Answer:
Step-by-step explanation:
Comparing triangle EGD and triangle ELA
AL/DG = EL/EG
AL = x, DG = 3, EL = 5+5+5+5= 20
EG = 5
x/3 = 20/5
x/3 = 4
x = 3×4
x = 12
My guess is -1 because when a x value don’t got a number replace it with a 1
Answer:
n=6, m=6√3
Step-by-step explanation:
n = Opposite leg = sin(30°)*hypotenuse = (1/2)*12 =6
m= adjacent leg = cos(30°)*hypotenuse =((√3)/2)*12=6√3
Answer:
76.5 cm²
Step-by-step explanation:
Given the triangles are similar , then
ratio of sides = a : b , so
ratio of areas = a² : b²
Here ratio of sides = 9 : 13.5 = 2 : 3
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ DEF and using proportion
=
( cross- multiply )
4x = 306 ( divide both sides by 4 )
x = 76.5
The area of Δ DEF = 76.5 cm²
We know that
Euler's formula states that Number of Faces plus the Number of Vertices (corner points) minus the Number of Edges is always equals 2
F+V-E=2
in this problem
F=7
V=2*5+5*4---> 30-----> (<span>two pentagons and five rectangles)
</span>E=?
E=F+V-2
E=7+30-2
E=35
the answer is
<span>the number of edges is 35</span>