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krok68 [10]
3 years ago
14

ASAP Find the measure of an angle if its supplement is 4 more than twice the measure of the complement.

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

4 deg is the answer

Step-by-step explanation:

know these things

supplementary angles add up to 180 deg and

complementary angles add up to 90 deg.

now, let the unknown angle be x

supplementary angle of x = S = 180 - x

and

complementary angle of x = C = 90 - x

from the given statement

s \:  = 2 \times c \: + 4 \\ (180 - x) = (2 \times (90 - x)) + 4 \\ 180 - x = 180 - 2x + 4 \\  - x + 2x = 180 + 4 - 180 \\ x = 4

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Find the general solution and find the specific solutions over the interval [0,4pi]
Natasha2012 [34]

Answer:

Isolate the angle 2x, by following the reverse "order of operations".

Step-by-step explanation:

Explanation:

Step 1: Add 1 to both sides:

2

cos

2

(

2

x

)

=

1

Step 2: Divide both sides by 2:

cos

2

(

2

x

)

=

1

2

Step 3: Take the square root of both sides:

cos

(

2

x

)

=

√

2

2

or

cos

(

2

x

)

=

−

√

2

2

(don't forget the positive and negative solutions!)

Step 4: Use inverse of cosine to find the angles:

2

x

=

cos

−

1

(

√

2

2

)

or

2

x

=

cos

−

1

(

−

√

2

2

)

Step 5: Find angles that work:

2

x

=

π

4

or

2

x

=

7

π

4

or

2

x

=

3

π

4

or

2

x

=

5

π

4

Step 6: Solve for x:

x

=

π

8

,

7

π

8

,

3

π

8

,

5

π

8

or .785, 5.5, 2.36, 3.93

(decimal approximations are seen on the graph below)

5 0
3 years ago
Use division(scale down)<br> to find two ratios equivalent<br> to 30:40.
Korvikt [17]

Answer:

3:4 and 15:20

Step-by-step explanation:

30: 40 divided by 10 = 3:4

30:40 divided by 2 = 15:20

4 0
3 years ago
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Umnica [9.8K]

Answer:

18/66 (or 27%)

Step-by-step explanation:

6/11 chance of pink and 3/6 chance of odd number

6/11 * 3/6 = 18/66

5 0
3 years ago
Why does adding a 0 to the end of a decimal not change the value of the decimal?
aniked [119]

Answer:

because after decimal then value 0 dont have meaning

8 0
3 years ago
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
pochemuha

Answer:y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation: does this help??

5 0
3 years ago
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