An integer is a number and it's opposite.
A negative integer goes to the left of zero on the number line.
An example of a negative integer and it's opposite is:
negative integer: -10
opposite of the negative integer (the positive integer or additive inverse): 10
1..... 8(x+6)=-64
8x+48 =-64
8x =-64-48
8x=-112
X=-112/8
x=-14....
2.....3(4-2y)=-15
12-6y=-15
-6y=-15-12
-6y = - 27
y=27/6
y=4½....
3.....8w-3w+6=41
5w=41-6
5w=35
W=35/5
w=7....
4.....9x+3+x=-77
10x=-77-3
10x=-80
x=-8...
5.....10(-x-2)=120
-10x-20=120
-10x=120+20
-10x=140
x=140/-10
x=-14...
You shouldn't have a problem with the rest now....
Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
Answer:
Length SD is greater than length DM.
Step-by-step explanation:
We know that the measure of the opposite angle and a side are related, so by determining which angle is bigger, we can discover which side is longer.
Angle SUD is greater than angle MUD. Angle SUD is the opposite angle to SD, and angle MUD is the opposite angle to DM. Therefore, SD is greater than DM.
Answer:
y=-6/5x+7/5
Step-by-step explanation:
1. Take opposite reciprocal of slope from 5/6 -> to -6/5
2. Plug in points with the new slope into point slope form and solve for slope intercept form. y=-6/5x+7/5
