X^2 - 8x = (x - 4)^2 - 16
we add 16 to give x^2 - 8x + 16 which is a perfect square
x^2 - 8x + 16 = (x - 4)^2
answer is 16
Answer:
a = 22
b = 31
c = 13
Step-by-step explanation:
The sum is the same in each row, column, and diagonal.
One of the diagonals is already complete. The sum is:
16 + 25 + 34 = 75
So the first row adds up to 75:
a + 37 + 16 = 75
a = 22
The second row adds up to 75:
19 + 25 + b = 75
b = 31
And the third row adds up to 75:
34 + c + 28 = 75
c = 13
We can check our answer by finding the sum of each column and the other diagonal.
22 + 19 + 34 = 75
37 + 25 + 13 = 75
16 + 31 + 28 = 75
22 + 25 + 28 = 75
See the picture attached to better understand the problem
we know that
A quadrilateral is called Cyclic quadrilateral <span>if its all vertices lie on the circle.
</span><span>The opposite angles of a Cyclic - quadrilateral are supplementary
</span>so
∠A+∠C=180°
and
∠
B
+∠D=180°
therefore
the answer is<span>
C) The sum measure of ∠B and ∠D equals 180°</span>
Answer:
A = 35.42 yd²
Step-by-step explanation:
We need to find the area if the dimensions are given as 4.6 yd and 7.7 yd.
The area of a rectangle shaped figure is given by :
A = lb
Where
l is length and b is the breadth
So, put all the values,
A = (4.6)(7.7)
= 35.42 yd²
So, the area of the figure is equal to 35.42 yd².
Answer: the margin of error is 0.02
Step-by-step explanation:
Confidence interval for population proportion is written as
Sample proportion ± margin of error
If the confidence interval for this population proportion is (0.52, 0.56.), it means that the lower boundary is 0.52 and the upper boundary is 0.56
Let x represent the sample proportion and y represent the margin of error. Therefore,
x - y = 0.52
x + y = 0.56
Subtracting the second equation from the first equation, it becomes
- 2y = - 0.04
y = - 0.04/-2
y = 0.02
