Qis equidistant from the sides of ∠tsr find m∠rst the diagram is not to scale.
a. 42
b. 4
c. 8

The answer is A. (42)

WORKINGS

Since Q is equidistant from the sides of ∠TSR,

∠TSQ = ∠QSR

m∠TSQ = 4x + 5

m∠QSR = 8x – 11

Therefore, 4x + 5 = 8x – 11

Solving for x

4x + 5 = 8x – 11

Add 11 to both sides of the equation

 4x + 5 + 11 = 8x – 11 + 11

4x + 16 = 8x

Subtract 4x from both sides of the equation

4x + 16 – 4x = 8x – 4x

16 = 4x

4x = 16

x = 16/4

x = 4

∠RST is the same as ∠TSR

m∠RST = ∠TSQ + ∠QSR

m∠RST = 4x + 5 + 8x – 11

m∠RST = 12x – 6

m∠RST = (12 x 4) – 6

m∠RST = 48 – 6

m∠RST = 42 degrees

step-by-step explanation:

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.