Answer:
Where's the prism? >︿<
Step-by-step explanation:
Answer:
m∠FXD = 36°
EG = 10
m∠FZG = 24°
Step-by-step explanation:
In triangle XYZ, G is the incenter of the triangle.
Since, m∠FXG = 18°
And m∠FXD = 2(m∠FXG)
= 2 × 18°
= 36°
Since, point G is equidistant from all sides (Property of incenter of a triangle)
Therefore, DG = EG = GF = 10
Since, m∠X + m∠Y + m∠Z = 180°
2(m∠FXG) + m∠DYE + 2(m∠FZG) = 180°
2(18)° + 96° + 2(m∠FZG) = 180°
2(m∠FZG) = 180° - 132°
m∠FZG = 24°
Answer:
4cm^2
Step-by-step explanation:
First we need to find the length of the height of the triangle using Pythagoras:
a^2+b^2=c^2 (Substitute in what we have)
a^2+3√2(^2)=2√5(^2) = a^2 + 18 = 20 -> 20-18=2 √2=BD
Now we can find the area:
AD+DC= 3√2 + √2 = 4√2 x √2 = 8/2 = 4
Answer:
1. rectangles and triangles
2. 63 m²
Step-by-step explanation:
1. The figure is composed of one rectangle on top and one triangle on the bottom
2. To find the area of the rectangle, we need to use the formula A = b×h
- Here the base is 9 and the height is 7
- Substituting these values into the formula we get A = (9)(7) = 63 m²