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1. A

2. D

3. A

4. A

Step-by-step explanation:

Question 1:

Switch sides:

5(5 + 4v) > 105

Divide both sides by 5:

5(5 + 4v) / 5 > 105/5

Simplify:

5 + 4v > 21

Subtract 5 from both sides:

5 + 4v - 5 > 21 - 5

Simplify:

4v > 16

Divide both sides by 4:

4v/4 > 16/4

Simplify:

v>4

Question 2:

Expand:

5m - 3m - 6 < 24 - 3m

Add similar elements:

2m - 6 < 24 - 3m

Add 6 to both sides:

2m - 6 + 6 < 24 - 3m + 6

Simplify:

2m < -3m +30

Add 3m to both sides and simplify:

5m < 30

Divide both sides by 5:

5m/5 < 30/5

Simplify:

m<6

Question 3:

Expand:

18x + 12 ≤ -39 + x

Subtract 12 from both sides and simplify:

18x ≤ x - 51

Subtract x from both sides and simplify:

17x ≤ -51

Divide both sides by 17 and simplify:

x ≤ -3

Question 4:

Add similar elements:

-3m + 5m = 2m

Expand and simplify:

2m ≥ -12m

Add 12m to both sides and simplify:

14m ≥ 0

Divide both sides by 14 and simplify:

m ≥ 0

c

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).