Answer:
![\angle ABC=63\textdegree](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D63%5Ctextdegree)
Step-by-step explanation:
![\angle ABC=4x+23\\\angle CBD=6x+7\\\angle ABD=130\textdegree \\\angle ABD=\angle ABC+\angle CBD\\\\\Rightarrow4x+23+6x+7=130\\\Rightarrow10x+30=130\\\Rightarrow10x=100\\\Rightarrow x=10](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D4x%2B23%5C%5C%5Cangle%20CBD%3D6x%2B7%5C%5C%5Cangle%20ABD%3D130%5Ctextdegree%20%5C%5C%5Cangle%20ABD%3D%5Cangle%20ABC%2B%5Cangle%20CBD%5C%5C%5C%5C%5CRightarrow4x%2B23%2B6x%2B7%3D130%5C%5C%5CRightarrow10x%2B30%3D130%5C%5C%5CRightarrow10x%3D100%5C%5C%5CRightarrow%20x%3D10)
Substitute the value of ![x](https://tex.z-dn.net/?f=x)
![\angle ABC=4x+23\\=4\times10+23\\=40+23\\=63](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D4x%2B23%5C%5C%3D4%5Ctimes10%2B23%5C%5C%3D40%2B23%5C%5C%3D63)
The solutions to the given inequalities are x < 6 OR x < -10
<h3>Linear Inequalities </h3>
From the question, we are to solve the given inequalities
The given inequalities are
6x - 4(2x - 5) > 8 or 5x + 9 < 2x - 21
First solve,
6x - 4(2x - 5) > 8
Clear the bracket
6x -8x + 20 > 8
6x - 8x > 8 - 20
-2x > -12
Divide both sides by -2 and flip the sign,
That is,
-2x/-2 > -12/-2
x < 6
For,
5x + 9 < 2x - 21
Subtract 2x from both sides
5x - 2x + 9 < 2x - 2x -21
3x < -21 -9
3x < -30
Divide both sides by 3
3x/3 < -30/3
x < -10
Hence, the solutions to the given inequalities are x < 6 OR x < -10
Learn more on Inequalities here: brainly.com/question/246993
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Answer:
2x - 2y = -8
x + 2y = -1
3x = -9
x = -3
-3 + 2y = -1
2y = 2
y = 1
(-3, 1) is the solution
Step-by-step explanation:
A) 10,000(1+.075)^1(5) = 14,356.29
b) i dont know sorry