Answer:
1. A = 40 units²
2. A = 72 units²
3. B) 45
Step-by-step explanation:
1. This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 4(1/2 x 5 x 4)
= 40 units²
2. This shape comprises two pairs of congruent triangles.
Area of a triangle = 1/2 x base x height
Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)
= 72 units²
3. Count the number of shaded squares:
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²
CF = CD + DF (since D is simply a point on the line, and C to that point added onto F to that point is CF), so 4y-9+2y-7=14. Adding it up, we get 6y-16=14 and adding by 16 we get 30=6y. Dividing both sides by 6, we get y=5. Plugging that into DF, we get 10-7=DF=3
Answer:
answer is in the picture with work, just know your formulas and plug the numbers in and you'll be fine
Answer:
a) acute angle
b) obtuse angle
c) right angle
d) reflex angle
e) straight line angle
f) acute angle
Step-by-step explanation:
Acute angle
- angle that is smaller than 90°
- 0° < θ < 90°
Right angle
- angle that is 90°
- shaped of a "L"
Obtuse angle
- angle that is greater than 90° but smaller than 180°
- 90° < θ < 180°
Straight line angle
- angle that is 180°
- drawn in a straight line
Reflex angle
- angle than is greater than 180°
- θ > 180°
