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LenKa [72]
3 years ago
12

The measures of two supplementary angles are (3x + 9)° and (2x + 2)°. What is the measure of the smaller angle? A. 16.6° B. 69.6

° C. 22.6° D. 110.4°
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°, hence

3x + 9 + 2x + 2 = 180, that is

5x + 11 = 180 ( subtract 11 from both sides )

5x = 169 ( divide both sides by 5 )

x = 33.8

Hence the smaller angle has a measure of

2x + 2 = (2 × 33.8) + 2 = 67.6 + 2 = 69.6° → B

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Sin x = cos<br><br>I do not understand trig ​
frez [133]

Answer:

tanx = 1

Step-by-step explanation:

I assume you mean sinx = cosx

In this case we have to recognize that tanx = sinx / cosx

So if we divide cosx over we can get tanx

So:

Cosx divided by itself gives us 1

sinx / cosx = 1

tanx = 1

3 0
3 years ago
If P(A)=0.54 then what value of P(B) the event A and B are complementary event
aleksley [76]

Answer:

<em>P(B) = 0.46</em>

Step-by-step explanation:

<u>Probability</u>

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

7 0
3 years ago
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devlian [24]
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8 0
4 years ago
Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ). Answer:
masha68 [24]

Answer:

  -12 47/60

Step-by-step explanation:

-(1 1/5) + (-8 3/4 -2 5/6) = -(1 + 8 + 2 + 1/5 + 3/4 + 5/6)

= -(11 + 12/60 +45/60 +50/60) . . . 60 is the LCD of 1/5, 3/4, 5/6

= -(11 + 107/60) . . . . . . . . . . . . . . . . add the fractions

= -(12 47/60) = -12 47/60 . . . . . . . write as a mixed number

___

Your graphing calculator may be able to do this for you. Many handle mixed numbers with ease.

4 0
3 years ago
What is the range of this function?
Gemiola [76]

Answer:

Not sure but I think it's B.

3 0
2 years ago
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