Answer:
The triangle EFG can be constructed with the following specifications: , , , , , .
Step-by-step explanation:
A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:
Angle E
Angle F
Angle G
The triangle EFG can be constructed with the following specifications: , , , , , .
Answer:
B
Step-by-step explanation:
You use FOIL (first, inner, outer, last). You then see what answer would get 47x for the middle...
(x-6)(8x+1) is the only one that gets 47x.
Then finish solving (x-6)(8x+1) to get 8x - 47x - 6
The reciprocal of 5 is -1/5. The reciprocal of 1/5 is -5.
Tan(50°) = 630/x
x = 630/tan(50°) = 528 ft
Solution:
<u>Given:</u>
Supplementary angles are a pair of angles that sum up to 180°.
<u>It should be noted:</u>
- If ∠G and ∠H are a pair of supplementary angles, they both sum up to 180°.
Equation formed: ∠G + ∠H = 180
<u>Substitute the values into the equation.</u>
- ∠G + ∠H = 180
- => 65 + ∠H = 180
<u>Subtract 65 both sides.</u>
- => 65 - 65 + ∠H = 180 - 65
- => ∠H = 180 - 65 = 115°