Answer:
because x is the middle integer of three consecutive integers
=> The remaining 2 numbers respectively are x - 1 and x + 1
=> the sum of these three integers is
x - 1 + x + x + 1 = 3x
9514 1404 393
Answer:
2. D
3. B
4. D
5. A
Step-by-step explanation:
2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*
soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3
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3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.
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4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.
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5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.
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* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.
Here, that looks like ...
84 / 36 = 2 r 12
36 / 12 = 3 r 0 . . . . . 12 is the GCF
Answer:
for every 1 packet you get 10 plants
for every 1 pound there are 5 cups
Step-by-step explanation:
Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:
4y-42 = 2y
From there you want to put the y onto one side:
4y-2y-42=0 -----> 2y-42=0
You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:
2y=42
Then divide both sides by 2 to get:
y= 21
From there you can plug 21 back into the original equation to find each angle.
4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42
So y = 21 and each angle is 42 degrees
2020 + <em>N</em> ≡ 0 (mod 11)
<em>N</em> ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
<em>N</em> ≡ -(183 • 11 + 7) (mod 11)
<em>N</em> ≡ -7 (mod 11)
<em>N</em> ≡ 4 (mod 11)
