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BigorU [14]
3 years ago
8

Help help math math math

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

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What is the equation of (4,10),(6,11) in standard form?​
SIZIF [17.4K]

ANSWER

The standard form is:

x - 2y =  - 16

EXPLANATION

The given line passes through (4,10)and (6,11).

The slope of this line is

m =  \frac{11 - 10}{6 - 4}

m =  \frac{1}{2}

The equation is given by the formula,

y-y_1=m(x-x_1)

We plug in the first point and the slope to get.

y-10= \frac{1}{2} (x-4)

2y - 20 = x - 4

x - 2y  =  - 20 + 4

x - 2y =  - 16

The standard form is

x - 2y =  - 16

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