Answer:
Step-by-step explanation:
<u>We know that:</u>
- Length = (4m + 7)
- Breadth = (3m + 2)
The perimeter of a shape is the sum of its boundaries. Let's represent perimeter as p.
<u>Solution:</u>
- p = (4m + 7) + (4m + 7) + (3m + 2) + (3m + 2)
- => p = 2(4m + 7) + 2(3m + 2)
Hence, the algebraic expression on how to find the perimeter is 2(4m + 7) + 2(3m + 2).
Answer:
85°
Step-by-step explanation:
AED and DEB would add up to 180, the same goes for AEC and CEB
Answer:
y=5x-9
Step-by-step explanation:
Refer to the diagram shown below.
Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°
Similarly,
y = m∠CAD = m∠CFD
The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°
Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°
Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°
Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°