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3 years ago

Simplify the following

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

1.) -5m + 7n

2.) ab + a²-2b

3.) -2d² + 2d

4.) 10b + 2

umka21 [38]3 years ago

7 0

Q.1.1

$4m - n + 8n - 9m \\ 4m - 9n - 9m \\ = - 5m - 9n$

Q 1.2

$ab + ( {a}^{2} - 2b)$

this can't be simplified.

Q. 1.3

$4d - d(2d + 2) \\ 3d \times 2d + 2 \\ = 6d + 2$

Q.1.4

$4(b - 2) + 6(b - 1) \\ 4b - 8 + 6b - 6 \\ = 10b - 2$

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3 years ago

Find the measure of angle B.

Elza [17]

Answer:

The measure of angle B is 122° ⇒ answer D

Step-by-step explanation:

* Lets explain how to solve the problem

- The sum of interior angles of any polygon can found by using this

rule (n - 2) × 180° , where n is the number of the sides or angles

of the polygon

∵ ABCDEFG is a polygon of 7 sides

∴ The sum of the measures of the interior angles = (7 - 2) × 180°

∴ The sum of the measures of the interior angles = 900°

∵ m∠A = 12x - 9 , m∠B = 9x + 14 , m∠C = 133° , m∠D = 10x + 9

∵ m∠E = 10x , m∠F = 136° , m∠G = 10x + 5

∵ The sum of all angles = 900°

∴ 12x - 9 + 9x + 14 + 133 + 10x + 9 + 10x + 136 + 10x + 5 = 900

∴ 51x + 288 = 900

- Subtract 288 from both sides

∴ 51x = 612

- Divide both sides by 51

∴ x = 12

∵ m∠B = 9x + 14

∵ x = 12

∴ m∠B = 9(12) + 14 = 122°

* The measure of angle B is 122°

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3 years ago

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3 years ago

I need help with algebra

aalyn [17]

To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
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When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.

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