Answer:
20160 ways
Step-by-step explanation:
![8 \times 7 \times 6 \times 5 \times 4 \times 3 \\ 20160](https://tex.z-dn.net/?f=8%20%5Ctimes%207%20%5Ctimes%206%20%5Ctimes%205%20%5Ctimes%204%20%5Ctimes%203%20%5C%5C%2020160)
Answer:
Triangle OMN and Triangle OJK are similar by SAS Theorem
Step-by-step explanation:
we know that
The<u> Side-Angle-Side (SAS) Similarity Theorem</u> states that- If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles must be similar.
In this problem we have
∠JOK≅∠MON
The corresponding sides including the congruent angle are
OK and ON
OJ and OM
Verify if the corresponding sides are proportional
![\frac{OK}{ON}=\frac{OJ}{OM}](https://tex.z-dn.net/?f=%5Cfrac%7BOK%7D%7BON%7D%3D%5Cfrac%7BOJ%7D%7BOM%7D)
substitute the given values
![\frac{21}{21+7}=\frac{33}{33+11}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B21%2B7%7D%3D%5Cfrac%7B33%7D%7B33%2B11%7D)
![\frac{21}{28}=\frac{33}{44}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B28%7D%3D%5Cfrac%7B33%7D%7B44%7D)
![21*44=33*28](https://tex.z-dn.net/?f=21%2A44%3D33%2A28)
-----> is true
therefore
Triangle OMN and Triangle OJK are similar by SAS Theorem
52 is the answer. I just multiplied 13x4
Answer:
A an D. What is the average number of days per week that you color with markers? and What is your favorite type of pet?
Step-by-step explanation:
I just did the question
78 * ( x/100) = 24
78 * x = 24 * 100
78 * x = 2400
X = 2400/28
X = 400/13
X = 30.77%
The percent is 30.77