio can be rewritten as 15:10. So there are 15 girls and 10 boys
It wants you to find how much money you will spend a year at each separate gym. That way you can find out which one is cheaper. Once you’ve done that, you need to find how many days it would take for both gym’s cost to be the same after so many days.
