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
Slope of line t is -1/5
If two lines are perpendicular, the product of their slopes is -1
Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .
<u>Step-by-step explanation:</u>
Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:
Andrea has some money , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :
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Now , she had a total of 73 cents i.e.
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Initially Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .
it will take the duck 5.8 seconds to reach 29 feet of depth.