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Liula [17]
3 years ago
7

In quadrilateral abcd the measures of the angles are represented by measure angle a=6x-2, measure angle b=6x+5, measure angle c=

8x+2, and measure angle d=3x+10. Find the measure angle c
Mathematics
2 answers:
OleMash [197]3 years ago
8 0

\bf \textit{sum of all interior angles in a polygon}\\\\ S = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = \stackrel{quadrilateral}{4} \end{cases} \\\\\\ \stackrel{\measuredangle a}{(6x-2)}~~+~~\stackrel{\measuredangle b}{(6x+5)}~~+~~\stackrel{\measuredangle c}{(8x+2)}~~+~~\stackrel{\measuredangle d}{(3x+10)}~~=~~180(4-2)

\bf 23x+15=180(2)\implies 23x+15=360\implies 23x=345 \\\\\\ x = \cfrac{345}{23}\implies \boxed{x = 15} \\\\\\ \stackrel{\measuredangle c}{8x+2}\implies 8(15)+2\implies 122

balandron [24]3 years ago
7 0

Answer:

c = 122 degrees

Step-by-step explanation:

A quadrilateral is a shape bounded by four sides. It has four angles too. The sum of the angles in the quadrilateral is 360 degrees. From the information given above, the four angles of the quadrilateral are angle a, angle b, angle c and angle d.

The sizes of the angles are

angle a = 6x-2 degrees

angle b = 6x+5 degrees

angle c= 8x+2 degrees

angle d = 3x+10 degrees

Sum of the angles = 360. Therefore,

6x-2+6x+5 +8x+2 +3x+10 = 360

= 6x + 6x + 8x + 3x = 360 -5-10

23x = 345

x = 350/23 = 15

Angle c = 8x+2 = 8×15 +2 = 122 degrees

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8 0
3 years ago
What is the x intercept that is perpendicular to y=4/3x+1 and passes through (-4,9)
kolezko [41]
Well, we know the line is perpendicular to that one above.... what is the slope of that one anyway?  well, notice, the equation is already in slope-intercept form   \bf y=\stackrel{slope}{\cfrac{4}{3}}x+1.

so, we're looking for the equation of a line perpendicular to that one, now, since that one has a slope of 4/3, a perpendicular line will have a negative reciprocal slope to that one, 

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{4}{3}\\\\
negative\implies  -\cfrac{4}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{4}

so, what is the equation of a line whose slope is -3/4 and runs through -4,9?

\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~ -4 &,& 9~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies -\cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-9=-\cfrac{3}{4}[x-(-4)]
\\\\\\
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now, the x-intercept for any function is found by zeroing out the "y" and solving for "x", thus

\bf y-9=-\cfrac{3}{4}(x+4)\implies 0-9=-\cfrac{3}{4}(x+4)\implies -9=-\cfrac{3x}{4}-3
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5 0
3 years ago
According to the U.S. Census Bureau, about 63% of Americans are adults (18 and over). Use the U.S. population estimate of 308 mi
Kisachek [45]

Step-by-step explanation:

According to the U.S. Census Bureau, about 63% of Americans are adults (18 and over). Use the U.S. population estimate of 308 million people to calculate the number of American adults in 2010. Round to the nearest hundred thousand adults

4 0
4 years ago
Read 2 more answers
Brainiest to whoever correct
dolphi86 [110]

74-34=20 so then y=20 because 20*2+34=74

IN other words

74-34=20

7 0
3 years ago
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Anna35 [415]

Answer:

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Step-by-step explanation:

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8/12+3/12

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5 0
3 years ago
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