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2 years ago

20 points.Solve for a.

Mathematics

2 answers:

Hoochie [10]2 years ago

4 0

Answer:

30 degrees

Step-by-step explanation:

The sum of exterior angles = 360 degree

102 + 73 + 67 + 88 + a = 360

330 + a = 360

a = 360 - 330

a = 30 degree.

HOPE THIS HELPED YOU

AlladinOne [14]2 years ago

3 0

Answer:

a = 30

Step-by-step explanation:

The total exterior angles of a pentagon is 360 degrees, meaning:

102 + 73 + 67 + 88 + a = 360

330 + a = 360

Subtract 330 from both sides:

330 + a - 330 = 360 - 330

a = 30

Hope this helps!

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What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

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3 years ago

More help :3 please and thnx

Mariana [72]

Answer:

a. there's a lot of options but here are a few: 1 and 5, 5 and 6, 2 and 1, 2 and 6

b. also a lot of options but here are a few: 1 and 6, 5 and 2, 3 and 8, 4 and 7

Step-by-step explanation:

supplementary angles are two angles that add up to 180 degrees, so essentially two angles that, combined, are equal to a straight line.

vertical angles are angles that are opposite each other when two lines cross.

6 0

3 years ago

What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?

german

Answer:

The closed linear form of the given sequence is $a_{n}=0.75n-0.45$

Step-by-step explanation:

Given that the first term $a_{1}=0.3$ and $a_{n+1}=a_{n}+0.75$

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

$a_{n}=a_{1}+(n - 1)d$ (where d is the common difference)

The above equation is of the given form $a_{n+1}=a_{n}+0.75$

Comparing this we get d=0.75

With $a_{1}=0.3$ and d=0.75

We can substitute these values in $a_{n}=a_{1}+(n - 1)d$

$a_{n}=a_{1}+(n - 1)d$

$=0.3+(n-1)(0.75)$

$=0.3+0.75n-0.75$

$=-0.45+0.75n$

Rewritting as below

$=0.75n-0.45$

Therefore $a_{n}=0.75n-0.45$

Therefore the closed linear form of the given sequence is $a_{n}=0.75n-0.45$

3 0

3 years ago

100 points plz anwser <br> Complete the inequality for this graph.<br> y = [?]<br> Enter

marshall27 [118]

Answer:

Step-by-step explanation:

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3 years ago

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madam [21]

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3 years ago

20 points.Solve for a.​

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