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saveliy_v [14]
4 years ago
12

Fill in the blanks:

Mathematics
1 answer:
lys-0071 [83]4 years ago
3 0
Reflection across the x-axis, followed by a, ?
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Find the following GCD and LCM: (3.a) GCD(343,550), LCM(343, 550). (3.b) GCD(89, 110), LCM(89, 110). (3.c) GCD(870, 222), LCM(87
Ierofanga [76]

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

5 0
3 years ago
(48. PERSEVERE Wha
katrin2010 [14]

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 = C(4,3)

=4            [ C(n,n-1)=n ]

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.

6 0
3 years ago
Pls answer this question
Paraphin [41]
What is the question
4 0
3 years ago
OT bisects ∠DOG. Find the measure of ∠DOG if ∠DOT = 4x + 4 and ∠TOG = 5x – 3
g100num [7]

Answer:

\huge\boxed{64^o}

Step-by-step explanation:

If OT is bisects ∠DOG, then m∠DOT = m∠TOG. Therefore

4x+4=5x-3    |<em>subtract 4 from both sides</em>

<em />4x+4-4=5x-3-4\\\\4x=5x-7<em>|subtract 5x from both sides</em>

<em />4x-5x=5x-5x-7\\\\-x=-7<em>|change the signs</em>

<em />x=7<em />

Calculate the measure of ∠DOG

m∠DOG = 2(m∠DOT)

m\angle DOG=2(4\cdot7+4)=2(28+4)=2(32)=64

6 0
3 years ago
Philipe
UkoKoshka [18]
<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

\frac{12}{100} \times x = 360\\\\0.12x = 360\\\\x = \frac{360}{0.12}\\\\x = 3000

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

6 0
3 years ago
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