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Burka [1]
3 years ago
6

If m1=2x° and m3=3x° what is m1

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

2x + 90 +  3x = 180

5x + 90 = 180

5x = 90

x = 18

Plug 18 into 2x

2(18) = 36

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Find all values of aa that make |a|=0|a|=0. give your answer as a comma-separated list.
Alecsey [184]

Given is a modulus function |f(x)| that gives absolute value of the signed number written inside it.

For example |x|=2 means x = 2 or -2.

If the absolute value modulus function is zero ( i.e. |f(x)| = 0), then the expression inside the modulus function must be zero as well. It means f(x) = 0.

Now we have |a| = 0. So the possible solution of |a| = 0 must be {0}.

Hence, the answer is {0}.

6 0
3 years ago
You deposited $800 into an account paying 4.5% interest compounded continuously. A. How much would be in the account in 5 years?
elena55 [62]

Answer:

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

A) From the information given,

P = $800

r = 4.5% = 4.5/100 = 0.045

t = 5 years

Therefore,

A = 800 x e^(0.045 x 5)

A = 800 x e^(0.225)

A = $1002

B) For it to double,

A = 2 × 800 = 1600

Therefore,

1600 = 800 x e^(0.045 x t)

1600/800 = e^(0.045t)

2 = e^(0.045t)

Taking ln of both sides, it becomes

Ln2 = 0.045t

0.693 = 0.045t

t = 0.693/0.045

t = 15.4 years

8 0
3 years ago
647,224 likes/8 hours to calculate a u it rate for likes per minute, what new ratio would you create?
Sophie [7]
There are 480 minutes in 8 hrs so 647224/480. However you can only simplify it to 80903 likes/ 60 minutes (1hr).
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3 0
3 years ago
Read 2 more answers
Please help with this question on factorisation. Please show steps because I want to understand.
inn [45]

Answer:

(x - 2y)((x - 2y) - 4) + 4

Step-by-step explanation:

Given

x^2 - 4xy - 4x + 4y^2 + 8y + 4

Required

Factorize

x^2 - 4xy - 4x + 4y^2 + 8y + 4

Rearrange

x^2 - 4xy + 4y^2- 4x  + 8y + 4

Group into three

(x^2 - 4xy + 4y^2)- (4x  - 8y) + (4)

Factorize the first bracket

(x^2 - 2xy- 2xy + 4y^2) - (4x  - 8y) + (4)

x(x - 2y) - 2y(x - 2y)- (4x  - 8y) + (4)

(x - 2y)(x - 2y) - (4x  - 8y) + (4)

Factorize the second bracket

(x - 2y)(x - 2y) - 4(x  - 2y) + 4

x - 2y is a common factor of (x - 2y)(x - 2y) - 4(x  - 2y)

So, the expression becomes

(x - 2y)((x - 2y) - 4) + 4

The expression cannot be further simplified;

<em>Hence, </em>x^2 - 4xy - 4x + 4y^2 + 8y + 4<em> is equivalent to </em>(x - 2y)((x - 2y) - 4) + 4<em></em>

5 0
3 years ago
Which inequality is true if p = 3.4?
Yuri [45]

Answer:

M

Step-by-step explanation:

4 0
3 years ago
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