Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at 
, all x values will subtract their distances from to get their new values. The y values remain the same.
The starting values are:
Point 
is 1 unit away from , so we'll subtract 1 from 2 to get the new x value: 
, so 
.
Point 
is also 1 unit away from , so we'll subtract 1 from 2 to get the new x value: , so 
.
Point 
is 3 units away from , so we'll subtract 3 from 2 to get the new x value: 
, so 
.
Answer:
It is 27.35 ft up the house
Step-by-step explanation:
The hypotenuse of the right triangle is 28 and the base is 6
We can use the pythagorean theorem to find how high it is
a^2 + b^2 = c^2
6^2 + b^2 = 28^2
36 + b^2 = 784
Subtract 36 from each side
36-36 + b^2 = 784-36
b^2 = 748
Take the square root of each side
b =sqrt(748)
b =27.34958866
It is 27.35 ft up the house
The answer is that 24 of them are boys. Hope this helps.
Applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
<h3>How to Apply the Tangent Ratio?</h3>
The tangent ratio is: tan ∅ = opposite side length / adjacent side length of the right triangle.
Given the following:
Reference angle (∅) = 30 degrees.
Opposite side length = 8
Adjacent side length = x = ?
Using the tangent ratio, we have: tan 30 = 8/x
x(tan 30) = 8
Divide both sides by tan 30
x(tan 30)/tan 30 = 8/tan 30
x = 8/tan 30
x = 8/1/√3
x = 8 × √3
x = 8√3
Therefore, applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
Learn more about the tangent ratio on:
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