Answer:
dgfh
Step-by-step explanation:
we know that for (x1 , y1) , (x2 , y2) the slope is as below:
α=
so the slope will be (14-8) / (10-(-3))
which equals to
or 0.461
Answer:
![C=25^{\circ},\\a\approx 10.72,\\b\approx 11.83](https://tex.z-dn.net/?f=C%3D25%5E%7B%5Ccirc%7D%2C%5C%5Ca%5Capprox%2010.72%2C%5C%5Cb%5Capprox%2011.83)
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Thus, angle C must be
.
In any triangle, the Law of Sines is given by
.
Therefore, we have:
![\frac{\sin 90^{\circ}}{b}=\frac{\sin 25^{\circ}}{5},\\\\b=\frac{5\sin90^{\circ}}{\sin 25^{\circ}}=11.8310079158\approx \boxed{11.83}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2090%5E%7B%5Ccirc%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Csin%2025%5E%7B%5Ccirc%7D%7D%7B5%7D%2C%5C%5C%5C%5Cb%3D%5Cfrac%7B5%5Csin90%5E%7B%5Ccirc%7D%7D%7B%5Csin%2025%5E%7B%5Ccirc%7D%7D%3D11.8310079158%5Capprox%20%5Cboxed%7B11.83%7D)
![\frac{a}{\sin 65^{\circ}}=\frac{5}{\sin25^{\circ}},\\a=\frac{5\sin 65^{\circ}}{\sin25^{\circ}}=10.7225346025\approx \boxed{10.72}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B%5Csin%2065%5E%7B%5Ccirc%7D%7D%3D%5Cfrac%7B5%7D%7B%5Csin25%5E%7B%5Ccirc%7D%7D%2C%5C%5Ca%3D%5Cfrac%7B5%5Csin%2065%5E%7B%5Ccirc%7D%7D%7B%5Csin25%5E%7B%5Ccirc%7D%7D%3D10.7225346025%5Capprox%20%5Cboxed%7B10.72%7D)
Answer:
|ST| = |FD|
Step-by-step explanation:
Two triangles are aid to be congruent if all their three sides are equal to each other and their three angles are equal to each other. The congruent sides must not be in the same position especially when one triangle is the reflection of the other triangle.
Given that ΔTRS is congruent to ΔDEF. Also they have the same congruent part, hence:
|TR| = |DE|, |TS| = |DF|, |ST| = |FD|
It’s congruent. The line OL is shared which means it’s congruent for both triangles and since ON is congruent to ED, EN and OD have to be congruent.