Answer:
Step-by-step explanation:
1). segment AB ≅ segment AE ......... 1). Given
2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs
3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem
4). segment BG ≅ segment EF ........ 4). Definition of midpoints
5). segment BC ≅ segment ED ......... 5) Given
6). segment CD ≅ segment DC ....... 6). Reflexive property
7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts
8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate
9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs
10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem
Answer:
x=-11/6, y=7/6. (-11/6, 7/6).
Step-by-step explanation:
-2x+2y=6
4x+2y=-5
-----------------
2(-2x+2y)=2(6)
4x+2y=-5
----------------------
-4x+4y=12
4x+2y=-5
----------------
6y=7
y=7/6
4x+2(7/6)=-5
4x+14/6=-5
4x=-5-14/6
4x=-30/6-14/6
4x=-44/6
x=(-44/6)/4
x=(-44/6)(1/4)
x=-44/24
simplify
x=-11/6
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
Answer:
17.9cm
Step-by-step explanation:
Its is very easy you just add 7.1 to 10.8.
Perimeter you add
Area you multiply
