Answer:
A.26
B.116
C.64
Step-by-step explanation:
<h3>
You have the correct answer. It is choice B. Nice work.</h3>
K is the midpoint, so
and
, and along with the congruent vertical angles (
and
), you would use the SAS (side angle side) congruence theorem to prove the inner pairs of triangles to be congruent.
So,
(top and bottom triangles) and
(left and right triangles).
Then through CPCTC, we can show the corresponding pieces are congruent leading to
and
showing the opposite sides of the quadrilateral are congruent. Therefore we do have a parallelogram and enough information to prove it as such.
Side note: CPCTC stands for "corresponding parts of congruent triangles are congruent".
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
Step-by-step explanation:
I got about 9 hours of sleep last night that is 9/24 of the day or 37.5% of the day of 0.375 of the day sleeping
thanks for asking
Answer:
7
Step-by-step explanation:
arithmetic sequence: aₙ = a₁ + (n-1)d
a₈ = (-5) + (8-1)d = 37
7d = 42
d = 6
a₃ = -5 + (3-1) x 6 = 7