Answer:
c = 12
Step-by-step explanation:
3(c - 4) = 4(c - 6)
Use the distributive property on each side.
3c - 12 = 4c - 24
Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.
3c - 4c - 12 + 12 = 4c - 4c - 24 + 12
Combine like terms on each side.
-c = -12
Multiply both sides by -1.
c = 12
<span>
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Answer:
Step-by-step explanation:
First, we need to write down the equations so we can have a vision of the equations.
3x - 6y = -12
x - 2y = -8
Now we find the simpler equation, and we make it to where one of the variables is on one side.
Let's use the bottom equation.
x = 2y - 8
Now we plug in the equation to the other equation.
3(2y - 8) - 6y = -12
6y - 24 - 6y = -12
-24 = -12
0 = 12
This is a false statement. 0 does not equal 12. That means that the equation has no solutions.
Answer:
m<RPQ = 22°
Step-by-step explanation:
Given:
m<SRQ = 90°
PS = PQ
m<SQR = 46°
Required:
m<RPQ
Solution:
m<SQR + m<SRQ + m<RSQ = 180°
Substitute
46° + 90° + m<RSQ = 180°
m<RSQ = 180° - 136°
m<RSQ = 44°
Find m<PSQ:
m<PSQ = 180° - m<RSQ (Angles on a straight line
m<PSQ = 180° - 44° (Substitution)
m<PSQ = 136°
Find m<RPQ:
∆QSP is an isosceles triangle with two equal base angles. Therefore:
m<RPQ = ½(180° - 136°)
m<RPQ = 22°
The hypotenuse is the side opposite to the right angle.
B.) opposite