9514 1404 393
Answer:
- angle SVR = 30°
- angle PVR = 90°
- angle SVQ = 60°
- angle SVP = 120°
- angle RVQ = 30°
Step-by-step explanation:
As with finding distances on a number line, the easiest way is to subtract the smaller coordinate from the larger. Here, the "number line" is the arc at the edge of the protractor. The corresponding coordinates are ...
S: 40°
R: 70°
Q: 100°
P: 160°
The measure of an angle with its vertex at V will be the difference between the "coordinates" of the endpoints of the arc it intercepts. That is ...
m∠SVR = "R" - "S" = 70° -40° = 30°
The other angles are found the same way:
m∠PVR = 160° -70° = 90°
m∠SVQ = 100° -40° = 60°
m∠SVP = 160° -40° = 120°
m∠RVQ = 100° -70° = 30°
The values are as follows:
z=50
v= 150
x= 100
y=15
w= 50
<h3>What is parallel lines?</h3>
Parallel lines are lines in a plane that are always the same distance apart.
z+130= 180 (Linear pair)
z=50
v+ 30 = 180 (Linear pair)
v= 150
x= 180- 30 - 50 (angle sum property)
x= 100
2y=30 (alternate interior angle)
y=15
w+x+2y=180 (Linear pair)
w+ 100 + 30 = 180
w= 50
Learn more parallel lines here:
brainly.com/question/16701300
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Answer:
216
Step-by-step explanation:
We know that the two angles must add up to 180
so
108+x/3=180
solve for x
72=x/3
x=216
Slope of (6, 9) & (7, 1)
To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁
**Remember : m = slope**
Let's say that (6, 9) is our first set of points, and (7, 1) is our second.
If those are our first and second points, then we now know this :
x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1
Now that we know that, we can simply plug those points into our slope equation.
m = y₂ - y₁ / x₂ - x₁
m = (1 - 9) / (7 - 6 )
Simplify.
m = -8 / 1
Simplify.
m = -8
So, our slope is -8.
~Hope I helped!~
1/3 x -3/4 = -3/12
Simplify by dividing by 3
-1/4