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2 years ago

12) -6n – 20 = -2n +4(1 – 3n) What’s the first step

Mathematics

1 answer:

EastWind [94]2 years ago

4 0

Answer:

n = 3

Step-by-step explanation:

-6n - 20 = -2n + 4 (1-3n)

First distribute the 4 (1-3n)

-6n - 20 = -2n + 4 - 12n

Combine like terms on the right side

-6n - 20 = -14n + 4

Get 'n' on one side by adding -6n to both sides

-20 = -8n + 4

Subtract 4 to both sides

-24 = -8n

Divide -8 to both sides

3 = n

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2 years ago

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vladimir1956 [14]

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3 years ago

Find the measure of /_ MFZ

marshall27 [118]

Given:

$MZ\cong PZ$

$m\angle MFZ=(x+9)^\circ$

$m\angle PFZ=(2x-1)^\circ$

To find:

The measure of angle MFZ.

Solution:

In triangles MFZ and PFZ,

$m\angle FMZ\cong \angle FPZ$ (Right angle)

$MZ\cong PZ$ (Given)

$FZ\cong FZ$ (Common side)

$\Delta MFZ\cong \Delta PFZ$ (HL congruent postulate)

$\angle MFZ\cong \angle PFZ$ (CPCTC)

$m\angle MFZ=m\angle PFZ$

$x+9=2x-1$

$9+1=2x-x$

$10=x$

The value of x is 10.

The measure of angle MFZ is:

$m\angle MFZ=(x+9)^\circ$

$m\angle MFZ=(10+9)^\circ$

$m\angle MFZ=19^\circ$

Therefore, the measure of angle MFZ is 19 degrees.

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1 year ago