Answer:
See proof below
Step-by-step explanation:
Two triangles are said to be congruent if one of the 4 following rules is valid
- The three sides are equal
- The three angles are equal
- Two angles are the same and a corresponding side is the same
- Two sides are equal and the angle between the two sides is equal
Let's consider the two triangles ΔABC and ΔAED.
ΔABC sides are AB, BC and AC
ΔAED sides are AD, AE and ED
We have AE = AC and EB = CD
So AE + EB = AC + CD
But AE + EB = AB and AC+CD = AD
We have
AB of ΔABC = AD of ΔAED
AC of ΔABC = AE of ΔAED
Thus two sides the these two triangles. In order to prove that the triangles are congruent by rule 4, we have to prove that the angle between the sides is also equal. We see that the common angle is ∡BAC = ∡EAC
So triangles ΔABC and ΔAED are congruent
That means all 3 sides of these triangles are equal as well as all the angles
Since BC is the third side of ΔABC and ED the third side of ΔAED, it follows that
BC = ED Proved
Answer:
Coldest day on record = -20°C
Step-by-step explanation:
Given:
Yesterday temperature = -4°C
Coldest day on record = 5 times than yesterday
Find:
Coldest day on record
Computation:
Coldest day on record = 5 × Yesterday temperature
Coldest day on record = 5 × (-4)
Coldest day on record = -20°C
Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
Hello!
In a Capitalist Economic System, the government is expected to guarantee the respect to private property, promulgate laws that defend economic freedom, and is an intermediary between the private sector and society. In this economic system, the government is reduced an doesn't intervene in the free market.
In a Socialist or Communist Economic System, the government redistributes goods and services, takes the means of production (private property) from their owners to put them in service of the working class, promulgate laws that limit economic freedom and heavily intervenes in the market and economy.
Have a nice day!
6/4= 1.5
8/4= 2
As you can see, this is a proportional relationship.
The scale factor is 4.
I hope this helps!
~kaikers
