In ∆ ABC and ∆ PQR ,∠B = ∠Q , ∠C = ∠R , AB = 2PQ , then which of the statements is true? *
1 point
a ) the triangles are not congruent and not similar
b ) the triangles are similar but not congruent
c ) the triangles are similar and congruent
d ) none of the above is true
Answers
Answer:
b)
Step-by-step explanation:
Cause, the triangles are similar but not congruent
Step-by-step explanation:
Let:−
\sf{\implies The\: number\:_{(correct\:question)}=x}⟹Thenumber
(correctquestion)
=x
\sf{\implies The\: number\:_{(wrong\:question)}=x}⟹Thenumber
(wrongquestion)
=x
\sf\large\underline{To\:Find:-}
ToFind:−
\sf{\implies The\: number\:_{(correct\:question)}=?}⟹Thenumber
(correctquestion)
=?
\sf\large\underline{Solution:-}
Solution:−
To calculate the number of correct question which is given by Herman at first we have to focus on the given Question after that we have to set up equation then solve the equation by solving we get the number of correct question.
\sf{\implies Calculation\:for\:1st\:equation:-}⟹Calculationfor1stequation:−
\sf{\implies Number\:_{(correct\:Q)}-1=Number\:_{(wrong\:Q)}}⟹Number
(correctQ)
−1=Number
(wrongQ)
\tt{\implies x-1=y}⟹x−1=y
\tt{\implies x-y=1---(i)}⟹x−y=1−−−(i)
\sf{\implies Calculation\:for\:2nd\:equation:-}⟹Calculationfor2ndequation:−
\sf{\implies mark\:_{(correct\:Q)}-mark\:_{(wrong\:Q)}=Total\:_{(marks)}}⟹mark
(correctQ)
−mark
(wrongQ)
=Total
(marks)
\tt{\implies 4x-y=40-----(ii)}⟹4x−y=40−−−−−(ii)
In eq (i) multiply by 4 then subract from (ii):-]
\tt{\implies 4x-4y=4}⟹4x−4y=4
\tt{\implies 4x-y=40}⟹4x−y=40
By solving we get here:-]
\tt{\implies -3y=-36}⟹−3y=−36
\tt{\implies y=12}⟹y=12
Putting the value of y=12 in eq (i):-]
\tt{\implies x-y=1}⟹x−y=1
\tt{\implies x-12=1}⟹x−12=1
\tt{\implies x=1+12}⟹x=1+12
\tt{\implies x=13}⟹x=13
\sf\large{Hence,}Hence,
\sf{\implies The\: number\:_{(correct\:question)}=13}⟹Thenumber
(correctquestion)
=13