m∠Z = 55°
Solution:
Given m∠A = 75° and m∠B = 50°
Let us first find the m∠C.
Sum of the angles of the triangle is 180°.
In ΔABC,
m∠A + m∠B + m∠C = 180°
⇒ 75° + 50° + m∠C = 180°
⇒ 125° + m∠C = 180°
⇒ m∠C = 180° – 125°
⇒ m∠C = 55°
Given ΔABC ≅ ΔXYZ.
Corresponding parts of congruence triangles are congruent.
⇒ m∠Z = m∠C
⇒ m∠Z = 55°
Hence, m∠Z = 55°.
ANSWER - x= 4
steps : 3 time x which is 3x and 3 times 2 then 9 times 6 which is 54 and 9 times x then add nine to both sides to cancel out the -9x then it’s 12x + 6 = 54 now subtract 6 from both sides and you get 12x = 48 now divide both sides by 12 and you get 4
The solution to given system of equations is x = 2 and y = -5
<em><u>Solution:</u></em>
<em><u>Given the system of equations are:</u></em>
4x + y = 3 ---------- eqn 1
-2x + 3y = -19 ---------- eqn 2
We have to find the solution to above system of equations
<em><u>We can solve the system by substitution method</u></em>
From eqn 1,
4x + y = 3
Isolate y to one side
y = 3 - 4x ----------- eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
-2x + 3(3 - 4x) = -19
-2x + 9 - 12x = -19
Combine the like terms
-14x = -19 - 9
-14x = -28
Divide both sides of equation by -14
<h3>x = 2</h3>
<em><u>Substitute x = 2 in eqn 3</u></em>
y = 3 - 4(2)
y = 3 - 8
<h3>y = -5</h3>
Thus the solution is x = 2 and y = -5
