The value of x in the trapezoid is 11.
<h3>Properties of an isosceles trapezoid</h3>
- The base angles are the same
- The sum of opposite angles is 180° or supplementary.
- The diagonals are the same in length.
Therefore, the angle 9x and 7x + 4 are supplementary.
Hence,
9x + 7x + 4 = 180
16x + 4 = 180
16x = 180 - 4
16x = 176
x = 176 / 16
x = 11
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Answer:
Below.
Step-by-step explanation:
15y + 12x = 18
5y + 4x = 6
The second equations is the first times 3 so they are basically the same.
Infinite Solutions.
2x+ 3y= 12
-6y= 4x-24 Rearranging the second equation:
-4x - 6y = -24 Multiplying the first equation by 2:
4x + 6y = 24
- we see that the last equation is -1 * previous equation.
So there are infinite solutions.
Answer:
Hello! :) I hope I’m correct!!
Step-by-step explanation:
I think the answer should be 395.20
Price= 380.00
Sales tax= 4% (15.20)
The total price will be 395.20
If SP = Rs 380 and sales tax is 4% then the amount of sales tax is 395.20
Therefore the answer will be 395.20
Hope this helps!
If you have any questions, then feel free to ask them! :)
By: BrainlyAnime! ^-^
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies

68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies

95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies

All of data will be found between 1133 years and 1379 years.
Answer: Option E. 22
Solution:
Each dot represents a different brand of chocolate, then to determine how many brands are included in this data set, we only have to count the number of dots: 1+4+3+5+2+3+2+1+1=22