Answer:
x² + 4xy + 4y²
Step-by-step explanation:
(x + 2y)² = (x + 2y)(x + 2y)
x(x + 2y) + 2y(x + 2y) ← distribute both parenthesis
= x² + 2xy + 2xy + 4y² ← collect like terms
= x² + 4xy + 4y²
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<c & <f would be alternate interior angles because they're a pair of angles on the inner side of each of those two parallel lines but on opposite sides of the transversal.
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
Answer:
Angle TSW = angle UTV because they are corresponding congruent angles.
Angle STW = angle TUV because they are corresponding congruent angles.
Triangle STW is congruent to triangle TUV because of the Angle-Angle-Side Similarity theorem.
