Answer:
11.31 units
Step-by-step explanation:
a^2 + b^2 = c^2
8^2 + 8^2 = c^2
64 + 64 = c^2
128 = c^2
Opposite of exponents is square roots, and we need to get rid of that exponent in c^2, meaning we find the square root.
= c
c = 11.31 units
Answer:
Angle 9: 60°
Angle 10: 30°
Side = radius = 40sqrt(x/3)
Area = [800sqrt(3)]x
Step-by-step explanation:
Total angle in a hexagon:
(6 - 2) × 180
720
Each interior angle:
720/6 = 120
angle 9 = 120/2 = 60
Angle 10 = 60/2 = 30
sin(60) = 20sqrt(x)/r
r = 20sqrt(x) ÷ sqrt(3)/2
r = 40sqrt(x/3)
Side:
sin(30) = ½s/(40sqrt(x/3))
½s = 20sqrt(x/3)
s = 40sqrt(x/3)
Area = (3sqrt(3))/2 × s²
Area = 3sqrt(3)/2 × 1600x/3
Area = [800sqrt(3)]x
Answer:
I think the answer is C. 6.75
Answer:
x = 9
y = 13
Step-by-step explanation:
Side-Side-Side or SSS means that if all three sides of one triangle are equal to all three corresponding sides of another triangle, then the two triangles are considered to be congruent (equal).
Therefore, GH = PM ⇒ 7x + 8 = 6y - 7
and, GP = HM ⇒ 8x - 10 = 5y - 3
Rewrite the first expression to make x the subject, then substitute this into the second equation, and solve for y:
GH = PM
⇒ 7x + 8 = 6y - 7
⇒ 7x = 6y - 15
⇒ x = (6/7)y - 15/7
Substituting x = (6/7)y - 15/7 into GP = HM:
GP = HM
⇒ 8x - 10 = 5y - 3
⇒ 8[(6/7)y - 15/7] - 10 = 5y - 3
⇒ (48/7)y - 120/7 - 10 = 5y - 3
⇒ (13/7)y = 169/7
⇒ y = 13
Now we have found a value for y, substitute this into one of the expressions and solve for x:
8x - 10 = 5y - 3
⇒ 8x - 10 = (5 x 13) - 3
⇒ 8x - 10 = 62
⇒ 8x = 72
⇒ x = 9
