The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.
Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.
Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.
To make a similarity statement, we just have to match corresponding parts when naming the triangle.
Similarity statement: ΔOJK~ΔOMN
Answer:
33
Step-by-step explanation:
49-15=34
34/17=2
For this sequence, you can write this function:
f(x)=15+2(x-1)
Check:
f(18)=15+2(18-1)
f(18)=15+2(17)
f(18)=15+34
f(18)=49
So:
f(10)=15+2(10-1)
f(10)=15+2(9)
f(10)=15+18
f(10)=33
Answer:
It’s 850
Step-by-step explanation:
Divide the figure into 3 shapes, first one being 10ft times 5ft times 5, followed by 20 times 5 times 5 the another with 10 times 5 times 5. I got 850
Answer:
=24.5%
Step-by-step explanation:
- Simple interest = (principal×rate×time)÷100. *brackets first*
- transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
- plug in values: rate = (100×37975) ÷ (31000×5)
- the result is 24.5%
