Answer:
Step-by-step explanation:
there is a 125 degree difference between the two
Answer:
Step-by-step explanation:
A parallelogram is a quadrilateral with four sides.
Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.
Join D to B, the diagonal of the parallelogram which is also a traversal.
So that;
<ABD = <BDC (alternate angle property)
<BAC = <ACD (alternate angle property)
Also, diagonals;
/AC/ = /BD/ (reflexive property)
Then;
ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)
Thus;
/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)
/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)
Therefore, the opposite sides of the parallelogram ABCD are congruent.
In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29
Subtract 29 from both sides:
x^2 + 4x - 21 = 0
Factor:
(x + 7)(x - 3) = 0
{-7, 3}
3 can be the only possible length, since a length can't be a negative number.
2x = 6
2x + 5 = 11
x^2 + 3 = 12
-T.B.
P(selecting a 10)= 4/52
P(selecting a 2)= 4/52
P(selecting a 4)=4/52
P(selecting an Ace)=4/52
P(selecting a diamond)=13/52
Answer:
x = 42-degrees
Step-by-step explanation:
x + 48 = 90 --> *subtract 48 from both sides*
x = 42
