Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer: Option C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.
Solution:
The only one pair of corresponding angles in the two triangles is congruent is the angle BGC in ΔCBG and the angle FGE in ΔFEG, because they are vertical angles (opposite by the vertex)
Answer:
Step-by-step explanation:
Plot the points x-intercept and intercept on the graph. Join the two points to get the straight line. This is the graph of the linear equation.
Answer:
50.24
Step-by-step explanation:
you do 4²=16 then you do 16×3.14=50.24
and for further notice volume of a circle is radius to the second power times pi
