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never [62]
4 years ago
12

Can anyone help me on this ? I always struggle with this...

Mathematics
1 answer:
Mazyrski [523]4 years ago
4 0

Answer:

a. The measure of angle 2 is 63 and the measure of angle 3 is 117

b. The measure of angle 4 would be approximately 30.66...

c. The measure of angle 2 would be 17

Step-by-step explanation:

a. Angles 1 and 2 are alternate interior angles which means they are equal to each other. That means that both angles 1 and 2 and 63 degrees. Angles 2 and 3 are supplementary angles which means they add up to 180 degrees.

180-63=117 degrees

b. Angles 1 and 4 are alternate exterior angles and are also equal to each other. You would set up an equation that looks like...

74=3x-18

Add 18 to both sides

92=3x

Divide by 3 on both sides

92/3 which is approximately 30.67

c. Angle 1 and 2 are alternate interior angles. You would set the two given equations equal to each other.

3x-9=x+25

Subtract x from both sides.

2x-9=25

Add 9 to both sides.

2x=34

Divide both sides by 2.

x=17

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A company that makes​ hair-care products had 9 comma 000 people try a new shampoo. Of the 9 comma 000 ​people, 72 had a mild all
Olegator [25]

Answer:

The percent of people with mild allergic reaction is 0.8%

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The company has 9000 people, and 72 people have mild allergic reaction.

The fraction of people with mild reaction is 72 over 9000, i.e. 72/9000

72 and 9000 are multiple of 9, therefore reducing both by 9, we will have 8/1000.

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To get the percentage, we will now multiply the fraction 1/125 by 100, we will have 100/125

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