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3 years ago

Find the value of x.

Mathematics

1 answer:

bekas [8.4K]3 years ago

3 0

Answer:

$x=7$

Step-by-step explanation:

The sum of exterior angles of a polygon is equal to 360 degrees
$(12x+37)+(12x-2)+(20x-29)+46=360\\12x+12x+20x+46+37-29-2=360\\44x+52=360\\44x+52-(52)=360-(52)\\44x=308\\x=7$

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The sum of the first n consecutive even numbers can be found using S=n2+n, where n≥2. What is the value of n when the sum is 42?

lawyer [7]

Answer:

C. 6

Step-by-step explanation:

Given

S = n² + n
S = 42, n = ?

Substitute and solve for n:

42 = n² + n
n² + 2*1/2n + 1/4 = 42.25
(n + 0.5)² = 42.25
n + 0.5 = √42.25
n + 0.5 = 6.5
n = 6

Correct option is C

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2 years ago

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Six less than four times a number is 24 written out in numbers

vladimir1956 [14]

Your number is 0, 4x6=24 and six less than six is 0

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3 years ago

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In a circle, area and circumference can be found using the formulas A=(pi)r^2 and C=2(pi)r, respectively, Write a formula for A

AURORKA [14]

Answer:

$A = \dfrac{C^2}{4\pi}$

Step-by-step explanation:

Given that

Area of a circle $A=\pi r^2$

Circumference of the circle $C = 2 \pi r$

Let us re-write the equation of area of circle:

$A=\pi r^2$

$A = \pi \times r \times r$

Multiplying and dividing with 2:

$A = \dfrac{2\pi r}{2} \times r\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C}{2} \times r\\\text{Multiplying and dividing by } 2\pi:\\\Rightarrow A = \dfrac{C}{2} \times \dfrac{2\pi r}{2\pi}\\\text{Putting }2\pi r = C:\\\Rightarrow A = \dfrac{C \times C}{4 \pi}\\\Rightarrow A = \dfrac{C^2}{4 \pi}$

Hence, A in terms of C can be represented as:

$A = \dfrac{C^2}{4\pi}$

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3 years ago

You have a bag of 14

AlekseyPX

Answer:

30% or 30/100

Step-by-step explanation:

14+15+9+12= 50 Jelly beans total

yllow- 15

15/50=30/100= 30%

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3 years ago

I need help please.

jeka57 [31]

We are trying to represent the change in position of a bird flying down 7 ft to the ground.

Often, for the y axis- up is positive and down is negative.

Change in position is displacement- how far it was from the starting point

( different from distance which is how far is traveled

ex. doubling back would have distance they traveled some distance while the displacement is 0 because they are back to where they started).

The bird is going down 7 ft from where it originally was, which can be represented by

Bird's displacement = -7 ft

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3 years ago

Find the value of x.​

Find the value of x.