Answer with Step-by-step explanation:
(3.a) GCD(343,550), LCM(343, 550).
343=7×7×7
550=5×5×2×11
GCD(343,550)=1
LCM(343,550)=7×7×7×5×5×2×11=188650
(3.b) GCD(89, 110), LCM(89, 110).
89=1×89
110=5×2×11
GCD(89, 110)=1
LCM(89, 110)=89×5×2×11=9790
(3.c) GCD(870, 222), LCM(870, 222).
870=2×3×5×29
222=2×3×37
GCD(870, 222)=2×3=6
LCM(870, 222)=2×3×5×29×37=32190
Answer: 4
Step-by-step explanation:
We know that a plane is 2 dimensional surface that extends infinitely far.
The number of points required to define a plane = 3
Here , we have 4 points A, B, C, and D.
So, the number of possible combinations of 3 points to make a plane from 4 points = 
[
]
Hence, the greatest number of planes determined using any three of the points A, B, C, and D if no three points are collinear = 4.
Answer:

Step-by-step explanation:
If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore
|<em>subtract 4 from both sides</em>
<em />
<em>|subtract 5x from both sides</em>
<em />
<em>|change the signs</em>
<em />
<em />
Calculate the measure of ∠DOG
m∠DOG = 2(m∠DOT)

<h3>Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360</h3>
<em><u>Solution:</u></em>
Given that,
Philipe works for a computer store that pays a 12% commission and no salary
We have to find his weekly sales have to be for him to earn $360
From given, we can say,
12 % of weekly sales will earn him $ 360
12 % of weekly sales = 360
Let "x" be the weekly sales
12 % of "x" = 360
Solve the above expression

Thus Philipe has to make a weekly sales of $ 3000 so that he can earn $ 360