Answer:
Yes That Is Correct!
Step-by-step explanation:
If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side (SSS).
BEST OF LUCK IN MATH!
Answer:
A. (-1, 3)
Step-by-step explanation:
To solve, find which point in the options are in the double shaded region (the region that is shaded the darkest which is the region above the point where the lines cross).
A. (-1, 3) is the correct answer because it falls in the correct region.
B. (-4, 1) is not the correct answer because it does not fall ABOVE both lines like the question says.
C. (0, 1) is not the correct answer because it falls in the 2nd darkest region.
I think any of these would work
10;18
15;28
20;35
Answer: y=3/2x-13/2
Step-by-step explanation:
concept to know: two parallel lines have the same slope
y=3/2x+b
in order to find b or the y-intercept, we plug the point in
y=3/2x+b
1=3/2(5)+b
1=15/2+b
b=-13/2
----------------------------
y=3/2x-13/2
Hope this helps!! :)
First, let's convert each line to slope-intercept form to better see the slopes.
Isolate the y variable for each equation.
2x + 6y = -12
Subtract 2x from both sides.
6y = -12 - 2x
Divide both sides by 6.
y = -2 - 1/3x
Rearrange.
y = -1/3x - 2
Line b:
2y = 3x - 10
Divide both sides by 2.
y = 1.5x - 5
Line c:
3x - 2y = -4
Add 2y to both sides.
3x = -4 + 2y
Add 4 to both sides.
2y = 3x + 4
Divide both sides by 2.
y = 1.5x + 2
Now, let's compare our new equations:
Line a: y = -1/3x - 2
Line b: y = 1.5x - 5
Line c: y = 1.5x + 2
Now, the rule for parallel and perpendicular lines is as follows:
For two lines to be parallel, they must have equal slopes.
For two lines to be perpendicular, one must have the negative reciprocal of the other.
In this case, line b and c are parallel, and they have the same slope, but different y-intercepts.
However, none of the lines are perpendicular, as -1/3x is not the negative reciprocal of 1.5x, or 3/2x.
<h3><u>B and C are parallel, no perpendicular lines.</u></h3>
