Option D:
A = 1, B = –3 and C = 4.
Solution:
Given equation is x – 3y + 4 =0.
General equation of a line format:
<em>Ax + By + C = 0</em>
<u>To identify A, B and C in the given equation:</u>
x – 3y + 4 =0 is a equation of a line which is in the form of Ax + By + C = 0.
That is,
The coefficient of x is A ⇒ A = 1
The coefficient of y is B ⇒ B = –3
The constant term is C ⇒ C = 4
A = 1, B = –3 and C = 4.
Hence Option D is the correct answer.
Answer:
A. 243
B. 1
C. 64
D. 0.36
Step-by-step explanation:
The answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
<h3>What is the frequency tree?</h3>
In the question we have that there are 60 students in total out of which 36 are boys:
So number of the girls will be = 60-36=24
Now if 2/3 of the boys speak french the number of the boys who speak french will be = (2÷3)x36=24
Now the number of the boys who speak german will be =36-24=12
Now since 40 students study french so we have the number of the boys who speak french is 24. so the number if the girls who speak french will be =40-24=16
Since there are 24 girls in total and out of them 16 speak french so the remaining girls speak german=24-16=8
Hence answer will be that out of 36 boys 24 speak french and 12 speak german and out of 24 girls 16 speak french and 8 speak german.
To know more about the Frequency tree follow
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Answer:
See below
Step-by-step explanation:
<u><em>Proof:</em></u>
<u><em>Statements </em></u> | <em><u>Reasons</u></em>
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the
| alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.