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MariettaO [177]
2 years ago
10

Find the value of x?

Mathematics
2 answers:
Anarel [89]2 years ago
7 0

Answer:

x = 28º

Step-by-step explanation:

hope this helps :)

BlackZzzverrR [31]2 years ago
4 0

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Here's the solution ~

Let's use Angle sum property of a triangle :

\qquad \sf  \dashrightarrow \: 5x - 60\degree + 2x + 40\degree + 3x - 80 \degree= 180 \degree

\qquad \sf  \dashrightarrow \: 5x + 2x + 3x - 60\degree + 40\degree - 80\degree = 180 \degree

\qquad \sf  \dashrightarrow \: 10x - 100\degree = 180\degree

\qquad \sf  \dashrightarrow \: 10x = 180\degree + 100\degree

\qquad \sf  \dashrightarrow \: 10x = 280\degree

\qquad \sf  \dashrightarrow \: x = 280\degree \div 10

\qquad \sf  \dashrightarrow \: x = 28\degree

The value of x is 28°

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12

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4 years ago
You have a chess board as pictured, with squares numbered 1 through 64. You also have a huge change jar with an unlimited number
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(a) 512 dimes

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(d) 9.22337 x 10¹² km

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Step-by-step explanation:

b. Starting with 1 dime in the first square, if the number of dimes per each square is the double of the previous square, the general equation for the number of dimes in each square 'n' can be found by:

D(1) = 1\\D(2) = 2^1\\D(3) = 2^2\\D(4) = 2^3\\D(n) = 2^{n-1}

a. On the 10th square:

D(10) = 2^{10-1}\\D(10) = 512\ dimes

c. On the 64th square:

D(64) = 2^{64-1}\\D(10) = 9.22337 *10^{18}\ dimes

d. If a dime is 1 mm thick, the 64th pile will be:

h= 9.22337*10^{18}*0.0001\ m\\h= 9.22337*10^{15}\ m\\h= 9.22337*10^{12}\ km

e. The ratio between the height of the last pile (h) to the distance from the earth to the sun is:

R=\frac{9.22337*10^{12}\ km}{150,000,000\ km}\\ R=61,489.13

The height of the last pile is roughly 61,489.13 times longer than the distance from the earth to the sun.

5 0
3 years ago
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