3 years ago

The measure of an angle is 27°. What is the measure of its supplementary angle?

Mathematics

1 answer:

Leya [2.2K]3 years ago

3 0

Answer:

153 degrees is the measure of the supplementary angle

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GREYUIT [131]

Answer:

$\cos(B) = \frac{12}{15}$

Step-by-step explanation:

$\cos(B) = \frac{adjacent}{hypotenuse}$

$\cos(B) = \frac{12}{15}$

6 0

3 years ago

Is every natural number a rational number.

kolezko [41]

True
False
False
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Which equation can be used to find 150 percent of 500?

blondinia [14]

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Step-by-step explanation:

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3 years ago

a quart of milk cost 73 cents. a CASE OF 12 QUARTS COSTS $7.68 . how much is saved per quart by buying the milk by the case

Nikitich [7]

12*$.73=$8.76-$7.68=$1.08 So it is $1.08 cheaper to buy it by the case.

Hope that helps.

5 0

3 years ago

If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term

Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = $a_{2}$ - $a_{1}$ = $a_{3}$ - $a_{2}$

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

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

$a_{1}$ = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

$a_{8}$ = 4 + (7 × 5) = 4 + 35 = 39

4 0

3 years ago