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amid [387]
3 years ago
10

M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?

Mathematics
1 answer:
slavikrds [6]3 years ago
8 0
<h3>Answer:</h3>

49°

<h3>Step-by-step explanation:</h3>

∠DEF = ∠1 +∠2 = 50° +48° = 98°

∠ABC = ∠DEF because they are alternate exterior angles, hence congruent.

∠3 = ∠4 because they are vertical angles.

∠3 = (1/2)∠ABC = (1/2)·98° . . . . . ∠4 is half of ∠ABC

∠3 = 49°

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FINANCE
Zanzabum

Answer:

Step-by-step explanation:

Simple interest rate = 1000(1+11x4) = 4500

= 4500-1000=3500

Comppound interest rate = 100%+10%=110%/100%=1.1%

1000X(1.1)^4=1464.10

5 0
3 years ago
I need help!!!
Kruka [31]

Answer: x = -3/4 can not be a rational zero of the polynomial.

Step-by-step explanation:

We have the polynomial:

6x^5 + ax^3 -bx -12 = 0.

The theorem says that:

If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).

The factors of -12  (different than itself) are (independent of the sign).

1, 2, 3, 4 and 6.

So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.

The factors of 6 are:

1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.

Then the option that can not be a zero of the polynomial is

x = -3/4

because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.

4 0
4 years ago
Julie bought a drink for $2.99, two bags of chips for $1.29 each, and some gasoline at a convenience store. The price of gasolin
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2.99+1.29+2.59x

Hope this helps! <3
8 0
4 years ago
Read 2 more answers
For each of the figures, write an absoulute value equation that has the following solution set.
laila [671]

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

<h3>How to determine the absolute value equation?</h3>

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

Difference = 9

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

Read more about absolute value equation at:

brainly.com/question/2166748

8 0
2 years ago
Read 2 more answers
27.54 divided by 5.1
Taya2010 [7]

Answer:

5.4

Step-by-step explanation:

27.54 divided by 5.1 is simply 5.4

6 0
3 years ago
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