Answer:
4+ 3.
Step-by-step explanation:
Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L' What is the value o
f X A. 5 B. 6 C. 7 D. 8
1 answer:
Answer:
B. 6
Step-by-step explanation:
The picture of the question in the attached figure
we know that
A translation and a reflection are rigid transformations, that produce congruent figures'
Remember that
Two figures are congruent if their corresponding sides and their corresponding angles are congruent
In this problem
Triangle JKL and Triangle J'K'L' are congruent
so
substitute the given values
solve for x
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Firstly, we will draw figure
now, we will draw a altitude from B to DC that divides trapezium into rectangle and right triangle
because of opposite sides of rectangle ABMD are congruent
so,
DM=AB=9
CM=CD-DM
CM=18-9
CM=9
now, we can find BM by using Pythagoras theorem
now, we can plug values
we get
now, we can find area of trapezium
now, we can plug values
and we get
so, area of of the trapezoid is ..........Answer
Given:
The given arithmetic sequence is:
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
Here, the first term is -3. So, .
The common difference is:
The recursive formula of an arithmetic sequence is:
Where, d is the common difference.
Putting , we get
Therefore, the recursive formula of the given arithmetic sequence is , where
.