Answer:
x= 22.5°
Step-by-step explanation:
∠DEA= ∠BAE (alt. ∠s, DE// AB)
Substitute ∠DEA= 2x:
∠BAE= 2x
∠AEB +∠BEF= 180° (adj. ∠s on a str. line)
Substitute ∠BEF= 4x:
∠AEB +4x= 180°
∠AEB= 180° -4x
∠ABE +∠CBE= 180° (adj. ∠s on a str. line)
Substitute ∠CBE= 6x:
∠ABE +6x= 180°
∠ABE= 180° -6x
∠BAE +∠AEB +∠ABE= 180° (∠ sum of triangle)
2x +180° -4x +180° -6x= 180°
-8x +360°= 180°
8x= 360° -180°
8x= 180°
x= 180° ÷8
x= 22.5°
Answer:
(D) P(AUB) = 0.65
Step-by-step explanation:
Since A and B are independent:
P(A ^ B)
= P(A) × P(B)
= 0.3 × 0.5 = 0.15
P(AUB) = P(A) + P(B) - P(A^B)
= 0.3 + 0.5 - 0.15
= 0.65
Answer:
15cm
Step-by-step explanation:
All you need to do for this is divide the perimeter (60) by the number of sides on a square (4). 60÷4=15
Remark
You sure do have to read that a couple of times.
The quotient is an answer after a division takes place So you are dividing x/3
When you have figured out that phrase you add six onto it.
(x/3) + 6 > 14 Subtract 6 from both sides.
(x/3) +6 - 6 > 14 - 6
(x/3) > 8 Now multiply by 3
x > 8*3
x > 24 <<<<<< Answer
The expression is 5x - 2y
Use PEMDAS and work out the rest
x = 3 and y = 4
5 x = 5 x 3 = 15
2 y = 2 x 4 = 8
15( x ) - 8 (y) = 7
The answer is 7
Hope This Helps You!
Good Luck Studying :)