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irga5000 [103]
2 years ago
12

Given two complementary angles, 3x and (x - 2). Find the value of x.

Mathematics
1 answer:
ohaa [14]2 years ago
6 0

Answer:

x = 23°

Step-by-step explanation:

Note: Complementary angles measure 90°

3x + (x - 2)° = 90°

=> 3x + x - 2° = 90°

=> 4x - 2° = 90°

Add the additive inverse of -2 to both sides of the equation

i.e 4x - 2° + 2° = 90° + 2°

=> 4x = 92°

Divide both sides of the equation by the coefficient of x which is 4

=> 4x/4 = 92°/4

x = 23°

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Consider the multiple regression model with two regressors x1 and x2​, where both variables are determinants of the dependent va
serious [3.7K]
Hdhisnuabwgqnbdxuwbuebwuacwusvaywvsheue y
6 0
3 years ago
Name a point on this line.<br> y - 8 = -7(x + 1)<br><br> (-1,8)<br> (1, -8)<br> (8,-1)<br> (-8,1)
Ksju [112]

Answer:

A

Step-by-step explanation:

You should approach this problem by plugging the answer choices into the equation, since there are only four that you need to do. A works because 8-8 = -7(-1+1) which are both equal to 0

8 0
2 years ago
3. A straight line passes through two points with
kirza4 [7]

Answer:

Step-by-step explanation:

Find the slope of the line

(x₁ , y₁) = (6 , 8)   & (x₂ , y₂) = (0 , 5)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}

m = 1/2  ;(x₁ , y₁) = (6 , 8)

y - y₁ = m(x - x₁)

y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5

7 0
3 years ago
The width of a rectangle is 3 less than its length find the width of the rectangle if its perimeter is 26ft
Marta_Voda [28]

The width of rectangle is 5 feet.

Let us assume the length of rectangle to be x. So, the width of rectangle will be (x - 3).

Now, as per the known fact, perimeter, length and width of rectangle are related by the formula -

Perimeter = 2 × (length + width)

Keep the values in formula to find the value of width

26 = 2 × (x + x - 3)

Performing addition of variables inside the bracket

26 = 2 × (2x - 3)

Shifting 2 to other side of equation to find the value of x

2x - 3 = \frac{26}{2}

Performing division to find the value of x

2x - 3 = 13

Shifting 3 to other side of equation to find the value of x

2x = 13 + 3

Performing addition to find the value of x

2x = 16

Shifting 2 as denominator to other side of equation to find the value of x

x = \frac{16}{2}

Performing division to find the value of x

x = 8

So, length of rectangle is 8 feet

Width of rectangle = x - 3

Width of rectangle = 8 - 3

Width of rectangle = 5 feet

Hence, the width of rectangle is 5 feet.

Learn more about calculation involving rectangle -

brainly.com/question/24571594

#SPJ4

7 0
1 year ago
Please help. Not sure how to do this one
Sladkaya [172]

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Step-by-step explanation:

Given

f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2

We have to find

(hofog)(x)

This will be equal to:

h(f(g(x)))

So we have to find the composition of (fog)(x) first

(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}

Now,

(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}

The correct answer is: Option 3: (hofog)(x)=\frac{x-14}{x+4}

Keywords: Composition, Functions

Learn more about function composition at:

  • brainly.com/question/10015690
  • brainly.com/question/10048445

#LearnwithBrainly

8 0
3 years ago
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