By dropping a perpendicular from the top of the isosceles triangle to the base and using the Pythagorean Theorem we quickly determine that the height of the triangle is 4.
Therefore the area of the isosceles triangle is
6•4/2=12
However, we can split the isosceles triangle into three separate triangles indicated by the red lines in the diagram below. Because the radius always meets a tangent at a right angle the area of each triangle will be the length of the side multiplied by the radius of the circle. So the total area of the isosceles triangle is given by
6r/2+2•5r/2=8r=12
8r=12
r=12/8
r=3/2
Answer:
To write the congruence statement, you need to line up the corresponding parts in the triangles: \begin{align*}\angle R \cong \angle F, \angle S \cong \angle E,\end{align*} and \begin{align*}\angle T \cong \angle D\end{align*}. Therefore, the triangles are \begin{align*}\triangle RST \cong \triangle FED\end{align*}.
Step-by-step explanation:
Answer:
The lowest 5% of data ends at 57.73.
Step-by-step explanation:
Let the random variable <em>X</em> follow a Normal distribution with mean μ = 80.6 and standard deviation σ = 13.9.
The lowest 5% of the distribution can be expressed in terms of probability as follows:

Compute the value of <em>x</em> as follows:

The <em>z</em> score such that P (Z < z) = 0.05 is <em>z</em> = -1.645.
**Use the <em>z-</em>table for the for the <em>z</em>-score.
The value of <em>x</em> is:

Thus, the lowest 5% of data ends at 57.73.
3/x=36
Multiply both sides by x
3=36x
Then divide both sides by 36
3/36=x
1/12=x
Final answer: 1/12
Answer:
=k=0.25h-7/12
Step-by-step explanation:
4(h-3k)=h+7
=4h-12k=h+7
collecting like terms and leaving characters with k on 1 side, we get;
12k=3h-7
=k=0.25h-7/12