8z − 4 = 7z
move 8z to the other side
sign changes from +8z to -8z
8z-8z-4=7z-8z
-4= 7z-8z
-4= -z
mutiply both sides by -1 to get +z
(-4)(-1)= (-z)(-1)
Answer:
z= 4
Answer:
yes
Step-by-step explanation:
Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that:
. Substitute using the given values:
(9^2)+(12^2)=15^2
81 + 144 = 255
255 = 255.
It satisfies the theorem therefore it is a right angle triangle.
To find the amount of fabric for one side of the purse you will find the area of the trapezoidal space that is created. The latch is on the top, so the 2 in is not necessary information.
A = 1/2 h(b1 + b2)
1/2 x 13 x (10 + 16)
A = 169 square inches of fabric will be needed.