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2 years ago

Corresponding Angles are congruent. Which angle corresponds with <3?

Mathematics

1 answer:

Bumek [7]2 years ago

8 0

Answer:

Step-by-step explanation:

angle correspondant

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Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo

Alla [95]

Answer:

$\displaystyle y=-\frac{1}{2}x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-\frac{1}{2}$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-\frac{1}{2}(x-2)$

Operating

$\displaystyle y=-\frac{1}{2}(x-2)+3$

Simplifying

$\displaystyle y=-\frac{1}{2}x+4$

That is the equation in slope-intercept form. Intercept: y=4

8 0

2 years ago

The surface area of a cube is 96 in.?. What is the volume of the cube?

salantis [7]

Answer:

Step-by-step explanation:

surface area of the cube =96

suppose one side of the cube = a

volume of the cube(V) =?

surface area = 6a^2

6a^2=96

a ^2 =96/6

a^2=16

a = 4

V= a^ 3

V=64.

brainliest plz :'D

3 0

2 years ago

Read 2 more answers

Is the following sequence a geometric sequence? 4, 12, 36, 108

Lyrx [107]

Answer:

yes it is

Step-by-step explanation:

it is since there is a common ratio between each term

5 0

2 years ago

In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.

guapka [62]

solution:

$x(a_{x},b_{x})is midpoint of vz\\
a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\
b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\
and,\\
x(5,0)\\
w(a_{w},b_{w}),v_{w} and w is on the right of v.\\
a_{w}-a_{v}=5\\
a_{w}-(-12)=5\\
a_{w}+12=5\\
a_{w}=5-12=-7\\
w(-7,0)\\
y(a_{y},b_{y})=20 and y is on the right of v.\\
a_{y}-a_{v}=20\\
a_{y}-(-12)=20\\
a_{y}+12=20\\
a_{y}=20-12=8\\
y=(8,0)$

7 0

3 years ago

Simplify each expression 9(5x)

Tatiana [17]

Answer:

45x

Step-by-step explanation:

Just expand and coolect to get 9x5=45 and add x

6 0

2 years ago

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Corresponding Angles are congruent. Which angle corresponds with <3? ￼

Corresponding Angles are congruent. Which angle corresponds with <3?