Isocoleese means that 2 sides are the same legnth
that also means that 2 angles are the same legnth
so represent the angles as x,y,z
the vertex is the different angle
lets says that x=y because they are the 2 same angle and z=vertex
so just do
the angles measure x,x,z because x=y
so
base angle=x=y
remember that all 3 inside angles added together equals 180 so
x+y+z=180 or x+x+z=180
so we have
measure of each of the base angles of the isosolese triangle is 9 les than 4 times the vertex
that means that x is 9 less than 4 times z or x=-9+4z or x=4z-9
so we have the other equation
x+x+z=180
subsitute 4z-9 for x
4z-9+4z-9+z=180
group like terms
4z+4z+z-9-9=180
add like terms
9z-18=180
add 18 to both sides
9z=198
divide both sides by 9
z=22
subsitute
x=4z-9
x=4(22)-9
x=88-9
x=79
x=y=79
the angles are
base angles=79 degrees
vertex=22 degrees
x=79
y=79
z=22
Anytime your adding a negative number, its the same as subtract a positive number.
85 + (-96) → 85 - 96
85 - 96 = -11
Best of Luck!
Answer:
29
Step-by-step explanation:
Each number has 4 in difference
Step-by-step explanation:
Surface area of solid
= Area of Square + 4 * Area of Triangle
= (2)(2) + 4 * [(0.5)(2)(5)]
= 4 + 4 * 5
= 24 square inches. (3)
X + 5
———
3x+2
Steps:
Factor 3x^2 + 13x - 10: (3x -2)(x + 5)
(3x -2)(x+5)
= —————
9x^2 - 4
Factor 9x^2 - 4 (3x - 2)(3x-2)
