You can't use 1 point on a line to make a full slope. To make a full slope you would need 2 points on a line. To make more than one slope you would need more than 2 points on a line.
Hope this helped! :D
Answer:
Below in bold.
Step-by-step explanation:
Total number of marbles = 3+4+5 = 12
P(white, red) = 4/12 * 3/11
= 12/132
= 1/11,
P(blue, white, red) = 5/12 * 4/11* 3/10
= 60/1320
= 6/132
= 1/22.
<h3>
Answer: 28/53</h3>
Explanation:
Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.
The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.
Answer:
LN = 15
Step-by-step explanation:
The arrows on the line segments indicate they are parallel.
![\implies \overline{KM} \parallel \overline{JN}](https://tex.z-dn.net/?f=%5Cimplies%20%5Coverline%7BKM%7D%20%5Cparallel%20%5Coverline%7BJN%7D)
<u>Triangle Proportionality Theorem</u>
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.
![\textsf{If }\overline{KM} \parallel \overline{JN}, \textsf{ then }\dfrac{LK}{LJ}=\dfrac{LM}{LN}](https://tex.z-dn.net/?f=%5Ctextsf%7BIf%20%7D%5Coverline%7BKM%7D%20%5Cparallel%20%5Coverline%7BJN%7D%2C%20%5Ctextsf%7B%20then%20%7D%5Cdfrac%7BLK%7D%7BLJ%7D%3D%5Cdfrac%7BLM%7D%7BLN%7D)
Given:
⇒ LK = JL - JK = 30 - 18 = 12
Substituting the values into the equation and solving for LN:
![\begin{aligned}\implies \dfrac{LK}{LJ} & = \dfrac{LM}{LN}\\\\\dfrac{12}{30} & = \dfrac{6}{LN}\\\\12LN & = 30 \cdot 6\\\\LN & = \dfrac{180}{12}\\\\LN & = 15\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20%5Cdfrac%7BLK%7D%7BLJ%7D%20%26%20%3D%20%5Cdfrac%7BLM%7D%7BLN%7D%5C%5C%5C%5C%5Cdfrac%7B12%7D%7B30%7D%20%26%20%3D%20%5Cdfrac%7B6%7D%7BLN%7D%5C%5C%5C%5C12LN%20%26%20%3D%2030%20%5Ccdot%206%5C%5C%5C%5CLN%20%26%20%3D%20%5Cdfrac%7B180%7D%7B12%7D%5C%5C%5C%5CLN%20%26%20%3D%2015%5Cend%7Baligned%7D)