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grigory [225]
3 years ago
10

Find m+n of this angle.

Mathematics
1 answer:
scoray [572]3 years ago
7 0

Answer:

m + n = 140°

Step-by-step explanation:

∵ The measure of the angle next to n = 40° ⇒ vertically opposite angle with the angle 40°

From parallel lines m , n and angle 40° next to n are interior supplementary means their sum is 180°

∴ m + n + 40° = 180°

∴ m + n = 180 - 40 = 140°

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Find the area and show work if you can.
baherus [9]

Answer:

The area of figure is 420 000 ft².

Step-by-step explanation:

You can seperate the diagram into 2 parts, top is trapezium and bottom is rectangle. Then you have to use the formula for each part :

Trapezium,

A =  \frac{1}{2}  \times (a + b) \times height

Let a = 600 ft,

Let b = 900 ft,

Let height = 200 ft,

A =  \frac{1}{2}  \times (600 + 900) \times 200

A = 150 \: 000 \:  \:  \:  {feets}^{2}

Rectangle,

A = base \times height

Let base = 900 ft,

Let height = 300 ft,

A = 900 \times 300

A = 270 \: 000 \:  \:  \:  {feets}^{2}

Lastly, you have add both areas together :

A = 150000 + 270000

A = 420 \: 000 \:  \:  \:  {feets}^{2}

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3 years ago
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Two vertical angles are adjacent?
sesenic [268]
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3 years ago
The graph below shows the solution to which system of inequalities?<br> 10-<br> TO<br> 10<br> -10
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12 times a number decreased by 5 is no more than 55
lions [1.4K]

Answer:

  12n -5 ≤ 55

Step-by-step explanation:

12 times a number (represented by n) is 12n.

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