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Ierofanga [76]
2 years ago
7

Identify the pair of supplementary angles.

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

We know that, the sum of measures of supplementary angles is 180°

So, the Correct choice is :

  • 65° and 115°

because, 65° + 115° = 180°

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After hiking at the top of the mountain, Mark starts to descend at the rate of 150 ft per hour. What is his vertical change afte
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Answer:

225 feet

Step-by-step explanation:

That would be 150 * 1.5

= 225 ft


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2(7x-34) = 22<br> Find X<br> Brainliest
Zepler [3.9K]

Answer: x = 45/7

Step-by-step explanation:

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Which ordered pair is a solution of the equation? -x-4y=-10
Makovka662 [10]

Answer:

(2, 2 )

Step-by-step explanation:

To find a solution, choose any value for x, substitute into the equation and solve for y.

Choose x = 2, then

- 2 - 4y = - 10 ( add 2 to both sides )

- 4y = - 8 ( divide both sides by - 4 )

y = 2

Thus (2, 2 ) is a solution to the equation

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A plumber charges $90 per hour and a $50 travel fee.
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What two rational expressions sum to 2x+3/x^2-5x+4
Anni [7]

Answer:

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

x^2 - 4x - x + 4

(x^2 - 4x) - (x + 4)

x(x - 4) - 1(x - 4)

(x- 1)(x - 4)

Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

2(4) + 3 = A(4 - 4) + B(4 - 1)

8 + 3 = A(0) + B(3)

11 = 3B

\frac{11}{3} = B

B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

5 = -3A

\frac{5}{-3} = \frac{-3A}{-3}

A = -\frac{5}{3}

Step 4: Plug in the values of A and B into the original equation in step 2

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}

7 0
2 years ago
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