Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
Answer:
X/360 (r^2)
Step-by-step explanation:
If X is the number of degrees of the sector, then the area will be given by
X/360 *r^2
Where r^2 is the radius of the circle. The denominator of X is 360 because the degrees of a circle add up to 360
For instance, if the sector is half the circle, then we have
180/360 *r^2 (or 0.5(360)*r^2)
Answer:
Step-by-step explanation:
We are given the following in the question:
We have to prove:
Proof:
we can write:
Hence, the two triangle are congruent by SAS congruency rule.
The attached image shows the two triangle.
Answer
30
Step-by-step explanation:
the answer is :
90 - 60 = 30
Step-by-step explanation:
-2 = 0.75
-1 = 1.5
0 = 3
1 = 6
2 = 12
