marcos had 1 1/3 gallons of punch left over. He poured all of it into several containers for family members to take home. use fr
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First of all, we have to observe this triangles separated by the height. These small and big triangles are similar according to the Angle-Angle-Angle principle.
a. We can find all of these length using the cosine of the angle, Pythagoras theorem and the principle of the similarity of triangles.
b. According to the cosine of the angle we can write that, cosθ = 12/a = 5/13 and from here a = 31.2. After finding that using Pythagoras theorem, we can write that . According to the similarity of the triangles, we can write that 31.2/d = 28.8/12 and d = 13. Applying Pythagoras theorem we find that c = 5.
c. We already gave the answer for this question in part b
Answer:
Step-by-step explanation:
Let x be the number of helium balloons they can buy
- Write it out: 35 + 3.50x = 125
- Subtract 35 from each side, so it now looks like this: 3.50x = 90
- Divide each side by 3.50 to cancel out the 3.50 next to x. It should now look like this: x =
I hope this helps!