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3 years ago

5

Given the following two statements, is the compound statement valid? p: Two angles are congruent. q: The angles are vertical Com

pound statement: If two angles are congruent then the angles are vertical.

1 answer:

maw [93]3 years ago

5 0

No, this is not valid. In the picture below, $\angle a$ is a vertical angle with $\angle b$ . But $\angle a$ is not $\cong \angle b$

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178

dangina [55]

Answer:

$2S+178\ge 2,000,$

$[911,\infty).$

Step-by-step explanation:

Let S be the number of cans that Shane had collected.

Abha had collected 178 more cans than Shane did, then Abha had collected S+178 cans.

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling, this means that

$S+S+178\ge 2,000,\\ \\2S+178\ge 2,000.$

Solve this inequality:

1. Divide it by 2:

$S+89\ge 1,000.$

2. Now

$S\ge 1,000-89,\\ \\S\ge 911.$

The solution set is $[911,\infty).$

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solong [7]

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cupoosta [38]

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