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
What is your tabletop asking us today?
Answer: y=-3/4x-2
Step-by-step explanation:
Write an equation of a line in slope-intercept from with the given slope, slope:–3/4, y-intercept: –2
The y-intercept is at (0,-2)
Then we write the equation using y=mx+b becuase that is the point slope form.
m=-3/4 which was given in the question
because y-intercept is at (0,-2)
y=-2
x=0
-2=-3/4(0)+b
-2=0+b
-2=b
now we know that m is -3/4 and b is -2
Hence the equation is y=-3/4x-2
The Perimeter is 87 ft and the Area is 360 ft. :3
This is mathXL right I know it exactly
