A straight line has equation y=5-3x
what is the gradient of the line?
​

-3

Step-by-step explanation:

1. rearrange so it's in the formula y=mx+C

2. y=-3x+5

y=mx+C

M=gradient

-3=m

gradient= -3

Part A: Triangle ABD is similar to Triangle ACD

Part B: Using HL Theorem, we can determine these 2 right triangles to be similar

Part C: DA = 3

Step-by-step explanation:

We can use HL (Hypotenuse-Leg) Theorem to help determine similarity. Since DA perpendicular bisects BC, we know that it forms the altitude and forms right triangles, which gives us legs and a hypotenuse,

To find DA, we are given right triangle ACD. We know that one leg, CD, is equal to 4. We also know that 3-4-5 is a Pythagorean Triple, so DA would be 3 and AC would be 5.