Answer:
35triangles
Step-by-step explanation:
Given
Total distinct points = 7
If we are to form triangles using the dots,
Total points in a triangle = 3
Using the combination rule;
number of triangles formed = 7C3
7C3 = 7!/(7-3)!3!
7C3 = 7!/4!3!
7C3 = 7*6*5*4!/4!3!
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
Hence the amount of triangles that can be formed is 35triangles
Answer:
3/4
Step-by-step explanation:
use a calculator
Um there’s no question here lol so free points?
Pythagorean Theorem
Height = 3
Length = 5
Hypotenuse^2 = 3^3 + 5^2
Hypotenuse^2 = 9 + 25
Hypotenuse^2 = 34
Line CD = sq root(34) =
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5.8309518948
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I got B but I'll show you how I got that answer.
Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75
On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.
Let's start with Choice A.
10(11) - 20 = 90.
AB = 90
BC = 90.
90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.
Now let's look at Choice B.
10(14) - 20 = 120.
AB = 90
BC = 120
90/120 = 0.75
So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct