Answer:
8 ft²
Step-by-step explanation:
Since ΔEFG ~ ΔABC, they are proportionately related. Each of the corresponding sides differ by the scale factor, which shows how much bigger or smaller the new triangle is from the original triangle.
Purple = original triangle, triangle 1
Pink = new triangle, triangle 2
Find the scale factor, "k". It will be a fraction because the triangle gets smaller.
k = FG/BC = 2/3
The scale factor can be used to find a side, the height or the area of the new triangle.
Use the scale factor squared to find the area.
A₂ = (A₁)(k²)
= (18 ft²)(2/3)²
= 7.999...ft²
= 8 ft²
What figure you didn't post it???
Answer:
Slope=5/6 aka m=5/6
Step-by-step explanation:
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Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is
... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is
The sum of roots is 
.
Therefore the correct option is 1.
We should each take these probabilities first individually.
Probability of tails in a coin toss = 1/2
Probability of <span>drawing letter T from the alphabet = 1/26
Probability of 2 tails in 2 coin toss = 1/4
Sample space = {HH, TT, HT, TH}
Add these together since these events happen after another = 1/2 + 1/26 / + 1/4 = 41/52
The final probability is 41/52</span>
