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:
Step-by-step explanation: 7 more workers
Answer:
![\[3x+\frac{2}{3}\]](https://tex.z-dn.net/?f=%5C%5B3x%2B%5Cfrac%7B2%7D%7B3%7D%5C%5D)
Step-by-step explanation:
![\[f(x)=x-\frac{1}{3}\]](https://tex.z-dn.net/?f=%5C%5Bf%28x%29%3Dx-%5Cfrac%7B1%7D%7B3%7D%5C%5D)
![\[g(x)=3x+1\]](https://tex.z-dn.net/?f=%5C%5Bg%28x%29%3D3x%2B1%5C%5D)
Hence, ![\[(f o g)(x)=f(3x+1)\]](https://tex.z-dn.net/?f=%5C%5B%28f%20o%20g%29%28x%29%3Df%283x%2B1%29%5C%5D)
But, ![\[f(3x+1)=(3x+1)-\frac{1}{3}\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D%283x%2B1%29-%5Cfrac%7B1%7D%7B3%7D%5C%5D)
Simplifying,
![\[f(3x+1)=3x+(1-\frac{1}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%281-%5Cfrac%7B1%7D%7B3%7D%29%5C%5D)
= ![\[f(3x+1)=3x+(\frac{3-1}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%28%5Cfrac%7B3-1%7D%7B3%7D%29%5C%5D)
= ![\[f(3x+1)=3x+(\frac{2}{3})\]](https://tex.z-dn.net/?f=%5C%5Bf%283x%2B1%29%3D3x%2B%28%5Cfrac%7B2%7D%7B3%7D%29%5C%5D)
Hence, ![\[(f o g)(x)=3x+(\frac{2}{3})\]](https://tex.z-dn.net/?f=%5C%5B%28f%20o%20g%29%28x%29%3D3x%2B%28%5Cfrac%7B2%7D%7B3%7D%29%5C%5D)
Well, you need a diagram (see attached).
Since angle S = angle T then
9x -11 = 7x -3 ...... 2x = 8 ........ x = 4
RS = RT = 4
There must be some more information that can't be seen
Answer:
3.3075 liters of paint
Step-by-step explanation:
7.40 (red paint) + 6.26 (blue paint ) = 13.66 (purple paint)
He pours 13.66 liters of purple paint equally into 4 containers and has 0.43 liters left.
x + x + x + x = 13.66 - 0.43
4x = 13.23
x = 13.23/4
x = 3.3075
