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natima [27]
3 years ago
8

∠1 and ∠2 are supplementary angles.

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

∠1 and ∠2 are supplementary angles, and so they will equal 180°

note that:

m∠1=4x+3

m∠2=3x−5

Plug in the corresponding expression for the angle

(4x + 3) + (3x - 5) = 180

Simplify. Combine like terms

7x - 2 = 180

Isolate the x. Note the equal sign. What you do to one side you do to the other.

Add 2 to both sides

7x - 2 (+2) = 180 (+2)

7x = 182

Divide 7 from both sides

7x/7 = 182/7

x = 182/7

x = 26

26 is your answer for x.

hope this helps

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Help me mathematics​
Ede4ka [16]

Answer:AB=15 ,angle A=53.1°,angle B=36.9°

Step-by-step explanation:

AB=√(12^2+9^2)

AB=√(12x12+9x9)

AB=√(144+81)

AB=√(225)

AB=15

TanA=12/9

TanA=4/3

A=Tan(inverse)(4/3)

A=53.1° angle A=53.1°

angle B=180-(90+53.1)

angle B=180-143.1

angle B=36.9°

8 0
4 years ago
Halloween Candy Halloween is Kelly's favorite holiday of the year! Based on experience, Kelly knows that on average, each house
LuckyWell [14K]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is an approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

Normal Probability Distribution

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, for n instances of a normal variable, the mean is n\mu while the standard deviation is s = \sigma\sqrt{n}.

In this problem:

  • Mean of 4 candies, hence \mu = 4.
  • Standard deviation of 1.5 candies, hence \sigma = 1.5.
  • She visited 35 houses, hence n = 35, \mu = 35(4) = 140, s = 1.5\sqrt{4} = 3

The probability is the <u>p-value of Z when X = 122</u>, hence:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{122 - 140}{3}

Z = -6

Z = -6 has a p-value of 0.

Approximately 0% probability that the total number of candies Kelly will receive this year is smaller than last year.

A similar problem is given at brainly.com/question/24663213

6 0
3 years ago
Can someone please help me
Vesnalui [34]

Answer:

B

Step-by-step explanation:

Cos(0)=1

since the diagram shows x as (1,0)

8 0
2 years ago
R/10 = 4 what does r equal please help
Harman [31]
The answer is r = 40 because 40 divided by 10 = 4
8 0
3 years ago
Read 2 more answers
5x-4-x=4(x+1) solve show steps
Jobisdone [24]
5x-4-x=4(x+1)
5x-4-x=4(x)+4(1)
(5x-x)-4=4x+4
4x-4=4x+4
   +4      +4
4x=4x+8
/4    /4
x = x+2
-x  -x
0=2
7 0
3 years ago
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