Answer:
SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>SAS Similarity Theorem</u>: States that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem
∠HJZ=∠RJW ----> by vertical angles
and
WJ/HJ=JR/JZ
substitute the values
8/4=6/3
2=2 ----> is true
so
Two sides of triangle HJZ are proportional with the two corresponding sides of triangle WJR and the included angle is congruent
therefore
Triangles are similar by SAS Similarity Theorem
Answer:
5
Step-by-step explanation:
The midpoint of segment AB is (1, 1).
Substituting these coordinates into the equation of the line,
Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = = , so
= ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = -
(2)
r = = = = -
(3)
If - 1 < r < 1 then the sequence will converge
r = - meets this criteria , thus the sequence is convergent
<span>891 is divisible by the prime number 3 which results in 297. The same step can be applied 3 more times and the resultant value will be 11. The result 11 cannot be divided any further as it is a prime number. Hence the prime factors of 891 are 3, 3, 3, 3, 11.</span>