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By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
<h3>What is Angle Sum Property?</h3>
The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
Learn more about this concept here:
brainly.com/question/3486366
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Answer:
y = x² - 6x +5
Step-by-step explanation:
(x -1)(x-5) = y
x² - 5x - x + 5 = y
x² - 6x +5 = y
Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30
Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100
The system of linear equations is:
L + B = 30
4L + 2B = 100 .
Answer:
![\sqrt{144}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D)
Step-by-step explanation:
= ![x^{2} + 9^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%209%5E%7B2%7D)
![x^{2} = 15^{2} - 9^{2} \\x^{2} = 144\\x = \sqrt{144}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%2015%5E%7B2%7D%20%20-%209%5E%7B2%7D%20%5C%5Cx%5E%7B2%7D%20%3D%20144%5C%5Cx%20%3D%20%5Csqrt%7B144%7D)