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3 years ago

What is the measure of 1? 79° 87° 98° 75°

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Answer:

Step-by-step explanation:

82 + 106 + 93 + x = 360

281 + x = 360

x = 360 - 281

x = 79

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

A new clothing store is offering 30 free points to customers who sign up for their rewards card. Then for each shirt a customer

algol [13]

P = 3n + 30
p = 75
75 = 3n + 30
45 = 3n
n = 15
A customers earns 15 additional points on purchasing one shirt.

8 0

3 years ago

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Hi pls help me!!! thank you

elena-s [515]

Step-by-step explanation:

Circumference (C):

$C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}$

Area (A):

$A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2$

6 0

2 years ago

which are the roots of the quadratic function f(b) = b2 – 75? check all that apply. b = 5 square root of 3 b = -5 square root of

malfutka [58]

The answers are b = 5 square root of 3; b = -5 square root of 3. f(b) = b^2 – 75. If f(b) = 0, then b^2 – 75 ) 0. b^2 = 75. b = √75. b = √(25 * 3). b = √25 * √3. b = √(5^2) * √3. Since √x is either -x or x, then √25 = √(5^2) is either -5 or 5. Therefore. b = -5√3 or b = 5√3.

8 0

3 years ago

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2 4/5 divided by 2/3

daser333 [38]

Answer:

4.2 cuz yeah

Yeet :)

5 0

4 years ago

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