let's recall that in an isosceles triangle, the twin sides make twin angles at the bottom/base, so on the triangle on the left-side, if the "vertex" atop has an angle of 116°, then the twin sides below are simply 180° - 116 = 64, split that in half and that's 32° each.
The same is true for the isosceles triangle on the right side. Also recall that a flat-line is always 180°, 32 + 72 + 76 = 180.
Check the picture below.
Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²
Step-by-step explanation:
the line passes through (0,-2) and perpendicular to the graph of y=5x+7.
solution :
the slope = -1/5
the equation :
y+2 = -1/5 (x-0)
y = -1/5x - 2
Answer:
I answered it as C, but the correct answer is B :)
Answer: 6 students
What we know:
Students: 24
Students who play checkers: 
Students who also play sudoku:
of the 
24 ÷ 3 = 8, so 8 × 2 = 16 (students who play checkers)
× 2 = 
So the answer is,
6 students play both checkers and sudoku