Find the variable x.

1 answer:

5 0

Answer:

x = 5

Step-by-step explanation:

7x is a secant- secant angle and has measure equal to half the difference of the intercepted arcs, that is

7x = 0.5(22x + 10 - 50)

7x = 0.5(22x - 40) ← distribute

7x = 11x - 20 ( subtract 11x from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5

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dsp73

$-(1-5n)-7n \\ \\ -1 + 5n - 7n \\ \\ -1 - 2n \\ \\ Answer: \fbox {-1 - 2n}$

5 0

3 years ago

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$