Juan used algebraic properties to make an equivalent expression. He listed properties in the order that he used them.

15+7n-8+3n
=7n+3n+15-8
=(7+3)n+15-8
=10n+7

12n+2 (4n+2)
= 12n+8n+4
=(12n+8)n+9
=20n+9

15n+(7n+9)
=(15n+7n)+9
=(15+7)n+9
=22n+9

12n+6+7n
=(12n+7n)+6
=(12n+7)n+6
=19n+6

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).

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without

“a term can be a signed number, a variable, or a constant multiplied by a + sign or j sign. in , the terms are 5x , 3y and 8. when a term is made up of a constant multiplied by a variable or variables, that constant is called a coefficient.” i hope this you.

idk what the heck he answer is, i’m just putting this here so i finish my account