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3 years ago

How do I find the value of x

Mathematics

1 answer:

Drupady [299]3 years ago

6 0

Answer:

$x=144$

Step-by-step explanation:

$We\ can\ observe\ that:\\The\ polygon\ is\ an\ octagon\ as\ it\ is\ bounded\ by\ 8\ linear\ sides.\\Hence,\\We\ know\ that,\\The\ Interior\ Angle\ Sum\ of\ a\ polygon\ with\ n\ is\ given\ by\ the\ formula:\\Interior\ Angle\ Sum=180(n-2)\\Hence,\\As\ we\ already\ know\ that,\\The\ number\ of\ sides\ in\ this\ polygon=n=8\\Hence,\\The\ Interior\ Angle\ Sum\ Of\ An\ Octagon=180(8-2)=180*6=1080\\$

$Hence,\\\angle 1+ \angle 2+\angle 3+\angle 4+\angle 5+\angle 6+\angle 7+\angle 8=1080\\Hence,\\129+132+136+124+141+158+116+x=1080\\Hence,\\936+ \angle x=1080\\\angle x=1080-936=144$

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Please helppppppp meeeeeeeeeeee

Paha777 [63]

Answer:

the answer is the third one

Step-by-step explanation:

3 0

3 years ago

The Johnson twins were born nine years after their older sister. This year, the product of the three siblings ages is exactly 18

KATRIN_1 [288]

Answer: The age of the twins is 10 years.

Step-by-step explanation:

Suppose the age of older sister be x

Let the age of twins sister be x-9, as they are born after 9 years.

Product of their ages be

$x(x-9)(x-9)\\\\=x(x^2-18x+81)\\\\=x^3-18x^2+81x$

Sum of their ages will be

$x+x-9+x-9\\\\=3x-18$

According to question,

$1861+3x-18=x^3-18x^2+81x\\\\x^3-18x^2+81x-3x+18-1861=0\\\\x^3-18x^2+78x-1843=0\\\\x=19$

So, Age of older sister will be 19 years.

Age of the twins will be

$19-9=10\ years$

Hence, the age of the twins is 10 years.

3 0

3 years ago

2 fifth= Ten blank help

Paha777 [63]

2/5 = x/10

2/5 x 2 = 4/10

x= 4

2/5 = 4/10

6 0

3 years ago

PLEASE HELP-

salantis [7]

Answer:

1 3/4 simplified or 1 12/16 not simplified

5 0

3 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

4 years ago