Cecelia studied for the SAT for 20 minutes every day in the first week, 30 minutes in the second week, 40 minutes in the third w
2 answers:
Answer:
Option B.
Step-by-step explanation:
Cecelia studied for the SAT for 20 minutes every day in the first week, 30 minutes in the 2nd week, 40 minutes in 3rd week and 50 minutes in 5th week.
So the sequence formed is 20, 30, 40, 50
This sequence has a common difference of
Therefore, this sequence is an arithmetic sequence or linear sequence.
Christopher studied for the SAT for 5 minutes every day in the first week, 10 minutes in 2nd week, 20 minutes in 3rd, 40 minutes in 4th week.
Sequence formed is 5, 10, 20, 40.
It's an exponential or geometric sequence which has a common ratio
r =
=
Therefore, Option B will be the answer.
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Answer:
The answer is below
Step-by-step explanation:
A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.
Given parallelogram ABCD:
AB = CD = 18 cm; BC = AD = 8 cm
∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).
Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:
Perimeter of CPQ = CP + CQ + PQ
15 = 6 + 8/3 + PQ
PQ = 15 - (6 + 8/3)
PQ = 6.33
∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).
Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem
Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm
PA = AQ + PQ = 19 + 6.33 = 25.33
PD = CD + DP = 18 + 6 = 24
Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm
inequality could be used to find the number of models Walt builds. Correct option B).
<u>Step-by-step explanation:</u>
Here we have , Dwight and Walt are building model cars. Dwight builds 7 fewer models than 4 times the number Walt builds.Dwight builds at most 9 models. We need to find Which inequality could be used to find the number of models Walt builds . Let's find out:
Let the the number Walt builds is x , So Dwight builds 7 fewer models than 4 times the number Walt builds i.e.
⇒
But , according to question Dwight builds at most 9 models i.e.
⇒
⇒
⇒
⇒
Therefore , inequality could be used to find the number of models Walt builds which is Dwight builds at most 9 and Walt builds at most 4 .