Answer:
By exterior angle theorem, we have;
∠DBE = ∠H + ∠HEB = ∠ECD = ∠H + ∠HDC
∴ ∠H + ∠HEB = ∠H + ∠HDC
By addition property of equality, we have
∠HEB = ∠HDC
∠H = ∠H by reflexive property
∴ ΔHCD ~ ΔHEB by Angle Angle AA similarity postulate
∴ HE/HD = EB/DC, by the definition of similarity
Therefore, by cross multiplication, we have;
HE × DC = EB × HD
Therefore, by commutative property of multiplication, we have;
HE × DC = HD × EB
Step-by-step explanation:
Answer:
100 and 2
Step-by-step explanation:
If we are trying to reduce the radical, we know that 100 times 2 is 200.Therfore,Those are two possible numbers to reduce the radical.
Hope this is right !
Answer:
Please look at the image.
Step-by-step explanation:
Answer:
102 would be correct
Step-by-step explanation:
Answer:
30 or -30
Step-by-step explanation:
y^2 = 900
Take the square root of each side
sqrt(y^2) = sqrt(900)
y = ±30