Using rigid motion, both of these triangles will be congruent. The reason is because rigid motions include reflections, translations, and rotations.
None of these transformations will affect the size or shape of the figure, therefore keeping them congruent.
Answer:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:


Joining like terms:

Adding 24:

Dividing by 64:
x=6°
Thus:


The measure of angle J is 44°
Answer:
B - 13
Step-by-step explanation:
Answer: T = z - 3
Step-by-step explanation: "T" represents the total amount of money he has left, so T = z [Whatever amount he had to begin with] - 3 [The amount he lost]. Hope that this helps!
Another way to show this equation is with the slope-intercept for of y = x -3
Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition
makes sure you are still getting lines (else you would get rid of both x and y); the condition
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.