The figure shows two triangles. To find the the area of the shaded region, you have to substract the area of the larger triangle by the area of the smaller:
1. Area of the larger triangle:
A1=bxh/2
b=5 mm
h=2mm+4mm+6mm=12 mm
Then:
A1=5 mmx12mm/2
A1=30 mm²
2. The area of the smaller triangle, is
A2=bxh/2
b=3 mm
h=4 mm
Then, you have:
A2=3 mmx4 mm/2
A2=6 mm²
3.<span> The area of the shaded region is:
A3=A1-A2
A3=30 mm</span>²-6mm²
A3=24 mm²
4. Therefore, the answer is: 24 mm²
Answer: (x, y) —> (-x, y)
Step-by-step explanation:
This is because the translation rule for reflection across the y-axis is (x, y) —> (-x, y)
Answer:
x = 35
y = 100
Step-by-step explanation:
∠AEB and ∠DEC are vertical angles because they are opposite each other; they are also equal because of this. We can write an equation to model the situation:
∠AEB = ∠DEC
50° = x° + 15°
x = 35
∠AEB and ∠AED are supplementary because the form a line; this means they add up to 180°
∠AEB + ∠AED = 180°
50° + y + 30° = 180°
y + 80° = 180°
y = 100
