The given quadrilateral is a kite.
Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)
Firstly, we find the distance between AD and DC
AD = 
⇒ AD = 
⇒ AD = 5
DC = 
⇒ DC = 
⇒ DC = 5
Hence, AD = DC = 5
Now, find the distance between AB and BC
AB = 
⇒ AB = 
⇒ AB = 
⇒ AB = 
BC = 
⇒ BC = 
⇒ BC = 
⇒ BC = 
Hence, AB = BC = √97
In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.
Hence, it follows the property of kite.
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Answer:
Pete runs farther per carry.
Step-by-step explanation:
Given:
Branden and Pete both play running back.
Branden carries the ball 75 times for 550 yards.
Pete had 42 carries for 380 yards
Question asked:
Who runs farther per carry ?
Solution:
First of all we find each boy's distance covered per carry:-
<u>For Branden</u>
Branden carries the ball 75 times for = 550 yards.
Branden carries the ball 1 time for = 
<u>For Pete </u>
Pete carries 42 times for = 380 yards
Pete carries 1 time for = 
As Pete runs 9.05 yards for 1 carry while Branden runs 7.34 yards for 1 carry, hence Pete runs farther per carry.
Answer: The slope = 5.
Step-by-step explanation:
The equation of a line in the slope -intercept form is given by :-

,where m= slope , c= y-intercept.
The slope of a line represents the rate of change of y with respect to x.
Given: Equation of line : Y= 5x+12
Here Slope (m)=5
Hence, the slope = 5.
Answer:
35
Step-by-step explanation:
write 5 in N's place
5^2+2×5×1
25+10
35