Answer:
x=−2 and y=5
Step-by-step explanation:
9514 1404 393
Answer:
B: L, M, N
Step-by-step explanation:
The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.
MN is opposite angle L, the smallest
LN is opposite angle M, the middle-size
LM is opposite angle N, the largest.
Smallest to largest, the angles are ∠L, ∠M, ∠N.
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:
No solution.
Step-by-step explanation:
Given

Required
Find all possible solutions
If
, then the triangle is right-angled and the hypotenuse is at b
Given that 
This implies that a > b
In a right-angled triangle, the hypotenuse (side b) is the longest.
Since this is not true for the given sides, then the triangle has no solution.
Answer:
(-6,6)
Step-by-step explanation: