Answer: We can find out the missing statement with help of below explanation.
Step-by-step explanation:
We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)
We have to prove: Diagonals AC and BD bisect each other.
In triangles, AED and BEC.
( By alternative angle theorem)
( Because ABCD is a rectangle)
( By alternative angle theorem)
By ASA postulate,
By CPCTC,
and 
⇒ BE= ED and CE=EA
By the definition of bisector, AC and BD bisect each other.
Answer:
y = -1/2x + 3.5
Step-by-step explanation:
The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2
y = -1/2x + c
Now we can substitute x = 1 and y = 3 into the equation:
- 3 = -1/2(1) + c
- 3 = -1/2 + c
- c = 3 + 1/2
- c = 3 1/2 or 3.5 or 7/2
The equation of the line is y = -1/2x + 3.5
Hope this helps!
<u><em>Answer:</em></u>
a. He will have to read half an article per night
b. Fraction of the reading assignment read each night = 
<u><em>Explanation:</em></u>
<u>Part a:</u>
<u>We are given that:</u>
number of articles to read = 4 articles
number of nights = 8 nights
To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights
<u>Therefore:</u>
number of articles to read per night =
articles per night
<u>Part b:</u>
Now, we know that he will read half an article each night from a total of 4 articles
To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments
<u>Therefore:</u>
Fraction of the reading assignment read each night = 
Hope this helps :)
Answer:
choice C. Perfect square trinomial is correct.
Step-by-step explanation:
We need to find the pattern which is represented by the polynomial
.
To find that pattern, we need to factor 





which is a perfect square.
Hence choice C. Perfect square trinomial is correct.