Nick has designed a diamond shaped kite as shown below. the measures of some sides of the kite are marked in the figure. find the value of x.

Step-by-step explanation:

       In a kite, the diagonals are perpendicular. Hence is a right angled triangle.

From Pythagoras theorem, since is a right angled triangle, .

      Area of =

From diagram

∴

a) what number, when added to negative four, is equal to negative five?

step-by-step explanation:

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1