9) Two angles form a linear pair. One of the angles is 12° more than three times the other. What's the

Mathematics

1 answer:

professor190 [17]3 years ago

6 0

Answer:

42 deg, 138 deg

Step-by-step explanation:

Angles of a linear pair are supplementary. That means that their measures have a sum of 180 degrees.

Let the measure of one angle be x.

The other angle is 12° more than three times the first.

The other angle has measure 3x + 12.

The sum of their measures is 180 deg.

x + 3x + 12 = 180

4x + 12 = 180

4x = 168

x = 42

One angle measures 42 deg.

The other angle measures

3x + 12 = 3(42) + 12 = 138

The other angle measures 138 deg.

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34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.

skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$ .

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,