Anthony received $150 for his birthday this year. this year was $10 less than half the amount he received last year. how many money did anthony receive for his birthday last year?

$320

Step-by-step explanation:

To solve this we just have to create an equation, in the sentence it says that eh reveived 10 than half of what he got last year, so the equation would look like this:

2(150 + 10)= x

x=2(160)

x=320

SO he actually got 320 dollars for his birthday last year.

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).

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol