Answer:
∠ JKL = 32°
Step-by-step explanation:
Since KN bisects ∠ LKM , then
∠ LKN = ∠ NKM = 35°
Thus
∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM
= 102° - 35° - 35°
= 102° - 70°
= 32°
Answer:
x = 28
Step-by-step explanation:
If AB and CD are the straight lines, sum all the angles formed at a point lying on this line will be 180°.
m∠COE + m∠EOF + m∠FOB + m∠BOD = 180° [Angles at a point O on line AB]
3x + x + (x + 12) + m∠BOD = 180°
m∠BOD = 180° - (5x + 12)
Similarly, m∠AOD + m∠AOC = 180°
152° + m∠AOC = 180°
m∠AOC = 28°
Since, ∠AOC and ∠BOD are the vertical angles,
m∠AOC = m∠BOD
180° - (5x + 12)° = 28°
5x + 12 = 180 - 28
5x = 140
x = 28
Answer:
(x+12)(x+5)
Step-by-step explanation:
Formula use: a²+bx+c
- Make one side equal to zero:
Original:
-7x-60 =x² +10x
New:
x² + 17x + 60
New:
(1)x x 60 = 60
- Find factors of 60 that when added, equal to 17.
New:
10 × 6, 60 × 1, 20 × 3, <u>5 × 12</u>, 4 × 15
5 times 12 equal 60, but when added equal to 17.
- Replace the 17 with 5 and 12
New:
x² + 5x + 12x + 60
- Break them off into two equations
New:
x² + 5x l 12x + 60
- Divide each equation into it's simpilest form. Make sure the numbers in the ( ) are the same.
New:
x(x + 5) l +12(x+5)
Answer:
random
Step-by-step explanation:
each has a random, equal chance of being selected
Answer:
P(X=3cars) = 0.052
P(X>3 cars) = 0.00638
Step-by-step explanation:
In total there are 7 cars per hour.
Using formulae for geometric Probability
P(X=3) = (7^3×e-7)/3! = 0.0521
P(X>3cars) = (7^2× e-7)/2! =
P(X>3) = 0.0128/2×1 =0.00638
