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skelet666 [1.2K]
3 years ago
10

Find the measure of the missing angle using the exterior angle sum theorm.

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

85°

Step-by-step explanation:

The exterior angle of a triangle is=sum of the opposite interior angles

So

? °=45°+40°

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90 3/10% as a decimal
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90+3/10 over 100

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A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long w
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cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}

5 0
3 years ago
Summarize the data by filling in the frequency (to the nearest whole number), the relative frequency (3 decimals), and the perce
RoseWind [281]

Answer:

The answer is below

Step-by-step explanation:

The relative frequency is the proportion of a class or interval within a category. It is represented by the formula:

Relative frequency = frequency / total frequency

The percent frequency is the relative frequency expressed in percentage, it is given by the formula:

Percent frequency = Relative frequency × 100%

Using the formulas above, the table is filled:

The total frequency = 39

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  2/39 = 0.0513              0.0513 × 100% = 5.13%

15 - 17                  8                  8/39 = 0.2051              0.2051 × 100% = 20.51%

18 - 20                 11                 11/39 = 0.2821              0.2821 × 100% = 28.21%

21 - 23                  9                 9/39 = 0.2308             0.2308 × 100% =23.08%

24 - 26                 9                 9/39 = 0.2308             0.2308 × 100% =23.08%

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  0.0513                          5.13%

15 - 17                  8                  0.2051                          20.51%

18 - 20                 11                 0.2821                          28.21%

21 - 23                  9                 0.2308                          23.08%

24 - 26                 9                 0.2308                          23.08%

7 0
3 years ago
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