Answer:
7/50
Step-by-step explanation:
Answer:
The lines are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are equal
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
we have
----> equation A
isolate the variable y
Divide by 7 both sides
The slope of the line A is 
----> equation B
isolate the variable y
Divide by 3 both sides
The slope of the line B is 
Compare the slope of both lines
so
----> the lines are not parallel
Find the product of the slopes
----> the lines are perpendicular
Answer:
The dimensions of the rectangle are two unknowns: The length "l" and the width "w"
The perimeter of a rectangle is found as P = 2*l + 2*w
We also know that the length is 5cm more than twice the width. l = 2*w + 5
These two equations gives us a system of linear equations.
P = 2*l + 2*w
l = 2*w + 5
We can use substitution to replace the "l" in the first equation with 2*w + 5
P = 2*(2*w + 5) + 2*w
P = 4*w + 10 + 2*w
P = 6*w + 10
We know that P = 34cm
34 = 6*w + 10
Subtract 10 from both sides
24 = 6 * w
Divide both sides by 6
4 = w
Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.
l = 2*4 + 5
l = 8 + 5
l = 13
The dimensions of the rectangle is 13cm x 4cm
1. 10 5/18 - 8 5/6
<span>C. 1 4/9
2.
1 2/5 ÷ 2 1/3
C. 3/5
</span>
Solution:
we have been asked to find the true statement about the exterior angle from the given statements.
As we know that the exterior angles are always out of the triangle and it makes a sum of 180 with anyone of the internal angle of the triangle.
The pair lies on the same straight line and makes a pair.
Hence we can say that it is formed by a linear pair with one of the interior angles of the triangle.
Hence the correct option is D.
