Equation of the line:
y = -4x + 1
Answer:
Step-by-step explanation:
1) Diagonal bisect the angles of Rhombus
∠CAB = ∠CAD
∠CAB = 71
2) ∠DAB = ∠CAB + ∠CAD
∠DAB = 71 + 71 = 142
In Rhombus, adjacent angles are supplementary
∠DAB + ∠ABC = 180
142 + ∠ABC = 180
∠ABC = 180 - 142
∠ABC = 38
3) In rhombus, opposite angles are congruent
∠ADC = ∠ABC
∠ABC = 38
In rhombus, diagonal bisect angles
∠BDC = (1/2)*∠ADC
∠BDC= 38/2
∠BDC = 19
4) Diagonals bisect each other at 90
∠DEC = 90
5) Diagonals bisect each other
BE = DE
BE + DE = DB
7x -2 +7x -2 =24 {add like terms}
14x - 4 =24
14x = 24+4
14x = 28
x = 28/14
x = 2 m
6) AB = 13m
BE = 7x - 2 = 7*2 -2 = 14 -2 = 12 m
In right angle ΔAEB, {use Pythagorean theorem}
AE² + BE² = AB²
AE² + 12² = 13²
AE² + 144 = 169
AE² = 169 - 144
AE² = 25
AE = √25
AE = 5 m
Diagonals bisect each other
AE = EC
AC = 2*5
AC = 10 m
7)Side = 13 m
Perimeter = 4*side
= 4*13
Perimeter = 52 m
8) d1 = AC = 10 m
d2 = DB = 24 m
Area =
= 10 *12
= 120 m²
Any two lines that cross form 2 sets of equal acute angles and 2 sets of obtuse angles. One of each will add to 180o.
obtuse + acute = 180
obtuse = 145
145 + acute = 180 subtract 145 from both sides.
acute = 180 - 145
acute = 35
There are really only 2 possible outcomes when flipping a coin: it lands heads up or tails up. So, if all possible outcomes' probability equals 100%, we can assume both are 50% likely.
Because of this, the theoretical probability that the coin will land tails up is 50%
Additionally, if 50% (or 1/2) of 250 people win (by landing tails up), you can simply divide by 2 to get that number of people: 125
Hope this helps :)
Answer:
Step-by-step explanation:
P = J - 15
P + J = 55
(J - 15) + J = 55
2J = 40
J = 20 years