Ineed with all the questions plzzz show work and i’ll give u brainliest pl i need pl

The answers are given below.

Step-by-step explanation:

7. EFGH is a rectangle. Slope of HE is

So, the slope of EF is

                                  =

8 .PQRS is a square.

So, m∠QSR = 45°

[since the diagonals bisect the internal angles of a square]

9. m∠PTQ = 90°

[since the diagonals of a square intersect each other at right angles]

10. RT = 24 unit ,

so,

PR = unit

     = 48 unit    [since the diagonals of a square bisect each other]

So, SQ = PR = 48 unit

[since the diagonals of a square are equal]

11. Yes, a squae is a rectangle

12. Since RSTU is a rectangle,

so, ∠RUS + ∠SUT = 90°

⇒3x + 6 + 5x - 4 = 90°

⇒x = 11°

So, ∠RUS = 3x + 6 = 39°

idk

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.