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Readme [11.4K]
3 years ago
14

Need help on the last 2 questions..!

Mathematics
2 answers:
kifflom [539]3 years ago
5 0

What they want is the measure of angle 3 + the measure of angle 4.

Since angle 3 and angle 4 together create a straight line, this means they are supplementary, or adding up to 180°. So, m<4 + m<3 = 180

WITCHER [35]3 years ago
4 0

24)

<3 + <4 = 180 (supplementary angles)

25)

m<1 +  m<2 = 180  (supplementary angles, sum = 180)

4x + 12 +  7x + 3 = 180

11x + 15 = 180

11x = 165

 x = 15

So

m< 1 = 4x + 12 = 4(15) + 12 = 72°

m<2 = 7x + 3 = 7(15) + 3 = 108°

m<3 = m<1 (vertical angles)

6y = 72

 y= 12

 Answer

 x = 15 ;  m< 1 = 72°,   m<2 = 108°  and  y = 12


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7 0
3 years ago
what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?
marshall27 [118]
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
Let the number be n.  Then 2n - ------- = 1
                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

Here a=2, b= -1 and c= -3.  Let's find the discriminant b^2-4ac first:

disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
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x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
8 0
3 years ago
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kirza4 [7]

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85 + 12 = 97

85 - 12 = 73

Correct Answer: B. 73 - 97

Hope this helps!! :)

7 0
3 years ago
Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population
eimsori [14]

Answer:

Yes, The analysis involves a statistical test.

The hypothesis are H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L

Step-by-step explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let \mu_R to be the average reaction time of their right hands for the right-handed participants and \mu_L to be the average reaction time of their left hands.

Therefore, the hypothesis are H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L

3 0
3 years ago
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