the area covered by an invasive tropical plant triples every year. by what factor does the area covered by the plant increase ev
1 answer:
The area covered by the plant increases by 16.66% every month.
Step-by-step explanation:
Step 1; It is given that the plant's area triples every year. So if the plants' area is 100 square feet at the beginning of a year it will be 300 square feet at the end of the year. So there will be an increase of 200% in a year.
Step 2; So to find the increase per month we divide the 200% increase per year by 12 so that it becomes a monthly increase.
Monthly increase = % = 16.66%. So the tropical plant's area increases by 16.66% each month.
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Answer:
Yes, they are congruent by SAS postulate.
Step-by-step explanation:
Let us first name the vertices of both the triangles.
The labelled diagram is shown below.
Consider the triangles ABC and ACD
Statements Reasons
1. BC ≅ AC Given
2. ∠ ACB ≅ ∠ CAD Given
3. AC ≅ AC Common sides are congruent due to Reflexive property
As two corresponding sides and the included angles between them are congruent, therefore the two triangles are congruent by SAS postulate.
So, we can conclude that the given triangles are congruent.
