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anygoal [31]
3 years ago
14

Please answer quickly thank you

Mathematics
2 answers:
kari74 [83]3 years ago
6 0
X is either 25 or 45
Usimov [2.4K]3 years ago
6 0

For this case, we have that by definition:

Let "x" be an angle of any vertex of a right triangle.

tangent (x) = \frac {Cathet \ opposite} {Cathet \ adjacent}

So, if we want to find the angle x of the triangle shown we have:

tangent (x) = \frac {13} {6}\\x = arc \ tangent (\frac {13} {6})\\x = 65.23

Rounding:

x = 65\ degrees

Answer:

65 degrees

Option d


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The diagonals of a rectangle enclose an angle of measure 78 degree
katrin2010 [14]

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1  cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2  = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51°  =  x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1  cm²

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
If g(x) equals 3x + 5 / 2x - 1 state the Value of x for which g(x) if undefined​
Anvisha [2.4K]

Answer:

x=8/g

Step-by-step explanation:

g(x)= 3x+5/2x-1

gx = 3+5/2-1

gx = 8/1

gx = 8

gx = 8,where g will cancel itself and be the denominator on the other side as:

x=8/g

8 0
3 years ago
Determine the domain of the function f(x) = 2x - 4 when the range is {0, 12, 20}.
tatuchka [14]
Your answer is <span>{2, 8, 12}. The way you get this answer is by setting the function 2x - 4 equal to 0, 12, and 20 and solve for x. Your x-values become 2, 8, and 12</span>
3 0
3 years ago
Find the sum of the series. ∞ 5(−1)nπ2n + 1 32n + 1(2n + 1)! n = 0
wlad13 [49]
Could you give the question more clear?
5 0
3 years ago
HELP!!! HELPPP!!!
mihalych1998 [28]

Answer:

22.75

I did some work to try and find this answer sorry if it is wrong I tried.

7 0
3 years ago
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