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12345 [234]
3 years ago
9

How big is angle theta? thank you in advance for your help!

Mathematics
1 answer:
DerKrebs [107]3 years ago
3 0

Answer:

Θ = 124°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n - 5, thus

sum = 180° × 3 = 540°

Sum the given interior angles and equate to 540

2x - 3 + 2x + 7 +3x - 4 + 3x - 4 + 3x - 2 = 540, that is

13x - 6 = 540 ( add 6 to both sides )

13x = 546 ( divide both sides by 13 )

x = 42

Thus

Θ = 3x - 2 = 3(42) - 2 = 126 - 2 = 124°

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Romashka [77]
7 dollars

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and 3 and 9 is 21

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8 0
3 years ago
3/4 + (1/3 ÷ 1/6) - (-1/2) =?​
stepladder [879]

Answer:

[See Below]

Step-by-step explanation:

✦ Turn fractions into decimals:

  • \frac{3}{4} =0.75  
  • -\frac{1}{2} =-0.5
  • (We will do something different for \frac{1}{3} and \frac{1}{6}.)

✦ Divide:

  • \frac{1}{3} ÷ \frac{1}{6}=2
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✦ Simplified Equation:

  • 0.75+2-(-0.5)

✦ Add:

  • 0.75+2=2.75

✦ Subtract:

  • 2.75-(-0.5)=3.25
  • (Subtraction rule is if there is 2 negatives next to each other in a problem it turns into a positive.)

✦ So your answer would be:

  • \frac{13}{4} (Exact Form)
  • 3~ \frac{1}{4} (Mixed Number Form)
  • 3.25 (Decimal Form)

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

8 0
3 years ago
Find the surface area of the figure.<br> 12 in.<br> SA = [ ? ]in.?<br> 5 in.<br> 16 in.
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Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

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= 664 in.²

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2 years ago
A bag contains 8 blue marbles, 7 green marbles, and 5 red marbles.
Alina [70]

the probability is 5 out of 20

3 0
3 years ago
Can someone please help me??
Nesterboy [21]

Answer:

Answers are below

Step-by-step explanation:

x     y

0    $25,001.00

1     $25,000.95

2    $25,000.90

3    $25,000.86

I graphed the function on the graph below and found the values of y for each value of x.

*My graph showed that the initial value of the printer was $25,001.00, instead of $25,000.00*

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