I think it’s 5 but I I’m positive but I hope it helps
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
Don’t solve the whole equation, just solve the 
part of the equation, which is equal to 24. So the final equation is this:
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Answer:
8x-31 = 2x+92
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
8x-31 = 2x+92
Answer:
G
Step-by-step explanation:
Answer:
8 individual boots must be picked to be sure of getting a matched pair.
Step-by-step explanation:
Step 1: Using the pigeonhole principle.
The pidgeonhole principle states that if n items are put into m containers, with n > m, then at least one container must contain more than one item.
A good illustration of the pigeonhole principle is the number of gloves one can have. For example, if one has three gloves, then one must have at least two right-hand gloves, or at least two left-hand gloves, because one has three objects, but only either a left hand or a right, two options of handedness to put on the gloves. Thus the third glove must be a pair of either the right-hand or left-hand glove
Step 2: Determining n and m
Since there are 7 pairs of boots, there will be 7 × 2 individual boots; n = 7
Now since there cannot be more than 7 pairs of the boot, m = 7
Step 3: Determining the minimum number of individual boots that must be picked in order to get a pair.
After all the 7 individual boots have been picked, the next individual boot picked must be a pair of one of the 7 boots picked. Thus, 7 + 1 = 8 individual boots must be picked to be sure of getting a matched pair.
