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2 years ago

Applying Angle Pair Relationships

Mathematics

1 answer:

aksik [14]2 years ago

3 0

Answer:

∠2 = 75° because of alternate interior angles. Since ∠1 and ∠2 form a linear pair, they are also supplementary which means that ∠1 = 180 - ∠2 = 180 - 75 = 105°.

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Write the value of the underlined digit 7,270

RSB [31]

I am sorry but I do not see the underlined digit, but I will put it this way. 7 in the thousands place is worth 7000, 2 in the hundreds place is worth 200, 7 in the tens place is worth 70, and 0 in the ones place is worth 0.

Hope this helped!

Nate

3 0

3 years ago

How do you solve these equations? I don't want you to answer all of them, just tell me how to solve each type of equation on the

miss Akunina [59]

Answer:

8. Identify the common denominator; express each fraction using that denominator; combine the numerators of those rewritten fractions and express the result over the common denominator. Factor out any common factors from numerator and denominator in your result. (It's exactly the same set of instructions that apply for completely numerical fractions.)

9. As with numerical fractions, multiply the numerator by the inverse of the denominator; cancel common factors from numerator and denominator.

10. The method often recommended is to multiply the equation by a common denominator to eliminate the fractions. Then solve in the usual way. Check all answers. If one of the answers makes your multiplier (common denominator) be zero, it is extraneous. (10a cannot have extraneous solutions; 10b might)

Step-by-step explanation:

For a couple of these, it is helpful to remember that (a-b) = -(b-a).

$\dfrac{5}{x+2}+\dfrac{25-x}{x^2-3x-10}=\dfrac{5(x-5)}{(x+2)(x-5)}+\dfrac{25-x}{(x+2)(x-5)}\\\\=\dfrac{5x-25+25-x}{(x+2)(x-5)}=\dfrac{4x}{x^2-3x-10}$

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$\displaystyle\frac{\left(\frac{x}{x-2}\right)}{\left(\frac{2x}{2-x}\right)}=\frac{x}{x-2}\cdot\frac{-(x-2)}{2x}=\frac{-x(x-2)}{2x(x-2)}=-\frac{1}{2}$

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$\dfrac{3}{x-1}+\dfrac{6}{x^2-3x+2}=2\\\\\dfrac{3(x-2)}{(x-1)(x-2)}+\dfrac{6}{(x-1)(x-2)}=\dfrac{2(x-1)(x-2)}{(x-1)(x-2)}\\\\3x-6+6=2(x^2-3x+2) \qquad\text{multiply by the denominator}\\\\2x^2-9x+4=0 \qquad\text{subtract 3x}\\\\(2x-1)(x-4)=0 \qquad\text{factor; x=1/2, x=4}$

Neither solution makes any denominator be zero, so both are good solutions.

8 0

3 years ago

For the line segment whose endpoints are A(0,0) and B(4, 3), find the x value for the point located

Crank

Answer:

Step-by-step explanation:

The distance between A and B is given by the Pythagorean Theorem:

$= \sqrt{(4-0)^{2}+(3-0)^{2}} = 5$

The angle of the line segment is:

$\theta = \tan^{-1}\left(\frac{3-0}{4-0} \right)\\\\\theta \approx 36.870^{\circ}$

The x-coordinate of the point is:

$x = 0 + \frac{2}{3}\cdot (5) \cdot \cos 36.870^{\circ}\\\\x = 2.667$

x≅ 2.7

6 0

2 years ago

Read 2 more answers

An integer is 8 more than 5 times another. If the product of the two integers is 36, then find the integers

Harman [31]

Answer:

see below

Step-by-step explanation:

1st: x

2nd: 5x + 8

x(5x + 8) = 36

5x² + 8x = 36

5x² + 8x - 36 = 0

(x - 2)(5x + 18) = 0

(x - 2) = 0

x - 2 = 0

x = 2

1st: x = 2

2nd: 5x + 8 = 5(2) + 8 = 18

(5x + 18) = 0

5x + 18 = 0

5x = -18

x = -3.6

1st: x = -3.6

2nd: 5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10

7 0

3 years ago

Use the Distributive Property to simplify the following expression <br> -2 (x + 3)

Dmitry_Shevchenko [17]

Answer:

-2x-6

Step-by-step explanation:

-2(×+3)

-2x-2.3

-2x-6

4 0

2 years ago