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Kay [80]
3 years ago
5

How do you find this answer? M

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

  m∠QTP = 43°

Step-by-step explanation:

As with any problem, you start by looking at what you are given and the relationships between those things and what you are to find.

There are several relationships you can make use of here:

  • the sum of angles of a triangle is 180°
  • vertical angles are congruent
  • corresponding angles are congruent where a transversal crosses parallel lines

The angles marked (3x°) and (5x-32)° are corresponding angles, so are congruent. That means you can find their measure:

  3x = 5x -32

  0 = 2x -32 . . . . . subtract 3x

  0 = x -16 . . . . . . . divide by 2

  16 = x . . . . . . . . . .add 16

  3x° = 48° . . . . . . find 3x°

Angle TPQ is vertical with 3x°, so also has measure 48°. Angle TQP is vertical with the angle marked 89°, so also has measure 89°.

Now, you know two of the three angles in triangle QTP, so you can find angle QTP:

  m∠QTP + 48° + 89° = 180° . . . sum of angles in a triangle

  m∠QTP = 43° . . . . . . . . . . . . . . subtract 137°

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The correct option is a. $1.75 + $0.25x ≤ $15; x < 53 miles.

The inequality that represents given situation is $1.75 + $0.25x ≤ $15.

<h3>What is inequalities?</h3>

An inequality compares the two values to determine if one is less than, larger than, or simply simply equal to the other.

  • a ≠ b indicates that an is not equal to b.
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Now for the given question;

A cab charges $1.75 for the flat fee.

And, the cab charges $0.25 for each mile.

Total amount spent by Eddie is 1$15.

So, first and foremost. Because you have to pay the fixed charge and then pay for x miles is $0.25.

Thus, (15-1.75) / 0.25 = 53.

Therefore, the inequalities which describes the given scenario is;

$1.75 + $0.25x ≤ $15

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To know more about the inequalities, here

brainly.com/question/11613554

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The correct question is-

A cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddie can travel if he has $15 to spend.

a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles

b. $1.75 + $0.25x ≥ $15; x ≥ 53 miles

c. $0.25 + $1.75x ≤ $15; x ≤ 8 miles

d. $0.25 + $1.75x ≥ $15; x ≥ 8 miles

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