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Ganezh [65]
2 years ago
9

Which angles are adjacent to each other?

Mathematics
1 answer:
alexdok [17]2 years ago
7 0

Answer:

(c). Angle 12 and 9

Step-by-step explanation:

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M-80=150,doing homework
Umnica [9.8K]
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3 years ago
Solve the system (x-1)²+(y-2)²=2² and y=2x+2.
Likurg_2 [28]

Answer:

  (x, y) = (-0.6, 0.8)  or  (1, 4)

Step-by-step explanation:

Use the second equation to substitute for y in the first.

 (x -1)² +((2x +2) -2)² = 4

  x -2x +1 + 4x² = 4 . . . . . . . eliminate parentheses

  5x² -2x -3 = 0 . . . . . . . . . . subtract 4, collect terms

Now we can rearrange the middle term to ease factoring by grouping.

  (5x² -5x) +(3x -3) = 0

  5x(x -1) +3(x -1) = 0

  (5x +3)(x -1) = 0

The values of x that make these factors zero are ...

  x = -3/5, x = 1

The corresponding values of y are ...

  y = 2(-3/5)+2 = 4/5 . . . . for x = -3/5

  y = 2(1) +2 = 4 . . . . . . . . for x = 1

The solutions are: (x, y) = (-3/5, 4/5) or (1, 4).

___

A graphing calculator verifies these solutions.

3 0
3 years ago
Estimate the values to complete the table.
lbvjy [14]

Answer:

Step-by-step explanation:

For angle C,

cos(∠C) = \frac{\text{Adjacent side}}{\text{Hypotenuse}} = 0.97

sin(∠C) = \frac{\text{Opposite side}}{\text{Hypotenuse}} = 0.26

tan(∠C) = \frac{\text{Adjacent side}}{\text{Adjacent side}} = 0.27

Therefore, from the triangle ABC,

cos(∠A) = cos(90° - ∠C)

             = sin(∠C)

             = 0.26

sin(∠A) = sin(90 - ∠A)

            = cos(∠A)

            = 0.97

tan(∠A) = \frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}

            = 3.73

Angle        \frac{\text{Adjacent side}}{\text{Hypotenuse}}                 \frac{\text{Opposite side}}{\text{Hypotenuse}}                    \frac{\text{Opposite side}}{\text{Adjacent side}}

  A                    0.26                       0.97                             3.73

3 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine
UkoKoshka [18]
Yea I agree that the correct answer
Ok
4 0
2 years ago
Read 2 more answers
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