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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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melisa1 [442]

Answer:

x=-48

Step-by-step explanation:

Add 4 to both sides and then multiply both sides by 3.

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An auto insurance company has 10,000 policyholders. Each policy is defined as: young or old male or female; and married or singl
Blababa [14]

Answer:

880

Step-by-step explanation:

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Male = 4,600

Female = 5,400

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Married Females = 7,000 - 3,010 = 2,990

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Young Married Males = 600

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3 years ago
What is (3 plus 1/2) times 12
Fynjy0 [20]
9 is the answer!!!!!!!!!!!!!!!!!!!!!!
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During the first part of a​ trip, a canoeist travels 18 miles at a certain speed. the canoeist travels 4 miles on the second par
storchak [24]
We can set it up like this, where <em>s </em>is the speed of the canoeist:

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To make a common denominator between the fractions, we can multiply the whole equation by s(s-5):

s(s-5)[\frac{18}{s} + \frac{4}{s-5} = 3] \\ 18(s-5)+4s=3s(s-5) \\ 18s - 90+4s=3 s^{2} -15s

If we rearrange this, we can turn it into a quadratic equation and factor:

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9-5 = 4

The canoeist's speed on the first part of the trip was 9mph, and their speed on the second part was 4mph.
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3 years ago
If cos x= sin(20 + x)° and 0° &lt; x &lt; 90°, the value of xis
ruslelena [56]

Answer:

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