Answer:
x = 90
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
3x = 270 ( divide both sides by 3 )
x = 90
Answer:
Length is 182 cm and width is 158 cm.
Step-by-step explanation:
Given:
Perimeter of rectangle table = 680 cm.
Let the width of the table be
.
Now according to given length of the table is 24 cm more than the race the width
hence length =
.
But perimeter of rectangle = 2(length+width)
Substituting the values we get;

Hence width = 158 cm
Now, length = 24 cm + width = 24 cm + 158 cm = 182 cm
Hence the dimension of table are 182 cm and 158 cm.
The area of the rectangle is 48 m
Answer:
2 ( x + 5 )
Step-by-step explanation:
You would factor the express by factoring out 2 from 2x + 10:
2 ( x + 5)
Answer: (103.74,112.06)
Step-by-step explanation:
The confidence interval for population mean is given by :_

Given : Sample size : n= 50
Sample mean : 
Standard deviation : 
Significance level : 
Critical value : 
Then the 95% confidence interval for the student IQ in the school will be :-

Hence, the 95% confidence interval for the student IQ in the school= (103.74,112.06)