Prove that DJKL~ DJMN using SAS Similarity Theorem. Plot the points J (1,1), K(2,3), L(4,1) and J (1,1), M(3,5), N(7,1). Draw DJ
dolphi86 [110]
Answer and Step-by-step explanation: The triangles are plotted and shown in the attachment.
SAS Similarity Theorem is by definition: if two sides in one triangle are proportional to two sides of another triangle and the angles formed by those sides in each triangle is congruent, the triangles are similar.
For the triangles on the grid, we know that ΔJKL and ΔJMN have a congruent angle in J as shown in the image. To prove they are similar, we find the slope of sides KL and MN:
<u>Slope of KL</u>:
slope = 
slope = 
slope = -1
<u>Slope of MN</u>:
slope = 
slope = 
slope = -1
Since the slopes of KL and MN are the <u>same</u> and the angle is <u>congruent</u>, we can conclude that ΔJKL~ΔJMN.
Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
Answer:
D
Step-by-step explanation:
Answer:
f(12) = 11
Step-by-step explanation:
To solve this question:
- Substitute x = 12 into the equation: f(12) = 3/4 (12) + 2
- Simplify: 3/4 × 12 = 36/4 which is 9 → f(12) = 9 + 2
Hope this helps!
