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tatuchka [14]
3 years ago
8

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Alex777 [14]3 years ago
3 0
<h2><u>Solution:</u> </h2>

<u>Steps of Statement: </u>We will solve right Angled ∆ RST. We will use Trigonometric Ratio to solve this Question.

<u>Now, In ∆ RST , Where angle C is 90° and angle D is 60° </u>

∠RTS = 60°

So, Sin 60° = RS / RT

☛ √3/2 = 2√3 / RT

☛ RT = 4

<u>Now, Let's Solve Right angled ∆ QRT </u>

tan 45° = QR / RT

☛ 1 = x / 4

☛ x = 4

<h2>Therefore, Required Value of x is <u>4</u>. </h2>

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(Problem on image.)...
ANEK [815]
Hey there! :) 

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem! 

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in! 

a² + b² = c²  → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

\sqrt{b^2} =  \sqrt{300}

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~
7 0
3 years ago
3x-4y=16 and 5x+2y=44 using elimination strategy and comparing strategy
chubhunter [2.5K]

3x-4y=16 \\5x+2y=44 \\ \\3x-4y=16 \\10x+4y=88 \\ \\13x=104 \\x=\boxed{104\div13=8}\\ \\3\times8-4y=16 \\24-4y=16 \\-4y=-8 \\y=\boxed{2}

5 0
3 years ago
Given the graph of g(x), describes the transformation of the parent function f(x)=2^x
salantis [7]

Answer:

The transformation being described is from g(x)=x2 g ( x ) = x 2 to f(x)=x2 f ( x ) = x 2 . The horizontal shift depends on the value of h . The horizontal shift is described as: f(x)=f(x+h) f ( x ) = f ( x + h ) - The graph is shifted to the left h units

6 0
2 years ago
Solve for x mathematics
Bas_tet [7]

Answer:

x = 6

Step-by-step explanation:

9 / 6 = (2x - 6) / 4 (by the side splitter theorem)

6(2x - 6) = 36

12x - 36 = 36

12x= 72

x = 6

3 0
3 years ago
Read 2 more answers
Which expression is equivalent to t+4+3-2
FrozenT [24]

Answer:

t+5

Step-by-step explanation:

We can combine like terms, and get t+(4+3-2) to get t+5.

Hope this helped!

3 0
3 years ago
Read 2 more answers
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