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cluponka [151]
2 years ago
9

Find the measure of angles 1–12 in the complex figure. Explain how you found each angle measure.

Mathematics
1 answer:
soldier1979 [14.2K]2 years ago
8 0
I'll start with the triangle figure. 
Interior angles of a triangle is equal to 180°. The given triangle is an Isosceles triangle. It has 2 equal sides and 2 equal angles.

#7 is 69° because its vertical angle is 69°. Vertical angles are equal.
#8 is 111°. As I said, isosceles triangle has 2 equal angles. The angle that is beside #8 is 69°, equal to #7. So, 180° - 69° = 111°
Interior angles are already given except for #4. So, 180° - 69° - 69° = 42°
#3 is computed by 180° - 42° - 69° = 69°

#9 = 116° ; alternate interior angles are equal.
#10 = 180° - 116° = 64°

The last triangle looks like an equilateral triangle. It means that its sides and angles are equal.

360° / 6 = 60°
#1, #2, #5, and #6 = 60° each
#11 = 60° - equilateral triangle, all interior angles are equal.
#12 = 30°; 180° - 90° - 60° =  30°

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andriy [413]

let us repersent the number of student tickets, then 's + 20' is repersenting the number of adult tickets.

The equation for the total tickets can be experssed as the following:

4.00 * s + 8.00 * ( s + 20 ) = 880.00

solving for 's=60', there were 60 student tickets.

60 + 20 = 80

there were 80 adult tickets.

Hope helps!-Aparri


5 0
2 years ago
1/2 (3/2 y + 1/3) = -1/2 (y- 5/2)
dem82 [27]

<em>1</em><em>/</em><em>2</em><em> </em><em>[</em><em> </em><em>(</em><em>3</em><em>/</em><em>2</em><em>)</em><em>y</em><em> </em><em>+</em><em> </em><em>1</em><em>/</em><em>3</em><em>]</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>/</em><em>2</em><em> </em><em>[</em><em>y</em><em>-</em><em>5</em><em>/</em><em>2</em><em>]</em>

<em>(</em><em>3</em><em>/</em><em>2</em><em>)</em><em>y</em><em> </em><em>+</em><em> </em><em>1</em><em>/</em><em>3</em><em> </em><em>=</em><em> </em><em>-</em><em>(</em><em>1</em><em>/</em><em>2</em><em>)</em><em>y</em><em> </em><em>+</em><em> </em><em>3</em>

<em>(</em><em>3</em><em>/</em><em>2</em><em> </em><em>+</em><em> </em><em>1</em><em>/</em><em>2</em><em>)</em><em>y</em><em> </em><em>=</em><em> </em><em>3</em><em> </em><em>-</em><em> </em><em>1</em><em>/</em><em>3</em>

<em>2y</em><em> </em><em>=</em><em> </em><em>8</em><em>/</em><em>3</em>

<em>y</em><em> </em><em>=</em><em> </em><em>4</em><em>/</em><em>3</em>

<u><em>y</em><em> </em><em>=</em><em> </em><em>1.33</em></u>

<em>#</em><em>$</em><em>#</em><em>HOPE</em><em> </em><em>YOU</em><em> </em><em>UNDERSTAND</em><em> </em><em>#</em><em>$</em><em>#</em>

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5 0
2 years ago
Find the area of a parallelogram with base (b) and height (h)
anyanavicka [17]
Answer is C) 1,095.2 cm2
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7 0
3 years ago
Really need help with this ​
IrinaVladis [17]

Answer:

36.89°

Step-by-step explanation:

tan x = 15/20=3/4

x = 36.89

5 0
2 years ago
Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the investment to grow to $10,000? U
Lady bird [3.3K]

Answer:

7

Step-by-step explanation:

sing the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1

2  = e^0.1t

log 2  =    log e^0.1t               >     log to the base e

log 2  =  0.1t * 1              log e to the base e  =1

0.6931 = 0.1t

t =   6.931

  =    7 years

Hope this helps <3

Wanna get ranked faster? Comment "rankup"

4 0
3 years ago
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