Answer:
Triangle PTS is an equilateral triangle because all sides are equal lengths.
Angle TPS and angle TSP are equal because it is an equilateral triangle.
Triangle PQS and triangle SRP are congruent because of the side-angle-side theorem.
Segment PQ is congruent to segment SR because congruent sides of congruent triangles are congruent.
Segment PR is congruent to segment SQ because congruent sides of congruent triangles are congruent.
Triangle PQR and triangle SRQ are congruent because of the side-side-side theorem.
Answer:
750
300
390, 570
120,750
2.28
15.87
Step-by-step explanation:
The value of p and q is 2 , -8 , The nth term of the series is given by 3 * n² + n-2 , the 40th term is 4838 .
<h3>What is a quadratic Sequence ?</h3>
A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.
The sequence is given as 7; p; -3;q;...
for a linear pattern
7-p = p- (-3) = -3-q
2p = 4
p = 2
and
2+3 = -3 -q
5 +3 = -q
q = -8
The value of p and q is 2 , -8
A quadratic sequence is defined as 2; 12; 28; 50
The next two terms are 77 and 112.
3. The T40 of the sequence is
The nth term of the series is given by
3 * n² + n-2
therefore 40th term is
3 *40² + 40-2
3 *1600 +38
4838
Therefore the 40th term is 4838 .
To know more about Quadratic Sequence
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Answer:
Step-by-step explanation:
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