X represents (smaller) angle 1, y represents (larger) angle 2:
180 = x + y
y = 6x + 5
180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x
180 = 25 + y
155 = y
the smaller angle (x) is 25 degrees.
Hey there!
Here is your question -

In this equation, you're looking for n alone. To keep the variable alone, you have to do the opposite of what's happening to the variable.
In this equation, 12 is being added to n. The opposite of that is subtracting 12.
Subtract 12 from both sides -

Your answer is -8.
Hope this helps! :)
Answer:
Distance traveled 17.5 kilometers
Step-by-step explanation:
We can use the following equation to find the distance traveled,
Distance traveled = Speed * Time
First we need to find the total time he walked = 2.30 p.m. - 11.a.m.
=
hours
Now we can substitute the values to the equation,
Distance traveled =
kilometers per hour *
hours
=
kilometers
= 17.5 kilometers
Answer:
Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
Also
The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Beverages:
3 from a set of 15. So

Appetizers:
3 from a set of 10. So

Desserts:
3 from a set of 13. So

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?
By the fundamental counting principle, as beverages, appetizers and desserts are independent:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.
Answer:
Includes Steps
Step-by-step explanation:
3/4x-7 =3(1/6x+1)
3/4x-7=3/6x +3
1/4x=10
x=40