Answer:
When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex
Answer:
The last one
Step-by-step explanation:
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r = 
= 
= 
= - 
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × - = - 36
a₆ = - 36 × - = 6
Answer:
x = 2y
x - 8 = y + 6
replace x by 2y in the second equation
2y - 8 = y + 6
y - 8 = 6
y = 14
x = 2*14 = 28
Kendra had $28 and Kareem had $14.
Answer:
90 cm
Step-by-step explanation:
Let the side of the square be S
Area of the square = S² = 64
So, S = √64 = 8 cm
Let L be the length of the rectangle and B be the breadth
We know B = S = 8
Area of rectangle = BL = 8L
Total area = Area of square + area of rectangle
Total area = 64 + 8L = 232 (given)
Subtracting 64 from both sides yields
8L = 232-64 = 168 or L = 168/8 = 21
Perimeter of square = 4S = 4 x 8 = 32
Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58
Total perimeter = 32 + 58 = 90 cm
