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°
Answer:
y = 3x + 1
Step-by-step explanation:
substitute the variables in y=mx+b
(5) = 3(-2) + b
5 = -6 + b
add 6 on each side
1 = b
Answer: 4
Step-by-step explanation:
Perpendicular lines have reciprocal slopes
There is an equal odd of rolling any of the parts of a dice. So the ratio per side would be 1:6, only because every side has the same probability to be shown.
You can change the form of the number to scientific notation before or after you do the addition. Here, we see the sum will be less than 100 million tons, so we can convert to scientific notation before we do the addition without requiring extra steps. The total waste is the sum of the amounts of waste in the two years.
... 3.75×10⁷ + 3.04×10⁷ = (3.75 +3.04)×10⁷ = 6.79×10⁷ . . . tons
