Answer:
(0, 11) is a solution.
(8, 12) is a solution.
(16, 13) is a solution
(1, 89/8)
(2, 45/4)
Step-by-step explanation:
y = 1/8x + 11
for this equation....
y = (1/8) x + 11
let x = 0 get
y = 0 + 11 = 11
(0, 11) is a solution.
(8, 12) is a solution.
(16, 13) is a solution
(1, 89/8) because y = 1/8 + 11 = 1/8 + 88/8 = 89/8
(2, 45/4)
If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°
Answer: 14+5x
Step-by-step explanation:
(18+8x) - (4+3x)
18+8x-4-3x
14+5x
Answer:
x-3=-3
Step-by-step explanation:
Given:
Height of right triangle = 9 mi
Hypotenuse = 17.5 mi
Base of right triangle = Distance across lake
To find:
The distance across the lake.
Solution:
Using Pythagoras theorem:
In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.


Subtract 81 from both sides.


Taking square root on both sides.
⇒ base = 15
The distance across the lake 15 mi.