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zlopas [31]
2 years ago
10

Find the value of x x=

Mathematics
1 answer:
Lena [83]2 years ago
7 0

9514 1404 393

Answer:

  x = 65

Step-by-step explanation:

The sum of exterior angles of a polygon is 360°.

  40 + x + 77 + 2x + 45 = 360

  3x + 165 = 360 . . . . simplify

  x + 55 = 120 . . . . . . divide by 3

  x = 65 . . . . . . . . . . . subtract 55

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Need help with this problem:
Nitella [24]

Answer:

<em>Henson: 3x + y = 163</em>

<em>Garcia: 2x + 3y = 174</em>

<em>adult ticket price: $45</em>

<em>child ticket price: $28</em>

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3<em>y</em> = 174

2x + 3(<em>163 - 3x</em>) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

8 0
3 years ago
PLZZ HELPPP!!! Each edge of a wooden cube is 6 centimeters long. The cube has a density of 0.71 g/cm3
Lana71 [14]

Answer:

153.36g

Step-by-step explanation:

Density is defined as the ratio of mass per unit volume of a material.

Density = Mass/Volume

Given the edge of a cube which is equivalent to its length L to be 6cm.

Density of the cube = 0.71g/cm³

Volume of the cube = L³

Volume = 6³

Volume of the cube = 216cm³

Mass = Density × Volume

Mass of the cube = 0.71×216

Mass of the cube = 153.36grams

4 0
2 years ago
Read 2 more answers
Use Pythagorean Theorem to solve for the
babymother [125]
Pythagorean theorem is all about squaring the numbers. the equation is a^2+b^2=c^2
when you know two sides of the triangle, you fill in those spaces. they hypotenuse is ALWAYS ‘c’

to figure this problem out you put
a as 4
keep b as b since you don’t know what it is
c as 6

4 squared=16
6 squared=36

16+b^2=36
36-16=20
square root of 20 is 4.47
6 0
2 years ago
Please help and thx <br> .
alex41 [277]

Answer:

n=o

Step-by-step explanation:

3 0
2 years ago
If a system of linear equations has one solution, what is an importan
ira [324]

Answer:

bbhhhhhhhhhygg

......,.........

3 0
3 years ago
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