Solve for Y ABC = DEF
1 answer:
Answer:
12
Step-by-step explanation:
△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!
This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.
First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).
Now, we just solve it!
y=12
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Answer:
72.14 units
Step-by-step explanation:
Let A(8,13), B(5,-18),C(-6,-6) and D(-2,-5)
Apply the distance formula as;
Finding the lengths of the segments
For AB
For BC
For CD
For DA
Finding the perimeter will be;
31.14+16.28+4.12+20.6=72.14 units
Answer:
The man's income by the 20th week will be Rs. 1770
Step-by-step explanation:
Given that the income of man in first week is Rs. 60
It is also mentioned that the income increases every week then the previous one.
which means the weekly incomes will be like:
60,63,66,69.....
As the common difference of terms is same i.e. 3, it forms an arithmetic sequence.
Where
The general formula for arithmetic sequence is:
Putting the values of d and a_1 we get
This is the general formula to find the income of any week. Now for 20th week,
n = 20
The income for 20th week is 117.
As we have to find the total income for 20 weeks
We will use the summation formula for arithmetic sequence.
Putting the values
Hence,
The man's income by the 20th week will be Rs. 1770