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Ierofanga [76]
3 years ago
11

Find m1 and m2 . Tell which theorem can be used. m1 = by the… m2 = by the…

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

122° and angle 1 are alternate interior angles and hence they are equal.

m1 = 122°

122° + angle 2 = 180° [sum of co interior angles is 180°]

angle 2 = 180° - 122°

m2 = 58°

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2(x-3)+3=6x-5 solve it
Westkost [7]

Answer:

X=1/2

Step-by-step explanation:

2(x-3)+3=6x-5

2x-6+3=6x-5

2x-3=6x-5

2x-6x-3=-5

-4x=-5+3= -2

-4x= -2

x= 1/2

5 0
2 years ago
1, 3, 6, 10, 15 is it arithmetic, geometric or neither
Gekata [30.6K]

The given sequence is neither arithmetic nor geometric.

Further explanation:

In order to check whether a sequence is geometric or arithmetic we have to find the common ratio and common difference respectively

Common difference is the deifference between cunsecutive terms of a sequence while common ratio is the ratio between two consecutive terms.

Common difference is denoted by d and common ratio is denoted by r

  • If the common difference is same then the given sequence is an arithmetic sequence
  • If the common ratio is same then the given sequence is a geometric sequence

Given

1, 3, 6, 10, 15

Common difference:

Here

a_1=1\\a_2=3\\a_3=6\\a_4=10\\a_5=15\\Common\ Difference=a_2-a_1=3-1=2\\a_3-a_2=6-3=3\\a_4-a_3=10-6=4

As the common difference is not same, the given sequence is not an arithmetic sequence

Common Ratio:

r=\frac{a_2}{a_1}=\frac{3}{1}=3\\\frac{a_3}{a_2}=\frac{6}{3}=2\\\frac{a_4}{a_3}=\frac{10}{6}=1.6

As the common ratio is also not same the sequence is not a geometric sequence.

The given sequence is neither arithmetic nor geometric.

Keywords: Arithmetic sequence, Geometric Sequence

Learn more about sequences at:

  • brainly.com/question/12597153
  • brainly.com/question/12685192

#LearnwithBrainly

7 0
3 years ago
Solve as a difference equation.
zhannawk [14.2K]

Solution :

Let y = amount of caffeine at a given time in body.

n = number of hours

So $\frac{dy}{dn}= - \ Y$

$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn

ln Y = -0.01 n + C

At n = 0, Y = 130 mg

ln 130 = -0.01 x 0 + C

C = ln 130

$ \ln \frac{Y}{130} =- 0.01 \ n$

$Y = 130 \ e^{-0.01n}$

When Y = 65

$65 = 130 \ e^{-0.01 n }$

$\frac{65}{130}=e^{-0.01n}$

$\ln \frac{1}{2} = -0.01 \ n$

n = 69.315 hours

At n = 24 hours

$Y = 130 \ e^{-0.01 \times 24}$

Y = 102.26 mg

8 0
2 years ago
6 cm
navik [9.2K]

Answer: don't know sorry

Step-by-step explanation:

5 0
2 years ago
the perimeter of an equilateral triangle is givn as 15x+30. write two different expressions to represent the perimeter. use fact
uysha [10]

Answer:

15x+30 ; 15(x+2)

Step-by-step explanation:

You can write it as it is:

15x+30

OR

15(x+2)

6 0
2 years ago
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