Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
<em>m<CBE + m<C + m<D + m<DEB = 360</em>
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
<em />
The length of the shadow is 124.7 in
<u>Explanation:</u>
<u />
Given:
Angle, θ = 30°
Height of the fence, h = 72 in
Length of the shadow, l = ?
Given:
tan 30° = 
Therefore, the length of the shadow is 124.7 in
Hypotenuse leg would be right
Answer: total length of frame material is 3.2 meters
Step-by-step explanation:
The perimeter of an object or a plane shape is the distance around the object of plane shape.
Mila plans to frame a poster she bought at a concert. The total length of frame material that she needs would be the perimeter of the rectangular frame. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The frame will be rectangular with a base of 0.65 meters and a height of 0.95 meters. Therefore,
Perimeter = 2(0.65 + 0.95)
= 3.2 meters
