Answer:
Step-by-step explanation:
(-4,8) & ( -4,2)
= (-4,5)
Which of the following best describes triangle TUV and triangle XYZ? Please help!
1 answer:
Answer:
Option C. Triangle TUV is similar to triangle XYZ
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem, the corresponding angles between triangle TUV and triangle XYZ are congruent, but its corresponding sides are not congruent
therefore
The triangles are similar
so
The ratio of its corresponding sides must be proportional
<em><u>Verify</u></em>
substitute the values
---> is ok
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Answer:
The solution of the given system of equations is,
Step-by-step explanation:
The given equations are :
<em>x</em> + a<em>y</em> = b .......(1)
a<em>x</em> - b<em>y</em> = c .......(2)
We will use 'Substitution Method' to solve the given system of equations.
In this method, we will find out the value of either of the two variables that is '<em>x</em>' and '<em>y</em>' from one of the two equations in terms of the another variable and then substitute that value in the other equation to find the value of the another variable.
Now, we will be finding out the value of '<em>x</em>' in terms of '<em>y</em>' from equation (1) and then substitute it in the equation (2).
Consider the equation (1), that is,
<em>x</em> + a<em>y</em> = b ⇒ <em>x</em> = b - a<em>y</em> ........(3)
Substitute the value of '<em>x</em>' from (3) in (2), we get
a(b - a<em>y</em>) - b<em>y</em> = c
⇒ab - a²<em>y</em> - b<em>y</em> = c
⇒-a²<em>y</em> - b<em>y</em> = c - ab
⇒-<em>y</em>(a²+b) = c - ab
⇒<em>y</em>(a²+b) = ab - c
Now, substituting the above value of '<em>y</em>' in equation (3), we get
Hence, the solution of the given system of equations is,