Answer:
59
Step-by-step explanation:
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Answer:
- 40 popcorns and 90 pretzels sold.
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Let the number of popcorns is x and pretzels is y.
Set up equations:
- x + y = 130
- 2.5x + 2y = 280
Solve by elimination, multiply the first equation by 2 and subtract from the second equation:
- 2.5x + 2y - 2x - 2y = 280 - 2*130
- 0.5x = 280 - 260
- 0.5x = 20
- x = 20/0.5
- x = 40
Find y:
- 40 + y = 130
- y = 130 - 40
- y = 90
Answer: 4:5
Explanation:
Steve earns 8 dollars an hour. His brother earns 10 dollars an hour.
The ratio is Steve:Brother, which is 8:10.
This can be treated the same was as a fraction and simplified, dividing both sides by 2, which becomes 4:5
Answer:
Tyler currently does 40 squats
Step-by-step explanation:
Tyler does squats and pushups.
<u>Currently:</u>
Number of pushups = 25
Number of squats = x
Total number = 25 + x
<u>After increase:</u>
Number of pishups 
Number of squats 
Total number 
If Tyler meets his goal, he will do a total of 13 more squats and pushups than he does now, thus
Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
