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
The elevation represents a distance from the sea level greater than 5 feet,
because the original description specifies a distance greater than 5 feet
below sea level.
Reasons:
The elevation given as a distance is the height or distance above sea level.
In the above description, elevation is a vector, given that it has both
magnitude (distance) and direction (above sea level).
Distance is a scalar quantity, that has only a magnitude that specifies the
space covered during motion.
An elevation of less than -5 feet indicates that distance of the location
above sea level is less than -5 feet, which is the same as; the distance of
the location below sea level is greater than 5 feet.
- Less than -5 feet above sea level = Greater than 5 feet below sea level
Therefore;
- An elevation of less than -5 feet represents a distance from (below) sea level greater than 5 feet
Learn more about vector and scalar quantities here:
brainly.com/question/11968679
Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is
- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
, 
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
, 
, 
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.
and
for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
<em>Learn more about sequence from brainly.com/question/10986621</em>
<em>#learnwithBrainly</em>
Answer:
271 miles
Step-by-step explanation:
15.95+0.92 x=265.27
0.92 x=265.27-15.95
.92 x=249.32
x=24932/92=271
