Converse Perpendicular Transversal Theorem.
If two lines are perpendicular to the same line, then the lines are parallel.
Answer:
Line 2 and Line 4 are perpendicular
Step-by-step explanation:
Line 2: y=1/5x−3
Line 4: y+1=−5(x+2)
Answer:
43-(16*11) = -133
Step-by-step explanation:
Answer:
b) √29
Step-by-step explanation:
Given: The origin is (0, 0), the point P is (2, -5).
We need to use the distance formula.
Distance formula =
Here x2 = 2, x 1 = 0, y1 =0, y2 = -5
Distance =
= √(4 + 25)
= √29
The answer is b) √29
Hope you will understand the concepts
Thank you!!
9514 1404 393
Answer:
(c) BK = 65
Step-by-step explanation:
Corresponding sides are proportional in similar triangles, so ...
ZT/ZQ = KF/KB
27/(2x +7) = 45/(4x+1)
27(4x+1) = 45(2x +7) . . . cross-multiply
3(4x +1) = 5(2x +7) . . . . divide by 9
12x +3 = 10x +35 . . . . . eliminate parentheses
2x = 32 . . . . . . . . . . . . . subtract 10x+3
x = 16 . . . . . divide by 2
Then the length of BK is ...
BK = 4x+1 = 4·16 +1
BK = 65
