Answer: SAS similarity postulate
Step-by-step explanation:
According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.
In triangles, QNR and MNP,
Also,
(Reflexive)
Thus, By SAS similarity postulate,
⇒ Option first is correct.
X/y = 2 so x = 2y
z/x = 4 so z = 4x but x = 2y so z = 4(2y) = 8y
now you have
x = 2y, z = 8y
x + y + z 2y + y + 8y 11y 11
------------ = -----------------------= ------------- = ----------- = 5 1/2
x 2y 2y 2
answer
C. 5 1/2
Answer:
Step-by-step explanation:
<u>Arithmetic Sequences
</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
The sum of the n terms of an arithmetic sequence is given by:
We are given the first two terms of the sequence:
a1=5, a2=8. The common difference is:
r = 8 - 5 = 3
Thus the general term of the sequence is:
The formula for the sum is:
Operating:
(√5)²=5
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