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3 years ago

Helllllpppppppppppppppppp

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

The sum of the inner angles of a polygon with n sides is $180(n-2)$

Since your polygon has 6 sides, the sum of its inner angles has to be

$180(6-2) = 180 \cdot 4 = 720$

On the other hand, the sum of its inner angles is

$75+132+113+108+160+x = 588+x$

And it has to be 720, so we have

$588+x=720 \iff x = 720-588 = 132$

You might be interested in

Which is equivalent to cos^-1(0) answer in radian

ruslelena [56]

Answer:

Step-by-step explanation:

cos ^-1(0)=(2n+1) π/2

where n is an integer.

if 0 ≤α ≤2 π

n=0,1

cos ^-1(0)=π/2,3π/2

8 0

3 years ago

Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.

Serga [27]

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

3 0

2 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

2 years ago

Which is an extraneous solution of the exponent x+sqrtx=6

zheka24 [161]

First, we can simplify it down.
x = (-x + 6)^2
Then, you should have x - ( $x^{2}$ - 12x + 36).
Factor it to get x = 4 or 9. 4 works in the original equation but 9 does not.

3 0

3 years ago

Two angle measures of a triangle are given what is the third angle measure 57 68 _ 90 40 __ 29 71 _

nexus9112 [7]

$Sum\ of\ angles\ in\ triangle\ is\ 180^{\circ}\\\\
57^{\circ},68^{\circ},x\\
57+68+x=180\\
125+x=180\\
x=55^{\circ}\\\\
90^{\circ},40^{\circ},x\\
90+40+x=180\\
130+x=180\\
x=50^{\circ}\\\\29^{\circ},71^{\circ},x\\
29+71+x=180\\
100+x=180\\x=80^{\circ}$

3 0

2 years ago