Answer:
a) the point is on the line
b) the lines are the same line
Step-by-step explanation:
a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.
b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.
4n - 7 = 13
4n = 20
n = 5. Hope it helps!
Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Step-by-step explanation:
In Triangles WUV and XZY:
Therefore:
To show that the triangles are similar by the SSS similarity theorem, we have:
As a check:
The correct option is A.
The answer is X= 25
You just have to divide 125 by 5
Answer: Todd used 27 black tiles.
Step-by-step explanation:
Let x represent the number of black tiles that Todd used.
Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x
Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is
21 × 3 = 63 square centimeters
Also, the total area covered by the black tiles is
3 × x = 3x square centimeters
The mosaic has a total area of 144 square centimeters. This means that
3x + 63 = 144
3x = 144 - 63
3x = 81
x = 81/3 = 27
