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Goshia [24]
3 years ago
15

If ∠1 and ∠2 are equal, why are lines l and m are parallel.

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0
The answer is D, the alternate exterior angles theorem.

Alternate, because the two angles are on opposite sides of line t.
Exterior, because both angles are outside of the parallel lines.

Therefore, alternate exterior angles theorem.
Scorpion4ik [409]3 years ago
3 0

Answer:

the answer is D (alternate exterior angles theorem)

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sineoko [7]

Answer:

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Liters of 60% acid solution needed = 10

x = Number of liters of the 50% solution

y = Number of liters of the 90% solution

2. Which equation represents the total liters of acid that are needed?

There are two equations needed:

The first one related to the total liters needed, 10 in this case:

x + y = 10

The second one related to the acid concentration of the 10 liters:

0.5x + 0.9y = 10 * 0.6

0.5x + 0.9y = 6

<u>The equations system is:</u>

<u>x + y = 10</u>

<u>0.5x + 0.9y = 6</u>

Solving for x and y in the 2nd equation, we have:

0.5 (10 - y) + 0.9y = 6

5 - 0.5y + 0.9y = 6

0.4y = 6 - 5

0.4y = 1

y = 1/0.4 = 2.5 ⇒ x = 7.5 (10 - 2.5)

The scientist can mix 7.5 liters of the 50% acid solution and 2.5 liters of the 90% acid solution to get the 10 liters of the 60% acid solution.

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