Answer:
x=28
Step-by-step explanation:
Hi there!
SSS similarity theorem is a theorem that can determine similar triangles; the criteria for SSS~ is that the corresponding sides of the triangles create proportions which is the same as the ratio of similitude (k)
First, we need to find the ratio of similitude.
We need to assume that the triangles are similar.
15 corresponds with 20 (if you turn both triangles until they're titled the same way, you will see that 15 and 20 are the measures of the same sides on the triangles)
so that means 15/20 must make the ratio of similitude
15/20 is equal to 3/4
therefore k=3/4
as the triangle is already assumed similar, that means that 21/x will also give us a ratio that is equal to 3/4 (ratio of similitude)
therefore, 21/x=k
Since both ratios are equal to k, set 3/4 and 21/x equal to each other. This is possible via a property called transitivity (if a=b and b=c, then a=c)
3/4=21/x
cross multiply
3x=84
divide both sides by 3
x=28
So that means that 28 will make the triangles similar by SSS similarity
*you double check by doing 21/28 and see that it's also equal to 3/4
Hope this helps!
Answer:
see the attachment hope it helps you
Step-by-step explanation:
Friends is an American television sitcom created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons.[1] With an ensemble cast starring Jennifer Aniston, Courteney Cox, Lisa Kudrow, Matt LeBlanc, Matthew Perry and David Schwimmer, the show revolves around six friends in their 20s and 30s who live in Manhattan, New York City. The series was produced by Bright/Kauffman/Crane Productions, in association with Warner Bros. Television. The original executive producers were Kevin S. Bright, Kauffman, and Crane.
<h3>
Answer: 3/56</h3>
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Work Shown:
A = event of picking the "2" card
P(A) = probability of event A happening
P(A) = 1/8
This is because there is one card labeled "2" out of 8 cards total
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B = event of picking a number less than 6, given event A has happened
P(B) = 3/7
There are 3 cards less than 6 (those cards are labeled 3,4, and 5) out of 8-1 = 7 cards left over. We havent put the first card back so that's why 8 drops to 7. We also don't consider the "2" card. So that's where the 3/7 comes from.
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P(A and B) = P(A)*P(B)
P(A and B) = (1/8)*(3/7)
P(A and B) = (1*3)/(8*7)
P(A and B) = 3/56
72+72+144 and 144 minus 360 equals 216 so half of 216 is 10. so the top and bottom are 108 degrees.
Answer:
120
Step-by-step explanation:
angle AC = 180, so 3x = 180, so x = 60. Accoding to the Adajacent Angle Theorem, 2x = AB, so AB = 120.