What is the value of x? enter your answer in the box x = [ ]

Step-by-step explanation:

We have been given an image of two right triangles and we asked to find the value of x.

First of all , we will find the length of segment RT using sine.

Upon substituting our given values in above formula we will get,

Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:

Multiplying both sides of our equation by 4 we will get,

Substituting we will get,

Therefore, the value of x is 4 units.

answer: answer

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: