Which expression provides the measure of angle n? tan (7/6) tan (6/7) tan -1(7/6) tan -1(6/7)

Hello from MrBillDoesMath!

tan ^(-1)  (6/7), the last expression in the list

Discussion:

In a right triangle,

tan(@) = side opposite angle\side adjacent to angle.

In our triangle, this becomes

tan(@) = LM \ MN =  6/7 =>

@ is the inverse tangent of (6/7)

Regards,  

MrB

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130