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:
405
Step-by-step explanation:
45% of 900
=(45/100) . 900
=405
5 and 1/4 can be 5.25 so all you have to do is divide that by 3 and you’ll get 1.75 per container.
If you wanted to keep it as a fraction, 5 and 1/4 would become 21/4 (you do 5 x 4= 20 + 1) and for fractions I always remembered dividing as ‘Keep, Change, Flip’ so you would do 21/4 for keep. Change would be to change the sign from division to multiplication. And for Flip you would flip 3 over 1 (3/1) to 1/3
Putting that all together would be 21/4 x 1/3 which also equals 21/12 by multiplying the denominators and numerators. Then you simplify, dividing it by 3 to equal 7/4 and another simplify to be 1 and 3/4 which is 1.75.
Hope this helps!
Answer: screenshot below
Step-by-step explanation:
-1 means 1 space left from 0 on the x axis
5/2 means 5/2 spaces above 0 on the y axis
i converted 5/2 to 2 1/2 to make it easier and plotted the point by drawing a line from -1 and 2 1/2 (this is not needed for the showing of the answer)
the point is where the lines connect, aka (-1, 5/2)
Answer:
√7 ≈ 2.646
Step-by-step explanation:
The law of cosines is applicable. It tells you ...
c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.
Filling in the given information, you have ...
c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7
c = √7 ≈ 2.646
The length of the third side is √7, about 2.646 units.
