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agasfer [191]
2 years ago
6

Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Mathematics
1 answer:
MrMuchimi2 years ago
4 0

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

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5 0
2 years ago
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Using linear combination method what is the solution to the system of linear equations 7X -2Y = -20 and 9X + 4Y = -6
Yakvenalex [24]

Answer:

(x,y ) = ( - 2,3)

Step-by-step explanation:

given the 2 equations

7x - 2y = - 20 (1)

9x + 4y = -6 (2)

8 0
3 years ago
the figure below consists of a rectangle and an equilateral triangle. What is the perimeter of the figure?
Alisiya [41]

Answer: 28 in.

Step-by-step explanation:

The perimeter is the total distance around the entire figure. Because all the lengths of the sides are already given, you just have to add them all up.

P = 4 in. + 8 in. + 8 in. + 4 in. + 4 in. = 28 in.

8 0
3 years ago
The first aircraft has 51 more seats than the second aircraft. the third aircraft has 54 fewer seats than the second aircraft. i
NikAS [45]

Let a = aircraft 1 seats

Let b = aircraft 2 seats

Let c = aircraft 3 seats

From the information given above, let's make basic equations.

a=51+b

b=b

c=b-54

a+b+c=411

We can begin to plug in values we know.

51+b+b+b-54=411

3b-3=411

3b=414

b=138

We now know that the second aircraft has 138 seats. Now we can plug in this value to find the value of the other seats. Let's start with the first aircraft.

a=51+b

a=51+138

a=189

We now know that the first aircraft has 189 seats. Let's now finally solve for the third aircraft.

c=b-54

c=138-54

c=84

Finally, we know that aircraft 3 has 84 seats. To check our work, let's make sure that each of these values add up to 411.

a+b+c=411

189+138+84=411

411=411

This is true, therefore the values are correct.


Aircraft 1: 189 seats

Aircraft 2: 138 seats

Aircraft 3: 84 seats

4 0
3 years ago
Solve: 7-z what is the answer to this question.................... . . . .. . . . .. .
alexgriva [62]

Answer:

7 - z = 0

- z + 7 = 0

- z = - 7

z = 7

Thus, The answer is 7

<u>-TheUnknownScientist</u>

8 0
2 years ago
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