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valkas [14]
3 years ago
9

To the nearest 10th, find the measure of the missing side.

Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

x = 30.7

Step-by-step explanation:

Given

See attachment

Required

Find x

To find x, we make use of:

cos(\theta) = \frac{Adjacent}{Hypotenuse}

In this case, it is:

cos(36) = \frac{x}{38}

Multiply both sides by 38

38 * cos(36) = \frac{x}{38}*38

38 * cos(36) = x

38 * 0.8090= x

30.742= x

x = 30.742

x = 30.7 -- approximated

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In ΔBCD, \overline{BD} BD is extended through point D to point E, m∠CDE = (6x-13)^{\circ}(6x−13) ∘ , m∠BCD = (2x+10)^{\circ}(2x+
AveGali [126]

Answer:

  m∠CDE = 35°

Step-by-step explanation:

The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...

  6x -13 = (2x+10) +(x +1)

  3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify

  x -8 = 0 . . . . . . . . . . . . . . divide by 3

  x = 8 . . . . . . . . . . . . . . . . . add 8

  6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE

The measure of angle CDE is 35°.

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3 years ago
Find m&lt;1<br> 32<br> 359<br> 32°<br> 35°<br> Ob<br> Od<br> 90°<br> 58°
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Answer:

d- m<1 = 58

Step-by-step explanation:

To find this answer we have to do multiple steps.

So we know that vertical angles are congruent by the definition of vertical angles, <u><em>look at the picture</em></u>    

So, we also know that a triangle =180 degrees

therefore we can add 32 and 90 to find the 3rd angle measure

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So, m<1=58 degrees

7 0
3 years ago
Find the value of x.
Semenov [28]

Answer:

x= 35.7339234

Step-by-step explanation:

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4 0
3 years ago
Felipe has been given a list of 4 bands and asked to place a vote. His vote must have the names of his favorite, second favorite
Genrish500 [490]

Filipe can choose his favorite from 4 bands, so he has 4 ways to determine the favorite.

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4·3·2=24 ways.

Answer: 24.

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3 years ago
If figure 1 has 4 tiles, fig 2 has 10, and fig 3 has 16... What is my rule?
FinnZ [79.3K]

Answer:

an = 6n -2

Or

an+1 = an +6

Step-by-step explanation:

to go from 4 to 10 we add 6 tiles

to go from 10 to 16 we add 6 tiles

We add 6 tiles each time

an = a1 + d(n-1)  where an is the value of the nth term  a1 is the first term  d is the common factor and n is the term number

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an = 4 + 6n -6

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Or

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7 0
3 years ago
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