Answer:
a. 
b. 
Step-by-step explanation:
The given point is 
.
We want to find the image after this point has been reflected in the line 
.
Recall that, the mapping for a reflection in the line 
is
.
This implies that,
.
This simplifies to,
.
This will finally give us,
.
b. We now apply the second reflection, which is a reflection in the line 
.
Recall again that, the reflection in the line 
has the mapping
.
This implies that,
.
This implies that,
.
This will finally give us,
.
See graph in attachment.
Answer: 5
Step-by-step explanation:
There are two similar triangles here, the smaller superimposed on the bigger one. One thing here is that, one of their three sides are parallel to each other .
When the triangles are separated, one side of the bigger triangle = 24, and this correspond to 10 in the smaller triangle.
The size of the other side in the bigger triangle = 2x - 3 + x
= 3x - 3
This correspond to x in the smaller triangle.
Now by considering congruent triangles now,
10/24 = x/3x - 3
Therefore, cross multiply to get the value of x
10(3x - 3 ) = 24x
Open the brackets and collect like terms,
30x - 30 = 24x
30x - 24x = 30
6x = 30
Therefore, divide through by 6 x = 5
Answer:
101
Step-by-step explanation:
Given the expression:
2016 · 199 = 2016·? +2016 · 98
We could rewrite the expression such that the missing value equals x
2016 * 199 = 2016 * x + 2016 * 98
Using BODMAS:
401184 = 2016x + 197568
401184 - 197568 = 2016x
203616 = 2016x
Divide both sides by 2016
203616 / 2016 = 2016x / 2016
101 = x
Hence, missing value is 101
Answer:
d
Step-by-step explanation:
is d cause it is so yh ot is d
