Answer:- D shows the triangle pairs which can be mapped to each other using a single translation.
Explanation:-
Translation is a rigid transformation which creates a congruent image as that of the original figure such that the distance between the each point of the original figure and the image is fixed and same.
The translation mapping is given by (x,y)→(x+h,y+k) ,where h is the distance of the x coordinate of the each point of the original figure to the image and k is the distance of the y coordinate of the each point of the original figure to the image.
In figure D we can see that the distance between each point of ΔCED is equal to the distance between each point of ΔMPN. Thus it shows the triangle pairs which can be mapped to each other using a single translation.
Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A =
absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
Based on the indices of the regular polygons, the number of sides that X has is 8. See the computation below.
<h3>What is the analysis for the above solution?</h3>
Assuming that X has G number of sides; and
Y has H number of sides, this means that:
G-H = 3 ...........1
Recall that the formula for the exterior angles is:
360/n; where n is number of sides
X = 360/G
Y = 360/H
(360/G) + (360/H) = 117°.......2
Solving 1 and 2 simultaneously, we obtain:
G= 8 and
H = 5
Thus, X has 8 sides.
Learn more about Polygons at:
brainly.com/question/1592456
#SPJ1
Slope Formula:

I am going to show you how to do this on problem 6, and you will do the rest of the problems.
Here are the steps to solving problem 6
Step 1) Substitute the coordinates into the slope formula

Step 2) Now Lets simplify the denominator, so we don't have two Subtractions symbols.

Step 3) Simplify

Step 4) We can still simplify more

Hope This Helps ... Good Luck
[The reason I didn't do all of them is because you need to know how to do them. Trust me later on knowing these is going to be very handy.]
Answer:
0,3,4,-11
Step-by-step explanation: