Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
M of A = x
m of B = 2x-7
m of C = 2x+2
By the angle sum property of a triangle, we know that all the angles of a triangle add up to 180 degrees.
Thus we can create a linear equation
x + 2x-7 + 2x+2 = 180
4x = 185
x = 185/4
x = 46.25
Thus
m of A = 46.25
m of B = 2(46.25) -7 = 85.5
m of C = 2(46.25) +2 = 90.5
Answer: Two numbers that are greater than 32.46 and less than 32.56 are 32.48 and 32.52. (Answers may vary, these are just two examples.) The difference between the two are 0.04. (once again, answers may vary.)
Answer:
x=14
Step-by-step explanation:
Since the triangles are similar, you first line up the sides. Then, because the 16 and the 24 line up together, you divide them to find out how much bigger the first triangle is, which is 3/2 or 1.5. After that, you can see that the 21 and the x are on the same side, so you would divide 21 by 1.5 or 3/2 to get x. 21÷1.5=14.
x=14
5 - 13 = -8
Hope this helps with your question! :)
