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valentina_108 [34]
3 years ago
8

The measure of one of the angles formed by two parallel lines and a transversal is 45°. Is it possible for the measure of any of

the other seven angles to be equal to 55°? Explain.
Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

Answer: No


Step-by-step explanation:

Three of the other angles are 45°. The other four are 180° - 45°, which is not 55°. At the intersection of two lines, opposite angles are equal and adjacent angles are complementary, so two adjacent angles add to 180°. Adding a parallel line gives four more angles identical to the first four.

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Is -54 rational number whole number or integersis
Yuki888 [10]

Answer:

-54 is a integer and rational number

Step-by-step explanation:

7 0
3 years ago
A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners
Vlada [557]

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

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3 years ago
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zhannawk [14.2K]
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To solve this problem, you first need to figure out the average amount of money per hour the worker earns.

That would be the base salary plus the average tips per hour. So

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Then to figure out how many hours the worker needs to work, divide the goal by the hourly earnings. So

$333 / $18 = 18.5 hours.



Therefore on average, it will take 18.5 hours to earn $333, assuming a base salary of $6/hour and an average of $12 in tips per hour.
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3 years ago
A shopper bought shoes marked 40$the sales tax is5% how much is the sales tax
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