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Virty [35]
2 years ago
9

Two angles of a triangle have measures of 75and 62 degrees . What is the measure of the third angle?

Mathematics
1 answer:
777dan777 [17]2 years ago
4 0

9514 1404 393

Answer:

  D. 43 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180°. If x represents the measure of the third angle, then ...

  75° +62° +x = 180°

  137° +x = 180° . . . . . . . . . collect terms

  x = 180° -137° = 43° . . . . subtract 137° from both sides of the equation

The third angle measures 43°.

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linear equation

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it is because x has degree 1.

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Juanita keeps 25% of the profit from her ice cream shop. If the shop makes $750 per month, how much money will Juanita keep?
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3 years ago
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Select the quadrant in which the terminal side of the angle falls.
Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

 

8 0
3 years ago
In a class of 40 students, 5 like neither Nokia nor
STatiana [176]

Answer:

<em><u>The number of students that like only Nokia </u></em>

<h2>= 30</h2>

Step-by-step explanation:

consider N the number of students who like Nokia → N=?

               T the number of students who like Techno → T=35

Statement 1: In a class of 40 students, 5 like neither Nokia nor Techno

we can translate it like this: 35 student like Nokia or Techno

we can note it like this : T∪N= 35

Statement 2: 30 like Techno and Nokia

we can note it : T∩N = 30

using a rule concerning the number of element of a set :

T∪N = N + T - T∩N

then

35 = N + 35 - 30

⇒ N - 30 = 0

⇒ N = 30

7 0
3 years ago
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