Answer:
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
Step-by-step explanation:
- A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.
- Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.
- This implies that, two figures are congruent if and only if a rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.
- Therefore all the given options are true.
Answer:
b jnmnjbh nmjhn
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=-2x-4
y=5x+5
------------
-2x-4=5x+5
-2x-5x-4=5
-7x-4=5
-7x=5+4
-7x=9
x=9/-7
x=-9/7
y=5(-9/7)+5
y=-45/7+35/7
y=-10/7
Answer: x=-9/7, y=-10/7. (-9/7, -10/7).
----------------------------------------------------
-3x+y=8
2y=6x-10
----------------
6x-2y=10
-3x+y=8
-------------
y=8-(-3x)=8+3x
6x-2(8+3x)=10
6x-16-6x=10
-16=10
no solution
Answer: No Solution
--------------------------------
2y=4(x+3)
y-2x=6
--------------
y=4x+12
y=2x+6
--------------
4x+12=2x+6
4x-2x+12=6
2x+12=6
2x=6-12
2x=-6
x=-6/2
x=-3
y=2(-3)+6=-6+6=0
Answer: x=-3, y=0. (-3, 0).
-------------------------------------
x+2y=4
4x-2y=16
---------------
5x=20
x=20/5
x=4
4+2y=4
2y=4-4
2y=0
y=0/2
y=0
Answer: x=4, y=0. (4, 0).
There are four coefficients in that expression, so the coefficients are 1/3, -18, 9, and -2.
Answer:
7.6 miles per hour
Step-by-step explanation:
We know that the distance is 7 miles to campus uphill and 7 miles from campus downhill and you travel 3 miles per hour faster. The trip to campus takes 2.5 hours and from campus it takes 45min.
We can calculate the rate of which you travel to campus:
From campus to home:
The average rate for the return trip is:
7.6 miles per hour
