There will be no angle between the lines as the lines are parallel.
We are given the two lines:
2 x - 3 y + 5 = 0 and 2 x - 3 y - 7 = 0
Slope of the line 2 x - 3 y + 5 = 0:
-a₁/b₁ = -2/-3 = 2/3
Slope of the line 2 x - 3 y - 7 = 0
-a₂/b₂ = -2 / -3 = 2/3
Since both the lines have same slopes, they are parallel lines and will not intersect each other.
So, there will be no angle between the lines.
Learn more about parallel lines here:
brainly.com/question/24607467
#SPJ9
Answer:
X=6
Step-by-step explanation:
Subtract 1 from 2.5 to get 1.5
Multiply by 4 to get 6
So, X=6
Answer:
Option D is correct i.e none of the above
Step-by-step explanation:
According to the definition of parallelogram following are the properties of parallelogram
1. Opposite sides are congruent
2.Opposite angels are congruent
3.Consecutive angles are supplementary
4.If one angle is right, then all angles are right.
5.The diagonals of a parallelogram bisect each other.
6.Each diagonal of a parallelogram separates it into two congruent triangles.
So option D is correct as rest all are properties of parallelogram.
Keywords: Geometry
Learn more about Geometry at:
#learnwithBrainly
The answer is tenth. It goes tenth, hundredth, thousandth... Etc.
Answer:
57 miles
Step-by-step explanation:
We know that
![speed = \frac{distance}{time}](https://tex.z-dn.net/?f=speed%20%3D%20%20%5Cfrac%7Bdistance%7D%7Btime%7D%20)
We were given that: Sam bikes at a speed of 12⅔ mph.
So we want to find the distance he covers in 4½ hours.
To do this, we need to substitute the speed and time into the equation and solve for distance.
![12 \frac{2}{3} = \frac{distance}{4 \frac{1}{2} }](https://tex.z-dn.net/?f=12%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bdistance%7D%7B4%20%5Cfrac%7B1%7D%7B2%7D%20%7D%20)
This implies that:
![distance = 4 \frac{1}{2} \times 12 \frac{2}{3}](https://tex.z-dn.net/?f=distance%20%3D%204%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%2012%20%5Cfrac%7B2%7D%7B3%7D%20)
Let us convert to improper fractions to obtain:
![distance = \frac{9}{2} \times \frac{38}{3}](https://tex.z-dn.net/?f=distance%20%3D%20%5Cfrac%7B9%7D%7B2%7D%20%20%5Ctimes%20%5Cfrac%7B38%7D%7B3%7D%20)
![distance =3 \times 19 = 57](https://tex.z-dn.net/?f=distance%20%3D3%20%5Ctimes%2019%20%3D%2057)
The Sam covers 51 miles in 4.5 hours