Answer:
Area of ΔDEF is 
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB = 
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,
Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Thus the area of ΔDEF is .
1) Equal the two together (not including the ‘y’)
-x -2 = 4x + 3
2) put x together and the whole number together
* when switching sides, signs ( + & -) changes, watch out for that *
-x - 4x = 3 + 2
-5x = 5 divide by the # with x so you have x
—— ——-
-5. -5
x = -1
therefore, x = -1
For y just plug x into either equation
I’ll use y = 4x + 3
y = 4(-1) + 3
y = -4 + 3
y = -1
therefore, y = -1
Answer:
3x + y = 20
Step-by-step explanation:
The equation of line passing through two points is determined by formula:
Here, (x₁ , y₁) = (4, 8)
and (x₂, y₂) = (6, 2)
Putting these value in above formula. We get,
⇒ 
⇒ ( y - 8) = -3 (x - 4)
⇒ y - 8 = -3x + 12
⇒ 3x + y = 20
which is required equation.
Answer:
a)
There are 6 planes - 5 faces of the pyramid and one base, which overlaps with the plane X.
b)
<u>Collinear points are the points on the same line:</u>
c)
The intersection of planes X and HGD is the line section HG.
