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Veronika [31]
4 years ago
15

Two angles lie along a straight line. If m∠A is five times the sum of m∠B plus 7.2°, what is m∠B?

Mathematics
2 answers:
soldier1979 [14.2K]4 years ago
8 0

Answer:  28.8°

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

∠A = 5(∠B) + 7.2°

∠B = ∠B

Since they are on a straight line, they form a linear pair (sum = 180°)

∠A + ∠B = 180°

Use Substitution:

5(∠B) + 7.2° + ∠B = 180°

Add like terms:

6(∠B) + 7.2° = 180°

Subtract 7.2° from both sides:

6(∠B) = 172.8°

Divide both sides by 6:

∠B = 28.8°

Anvisha [2.4K]4 years ago
6 0

Answer

The answer is 28.8

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At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she
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Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using:  time = distance ÷ speed

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Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation
prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

                                       Sidney’s Grades           Phil’s Grades

Mean                                     82                                    78

Mean Absolute Deviation      3.28                                 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

                 Mean of Phil's   Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

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Step-by-step explanation:

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