Answer:
The value of x is
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+
=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7

On simplification we get:


Hence, the value of x is
.
Answer:
12 inches by 21 inches
Step-by-step
Let's start with the 8 feet
for every 2 feet add three inches you get a total of 12 inches
same for the 14 feet, you get 21 inches
36.3 Johns number sub or add or divid or multication
Answer:
7x^2 -5x + 4
Step-by-step explanation:
5x^2 – 6x+2
- (-2x^2 - x - 2)
We got 5x^2 - (-2x^2) = 5x^2 + 2x^2 = 7x^2
-6x - (-x) = -6x + x = -5x
2 - (-2) = 2+2 = 4
So the equation would be 7x^2 -5x + 4
Hope this help :3
Answer: 0.355,0.405)
Step-by-step explanation:
Given : Significance level : 
Number of subjects (n) = 2455
Number of surveys returned = 931
The probability of surveys get return will be :-

The confidence interval for proportion is given by :-


Hence, the 99% confidence interval for the proportion of returned surveys : (0.355,0.405)