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Snowcat [4.5K]
2 years ago
10

Ricardo has 2 cases of video games With the same number of games in each case.He gives 4 games to his brother. Ricardo has 10 ga

mes left.
How many video games were in each case?​
Mathematics
1 answer:
son4ous [18]2 years ago
8 0

7 video games were in each case.

Step-by-step explanation:

-So, Ricardo has 2 cases of video games with the same amount of games per case.

-He gives 4 games to his brother and is left off with 10 games.

Add 10+4 to get the total amount of games.

Since there are 2 cases, divide the total amount of games (14) by the total amount of video game cases.

This gets us 7, which is the starting amount of video games in each case.

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Answer:

1. B. ∠2 and ∠6

2. 50°

3. Option 1, Option 5, and Option 6.

4. 133°

<u>Work for question 4:</u>

180°-47° = 133°

Step-by-step explanation:

1.

Alternate means the angles are on different sides of the transversal (horizontal line in this case). Interior means they are between the parallel lines (lines a and b in this case). (∠2 and ∠6) and (∠3 and ∠7) are the alternate interior angles but only the first is an option.

2.

∠10 = ∠8+∠7 (corresponding angles so they are congruent)

∠10 is 140° and ∠8 is a right angle

140-90 = 50

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3.

Sense all angles of a triangle add up to 180 and the ratio of angles is 3:3:6 the we can find the angle with the equation x+x+2x=180

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4x=180

Solve by dividing 4 from both sides

x=45

so it is a 45, 45, 90 triangle. (right triangle because the 90 and icoceles because other 2 angles are congruent so option 5 is correct)

m∠J= 45°

m∠K= 45° (Option 1 is correct)

m∠L= 90° (Option 6 is correct)

4.

I honestly don't see how you can solve this without making assumptions so I will make assumptions.

Assuming the whole figure is symmetrical vertically ∠1 is congruent to the same spot on the right side of the shape. This angle would be supplementary to the angle of the angle outside of the shape adjacent on the right making the angle (which is corresponding, therefore congruent to ∠2) 133°.

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