Answer: x = 60°
Step-by-step explanation:
The rest of the question is the attached figure.
Given: A rhombus inside a regular hexagon, work out the angle x.
As shown
ABCDEF is a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
So, ∠F = ∠BAF = 120°
AFEG is a rhombus.
The rhombus have 2 obtuse angles and 2 acute angles.
∠F is one of the obtuse angles of the rhombus = 120°
∠F and ∠FA G are supplementary angles
So, ∠F + ∠FA G = 180°
∴ ∠FA G = 180° - ∠F = 180 - 120 = 60°
∴ x = ∠GAB = ∠BAF - ∠FA G = 120 - 60 = 60°
So, the measure of the angle x = 60°
<u>Answer:</u>
y
=
−
2
x
<u>Step-by-step Explanation:</u>
Y
+
2
=
−
2
⋅
(
−
1
) Write in
y
=
m
x
+
b form.
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
m in perpendicular =
−
1
2
(1,-2),y=(1)/(2)x+4
I hope I helped!
I can't read it can u zoom I
Answer:
Step-by-step explanation:On the given diagram you see two right triangles with equal hypotenuses and pair of equal angles.
Based only on the information given in the diagram you can conclude that triangles are congruent by HA theorem (the HA theorem states that "if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent").
Also you can conclude that triangles are congruent by AAS Postulate (the AAS Postulate states that "if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent").
Answer:
The answer is No, according to the Triangle Theorem.
Step-by-step explanation:
When you have the sides of the triangle, you must be able to add up 2 sides and have a larger number than the other side.
4+5 = 9 which is greater than 1
5+1 = 6 which is greater than 4
4+1=5 which is equal but not greater than 5