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krek1111 [17]
3 years ago
7

Find the value of each variable and the measure of each angle.

Mathematics
2 answers:
ANTONII [103]3 years ago
5 0

Answer:

x = 14

Step-by-step explanation:

The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.

x+12 = 3x-16

On both sides, subtract 3x and subtract 12 to get this.

-2x = -28

Divide by -2.

x = 14

insens350 [35]3 years ago
4 0

Answer:

x = 14

Step-by-step explanation:

Please mark my answer as brainliest :D

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Find the Slope of the line through each pair of points: (-4,11),(1,-9)
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Can I have help with the question
sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y =  \frac{7}{9} x + \frac{16}{9}

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )

[] Now we will find the slope to solve for the perpendicular bisector.

-> We will use slope-intercept form, see attached

\frac{9-0}{0-7}=\frac{9}{-7}

-> The slopes of two perpendicular lines are negative reciprocals of each other, so \frac{7}{9} will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

y - 4.5 = \frac{7}{9} (x-3.5)

y - 4.5 = \frac{7}{9} x-\frac{49}{18}

y = \frac{7}{9} x-\frac{49}{18} + 4.5

y =  \frac{7}{9} x + \frac{16}{9}

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
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