Question

I need help with all the questions plzzz show work and I’ll give u brainliest plzzzzzZzZzZz i need help plzZZz

Answer 1

Answer:

The answers are given below.

Step-by-step explanation:

7. EFGH is a rectangle. Slope of HE is $- \frac {3}{5}$

So, the slope of EF is $\frac {-1}{- \frac {3}{5}}$

                                  = $\frac {5}{3}$

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 = $(2 \times 24)$ 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°