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2 years ago

Solve for x and find the lengths. x= DE= x + 7 EF = 7 4x+2

Mathematics

2 answers:

Korolek [52]2 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

from the diagram

DF = DE + EF , that is

4x + 2 = x + 7 + 7

4x + 2 = x + 14 ( subtract x from both sides )

3x + 2 = 14 ( subtract 2 from both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Then

DE = x + 7 = 4 + 7 = 11

DF = 4x + 2 = 4(4) + 2 = 16 + 2 = 18

anastassius [24]2 years ago

8 0

Answer:

x=4. DE:11. DF:18 , so easy

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-2(2x-5)=-74 show all work pleaseeeee 15 points!

frutty [35]

Answer:

x equals 4

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

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

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6 0

2 years ago

Olin [163]

Answer:

19 degrees

Step-by-step explanation:

From the question given

The interior angles are x+12 and x - 3

Exterior angle is <IJK = 5x-6

Using the rule that states that the sum of interior angle of a triangle is equal to the exterior

<JHI + <HIJ = <IJK

x+12 + x-3 = 5x - 6

2x+9 = 5x -6

2x - 5x = -6-9

-3x = -15

x = -15/-3

x = 5

Get <IJK

Recall that <IJK = 5x - 6

<IJK = 5(5) - 6

<IJK = 25-6

<IJK = 19 degrees

Hence the measure of <IJK is 19 degrees

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3 years ago

the price of a dress is $40.00. it went to sale at a discount of 25%. if the sales tax is 6% what is the final cost of the dress

Delvig [45]

So first you figure out what 25% of $40.00 is whitch would be $30.00. Then what i think you would do next is add 6% of the cost of the dress. 6% of $30.00 is $1.80. so $30.00 + $1.80 = $31.80 dollors for the dress.

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3 years ago

5)Express in standard form: (i)4809000 (ii)0.00849

zysi [14]

Answer:

I hope it helps .in case you don't understand any part ,feel free to ask.

6 0

2 years ago