Answer:
x = -4/5
Step-by-step explanation:
Solve for x:
(5 x + 4) (8 x - 71) = 0
Split into two equations:
5 x + 4 = 0 or 8 x - 71 = 0
Subtract 4 from both sides:
5 x = -4 or 8 x - 71 = 0
Divide both sides by 5:
x = -4/5 or 8 x - 71 = 0
Add 71 to both sides:
x = -4/5 or 8 x = 71
Divide both sides by 8:
Answer: x = -4/5 or x = 71/8
Answer:
x = 4, ∠I = 33°
Step-by-step explanation:
<u>Question 1</u>
Converse to Base Angles Theorem: 28 = 9x - 8,
28 = 9x - 8 (add 8 to both sides)
9x = 36 (divide both sides by 9)
x = 4
<u>Question 2</u>
Since the triangles are congruent, ∠A ≅ ∠G:
∠A = 55 = ∠G
If we consider triangle ALX we have ∠L = 180-55-92 = 33°
And since ∠L ≅ ∠I, ∠I = 33° respectively
Answer:
Step-by-step explanation:
Answer:
maximum value of y = 3
Step-by-step explanation:
line Starts at -4 , 0 & turns at - 1 , 3
Slope = (3 - 0)/(-1 -(-4)) = 3/3 = 1
y = x + c
=> 0 = - 4 + c => c = 4
=> y = x + 4
line after turning crosses the y-axis at (0, 2) and the x-axis at (2, 0)
slope of this line : (0-2)/(2-0) = -1
y = - x + c
2 = 0 + c => c = 2
=> y = - x + 2
=> y = 2 - x
Values Drawn
x y
-4 0
-3 1
-2 2
-1 3
0 2
1 1
2 0
