Answer:
Answer: scale factor = 1.5 Step-by-step explanation: Given: Triangle ABC is a scaled copy of triangle DEF. Side AB = 12 cm and is the longest side of ABC. Side DE = 8 cm and is the longest side of DEF. AB is corresponds DE (longest side of both triangles) So, Hence, the scale factor = 1.5.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3943753-triangle-abc-is-a-scaled-copy-of-triangle-def-side-ab-measures.html
Step-by-step explanation:
<h2>
HOPE THIS ANSWER WILL HELP YOU</h2>
Answer:
3.08 km/h.
Step-by-step explanation:
We know that,
Ali traveled at a speed of s km/h for 2.5 hours.
Let d be the distance and t be the time.
...(1)
On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.
...(2)
From (1) and (2), we get
Put t=40 in (1).
So, t=40 and d=100.
Now,
Total distance = d + d = 100 + 100 = 200
Total time = t + t - 15 = 40 + 40 - 15 = 65
So, the average speed is
Therefore, the average speed is 3.08 km/h.
Answer:
The numerator factors to

The denomenator factors to

Answer:
(A) Set A is linearly independent and spans
. Set is a basis for
.
Step-by-Step Explanation
<u>Definition (Linear Independence)</u>
A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.
<u>Definition (Span of a Set of Vectors)</u>
The Span of a set of vectors is the set of all linear combinations of the vectors.
<u>Definition (A Basis of a Subspace).</u>
A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.
Given the set of vectors
, we are to decide which of the given statements is true:
In Matrix
, the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column.
has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans
.
Therefore Set A is linearly independent and spans
. Thus it is basis for
.
1. Is angle 2 and angle 5 are supplementary and the reason is the given
4. The answer is L || M because of the converse of the CIA theorem( corresponding interior angles)