Answer:
Step-by-step explanation:
<u>Given</u>
- DE = 3x + 2, EF = x + 5, DF = 23
<u>As per segment addition postulate</u>
<u>Substituting values:</u>
- 3x + 2 + x + 5 = 23
- 4x + 7 = 23
- 4x = 16
- x = 4
Answer:
1/2
Step-by-step explanation:
Answer:
Area = 10 1/9 meters squared
Step-by-step explanation:
mixed number to improper fraction:
4 2/3 meters = 14/3 meters
2 1/6 meters = 13/6 meters
Area = length times width:
Area = (14/3) x (13/6)
= 182/18
Simplify fraction:
182/18 = 91/9
improper fraction to mixed number:
91/9 = 10 1/9 meters
AREA = 10 1/9 meters
Yes. 6/4 is equivalent to 1 1/2 so 3 > 6/4
Soh Cah Toa
Sine of the angle = opposite side over the hypotenuse
sin(42°) = 6.5/h
rearrange, solve for h
h = 6.5/sin(42°)
h = 9.7 cm
For the other triangle, the angle is unknown. I'd split it into two right triangles; down angle x since it is an isosceles it will be bisected into two equivalent triangles.
The hypotenuse we just found is now split in half. 9.7/2 = 4.9 base of the new smaller right triangle.
The new hypotenuse of the smaller triangle is 7.4 cm
Then you have..
sin(x/2) = 4.9/7.4
sin(x/2) = 0.67
use inverse sine function
arcSin(0.67) = x/2
41 = x/2
82° = x
There are many ways to solve this problem. This is just what I thought of first using trig.
