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gregori [183]
3 years ago
12

How can I graph 34+12d>100 on a number line?

Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

Answer:

d> 5.5

The graph in the attached figure

Step-by-step explanation:

we have      

34+12d>100

Solve the inequality for d

That means ---> isolate the variable d

Subtract 34 both sides

12d>100-34\\12d> 66

Divide by 12 both sides

d>\frac{66}{12} \\d>5.5

The solution is the interval (5.5,∞)

All real numbers greater than 5.5

In a number line the solution is the shaded area at right of d=5.5 (open circle)

The value of d=5.5 is not included in the solution

The graph in the attached figure

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Can someone please help me with this asap ... Please and thank you
OLga [1]

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

  ∠MNR ≅ ∠PNR

  m∠MNR + m∠PNR = 180°

  2(m∠MNR) = 180°

  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

  Therefore, ∠QNR will be an acute angle (less than 90°).

  ∠MNR + ∠SNR = ∠MNS

  90° + ∠SNR = ∠MNS

  Therefore, m∠MNS will be more than 90°.

    ∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

    ∠MNR ≅ ∠PNR

     ∠QNR ≅ ∠SNR

     ∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

     Since, NR bisects ∠QNS,

     ∠QNR ≅ ∠RNS

     m∠QNR = m∠RNS = 30°

     m∠QNR + m∠RNS = 30° + 30°

     m∠QNR + m∠RNS = 60°

     m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

     m∠QNP = m∠QNS + m∠SNP

     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

4 0
2 years ago
She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?
ehidna [41]
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I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

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Answer:

The answer is in the attachment.

Step-by-step explanation:

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7 0
2 years ago
Read 2 more answers
A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent va
Aleonysh [2.5K]

A. Finding the slope

The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:

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The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:

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The general equation of a line is given as:

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= 33.33%

5 0
3 years ago
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