ST is a midsegment, which tells you that BD=2(ST) or ST=½BD. Use that to substitute the values and find ST.
BD=2(ST)
29+x=2(2x+31)
29+x=4x+62
29=3x+62
-33=3x
x=-11
Now that we know x, we can substitute that into 2x+31 to find ST
ST=2x+31
ST=2(-11)+31
ST=-22+31
ST=9
Answer:
40
Step-by-step explanation:
2x+100=180
-100 -100
2x =80
/2 /2
x =40
Answer:
120
Step-by-step explanation:
nCk or C(n, k) are ways to write the "combinations" function. That function tells you how many combinations of n things there are when they are taken k at a time.
Here, you have 10 vegetables, and you want to count the number of ways you can take 3 at a time. You are being asked to find the value of 10C3, or C(10,3). You do this by putting 10 where n is in the formula, and 3 where k is. Then do the arithmetic.
10C3 = (10!)/(3!(10-3)!) = 10·9·8/(3·2·1) = 5·3·8 = 120
120 3-vegetable plates may be made.
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