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fiasKO [112]
3 years ago
13

One angle is four times as large as a second angle of the angles are supplementary find the number of degrees in the smaller ang

le
Mathematics
1 answer:
seropon [69]3 years ago
6 0

let x=smaller angle

 

larger angle=4x

x+4x=180

5x=180

x=180/5

x=36

smaller angle=36º

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3x + y = 6<br> 5x - 2y = 10
Eddi Din [679]

Answer:

x=2

y = 0

Step-by-step explanation:

3x + y = 6         -------------(i)

5x - 2y = 10      -------------(ii)

Multiply (i) by 2   ===>   6x +2y = 12

                     (ii)  ===>   <u> 5x - 2y =  10</u>

add   ============>    11x       = 22

                                              x = 22/11

                                              x = 2

Substitute x = 2 in (i)

       3*2 + y = 6

           6 + y = 6

                 y =  6 - 6

                 y = 0

3 0
3 years ago
NO EXPLANATION NEEDED
Degger [83]
10/2 so 5 for 53, 10/4 so 5/2 or 2.5 for 54, and 10/3 or 3.333. For simplicity i divided everything by 10 to remove an extra zero but the answers would still be the same after you reduced
3 0
3 years ago
Solve 11x + 2 = 68.
lys-0071 [83]
11x+2=68
      -2   -2

11x=66
  /11   /11

X=6
4 0
3 years ago
Read 2 more answers
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

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

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have X = 85.1, \mu = 61.1, \sigma = 12. So

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

Z = \frac{85.1 - 61.1}{12}

Z = 2

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have X = 299.2, \mu = 264, \sigma = 22.

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

Z = \frac{299.2 - 264}{22}

Z = 1.6

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

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

Z = \frac{7.26 - 7.1}{0.4}

Z = 0.4

Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
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