Write a system of equations for the following situation: A group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for the group was $59.

B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

Given that , a group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for thegroup was $59.

Let :-

Since the total number of people in group is 10 . Then ,

Now , the cost for an adult is $8 and for a child is $5. Hence ,

Hence our overall answer matches with second option .That is ,

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step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.