Answer:
K = 51
Step-by-step explanation:
Since the triangles are similar, the angles are the same measure.
<K = <F
We can find angle F since the angles of a triangle add to 180
D + G + F = 180
59+70 +F = 180
Combine like terms
129+F = 180
Subtract 129 from each side
129-129+F = 180-129
F = 51
K = F = 51
Answer:
x=27.5
FG=72.5
GH=60
HF=47.5
Step-by-step explanation:
Sum of angles in a triangle=180
Therefore, FG+GH+HF=180
Substituting the values we have,
(3x - 10) + (2x+5) +(x+20) = 180
Collecting like terms
3x+2x+x = 180 +10 - 5 - 20
6x = 165
X= 27.5
FG = (3x - 10) = 3(27.5) - 10
FG= 72.5
GH= (2x+5) = 2(27.5)+5
GH=60
HF= x+20 =27.5+20
HF=47.5
Answer:
$3820 total, $32 per alumnus.
Step-by-step explanation:
The total cost will be 
Each alumnus pays 
Rounding to nearest whole number = $32 per alumnus.
Multiply 6 by 2 and add 6cm. the radius is half of the diameter so just multiply by two and add the number.
Answer:
Step-by-step explanation:
It’s a cube with edge length of 12 cm.
The cube has six faces, and the are ma if each face is 144 cm²
Total surface area = 6×144 = 864 cm²
