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Aleks04 [339]
3 years ago
7

Question 13 (5 points) m_1 = (4x + 9)º and m_2 = (x - 14)° in the given figure. Find x.

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

x=19°

Step-by-step explanation:

Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.

Right angles always add up to 90°.

So, Angle 1 add Angle 2 equals 90°.

4x+9+x-14=90°

Collect the like terms:

Like terms are terms with the same variables and powers.

4x+x=5x

9-14= -5

Form an equation:

5x-5=90°

Do inverse operations to isolate x.

90+5=95°

95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).

So, x=19°

Hope this helps :)

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6z + 7  = 8z - 9

8z - 9 = 6z + 7

Add sides 9

8z - 9 + 9 = 6z + 7 + 9

8z = 6z + 16

Subtract sides 6z

- 6z + 8z =  - 6z + 6z + 16

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Divide sides by 2

\frac{2z}{2}  =  \frac{16}{2}  \\

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Thus ;

NP = 8z - 9

NP = 8(8) - 9

NP = 64 - 9

NP = 64 - 4 - 5

NP = 60 - 5

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Done...

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3 years ago
What is the length of AD, in centimeters?
LekaFEV [45]

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Step-by-step explanation:

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Step-by-step explanation:

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