These are the steps, with their explanations and conclusions:
1) Draw two triangles: ΔRSP and ΔQSP.
2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).
3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.
4) The segment SP is common to both ΔRSP and Δ QSP.
5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.
Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
The ratio of all the adjacent terms is the same and equal to
now substituting r = 2 and a₁ = 7 in the nth term
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
Answer:
12 x -7 = -84 12 + (-7) = 5
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
This is an example of the commutative property as its states that it is applicable in multiplication and addition where 2 numbers can switch places and give the same result in both situations.
(4)(2) = 8
(2)(4) = 8
Using the equation which models weight of cat in terms of amount of food fed, the weight of the cat will be : 151.11 ounces
<u>Given the equation</u> :
- <em>g = Amount of food in grams </em>
<u>Substituting g = 13 into the equation</u> :
W = 0.86(13)² - 0.01(13) +5.9
W = 0.86(169) - 0.13 + 5.9
W = 145.34 - 0.13 + 5.9
W = 151.11 ounces
Therefore, the weight of the cat will be 151.11 ounces
Learn more : brainly.com/question/18796573
