Answer:80
Assume the number to be 400 for instance,
10% of 400 increased = 400 + ( 10/100 × 400 )
= 400 + 40 = 440
The resulting number decreased by its 10% = 400 - (10/100 × 400)
= 400 - 40 = 360
Now, net decrease = 440 - 360 = 80
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
X = −19.30434782608696
You need me to explain?
Answer:
140
Step-by-step explanation:
∠8=140 (alt. ext. ∠)
In this problem, we could use the Angle Addition Postulate property. This property states that all interior angles within should sum of to the total angle. It is specifically stated that point H is interior of angle ∠JAK. Looking at the diagram attached in the picture, line segment AH is drawn in the middle. Therefore, the Angle Addition Postulate tells us that the sum of interior angles JAH and angle HAK, is equal to the total angle JAK.
∠JAK = ∠JAH + ∠HAK
∠JAK = (3x - 8) + (x+2)
But there is a missing information. Without knowing the total angle JAK, we can't solve for x. Consequently, we can't solve for the interior angles. So, let's just assume that ∠JAK = 45°. This is just for sample purposes.
45° = (3x - 8) + (x+2)
45 = 4x - 6
4x = 45+6
4x = 51
x = 12.75°
Therefore, the interior angles are equal to
∠JAH = 3(12.75) - 8 = 30.25°
∠HAK = 12.75 + 2 = 14.75°