The simplified answer would be 14x+17y-11
Answer:
The value of x = 3.42
Step-by-step explanation:
Formula:
Sin ∅ = Opposite side /Hypotenuse
From the figure we can see a right angled triangle.
One angle is given, hypotenuse = 10 and height = x.
To find the value of x
sin 20 = Opposite side/hypotenuse = x/10
x = 10 * sin 20
= 10 * 0.342 = 3.42
Therefore the value of x = 3.42
Answer:
AAS method can be used to prove that the two triangles are congruent.
Step-by-step explanation:
According to the question for the two triangles one pair of opposite angles are equal. One another pair of angles are equal for the two and one pair of sides are also equal of the two.
Hence, the two given triangles are congruent by AAS rule.
Hence, AAS method can be used to prove that the two triangles are congruent.
Answer:
x = 80°
Step-by-step explanation:
Angle on a straight line = 180°
(x + 40)° + (x - 20)° = 180°
x + 40° + x - 20° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160°/2
x = 80°
Check:
(x + 40)° + (x - 20)° = 180°
(80° + 40°) + (80° - 20°) = 180°
120° + 60° = 180°
180° = 180°