*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer:
Step-by-step explanation:
first we are told that side and ae and a f are the same
so that means one side of each triangle is the same
next we are told that that the lines coming off of those sides are both right angles. so we know these are both right triangles
and b/c both of those angle are right angles... the sides ab and ac have to also be the same length.. or the angle could not be a right angle
therefore since two sides are the same length then all 3 must be the same lengths
and b/c all three are the same these two triangles are the same .. congruent
Answer:
X = 6
Step-by-step explanation:
17 - 5 = 12
12 ÷ 2 = x
12 ÷ 12 = 6
Answer:
144
Step-by-step explanation:
x = ((n-2)π / n) radians = (((n-2)/n) x 180° ) degrees
Area of each piece of paper = 8 1/2 x 11 = 17/2 x 11 = 187/2
The greatest number of possible pieces of paper = [1000 ÷ 187/2] = [1000 x 2/187] = [2000/187] = 10
