Can somebody help me with this ?? :)

see explanation

Step-by-step explanation:

Since Δ QRS ≅ Δ TUV then corresponding sides are congruent, that is

QS ≅ TV , thus

7v - 6 = 3v + 2 ( subtract 3v from both sides )

4v - 6 = 2 ( add 6 to both sides )

4v = 8 ( divide both sides by 4 )

v = 2

Thus

QS = 3(2) + 2 = 6 + 2 = 8

TV = 7(2) - 6 = 14 - 6 = 8

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).