So, we're finding ratios first okay, for every 4ft:12in and 6ft:18in so for every one foot there is 3 inches which is your rate of incline 1:3 or every one foot there are 3 inches of incline hope this helped you have an amazing day
Let x represent number of bracelets and y represent number of necklaces.
We have been given that a jeweler made 7 more necklaces than bracelets. This means that number of necklaces will be
. We can represent this information in an equation as:

We have been given that the amount of gold in each bracelet is 6 grams, so amount used for x bracelets would be
grams.
We are also told that the amount of gold in each necklace is 16 grams, so amount used for y necklaces would be
grams.
Since the jeweler used 178 grams of gold, so we will equate the amount of gold used in x bracelets and y necklaces with 178 as:

Therefore, our required system of equations would be:


-3x-2.5=y would be an equivalent to that equation
Answer: Option A and Option C.
Step-by-step explanation:
For this exercise it is important to know the definition of "Vertical Angles".
When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".
By definition, Vertical angles are congruent, which means that the have the equal measure.
In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.
You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:
and 
and 
Answer:
Option A , C and D are correct.
Step-by-step explanation:
Double Facts states that the additions in which a number is added to itself.
then; by definition of double facts
Use Double facts to find the sum of 3 + 2
3 + 2
=3 + (3 - 1)
= 3+ 3 - 1
= 6 - 1
= 5
similarly,
3+2 = (1+2) + 2 = 1 + 2+2 = 1 + 4 = 5
Also;
3 + 2 = 3 + (1+1) = 3 +1+1 = 5
therefore, the double facts that used to find the sum of 3+2 are; 2+2 , 3+3 and 1+ 1.