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gavmur [86]
3 years ago
8

Referring to the figure, find the value of x

Mathematics
2 answers:
mestny [16]3 years ago
8 0

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

PtichkaEL [24]3 years ago
3 0

Answer:

21.6

Step-by-step explanation:

5x+72=180 (set it to 180 because the total angle sum of a triangle is 180)

5x=108

x=21.6

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Which of the following is a perfect square trinomial?
Bezzdna [24]

Answer:

D.~4x^2-20xy+25y^2

Step-by-step explanation:

4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2

3 0
2 years ago
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 mont
navik [9.2K]

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

\mu = 48, \sigma = 8, Z = -3.

Hence:

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

-3 = \frac{X - 48}{8}

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ4

6 0
1 year ago
What is the prime factorization of 81 m^2x^3 ?
kondaur [170]
The prime factorisation of 81 is 3^4(because 3*3*3*3 four times =81)
do not change the rest 3^4 m^2 x^3
5 0
3 years ago
Which method can be used to solve 11x13
butalik [34]

Answer:

Simple column method

Step-by-step explanation:

  11

x <u>13</u>

  33

 <u>110</u>

 143

3 0
3 years ago
Read 2 more answers
Rewrite the radical as a rational exponent. the fourth root of 7 to the fifth power
Verdich [7]
7^5/4 would be the answer to the question I think you are asking
7 0
3 years ago
Read 2 more answers
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