The theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem
The two triangles are
△ABC and △DEC
Here we have to prove that the △ABC and △DEC are congruent
It is given that
The length of AC = The length of CD
The angle ACB = The angle ECD
The point C is the midpoint of EB
Therefore,
The length of BC = The length of EC
Therefore, the two sides and one angle of triangle ABC is equal to the two sides and one angle of triangle DEC, so the both triangles are congruent by SAS rule
Hence, the theorem is used to prove △ABC≅△DEC is Side-Angle-Side(SAS) theorem.
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Answer:
all the answers are there in safari and also can refer to your text book
Step-by-step explanation:
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
= (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 3) and (x₂, y₂ ) = (1, 5)
m = 
=
A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that
Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that
Solve for <em>t</em> :
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
