P= 13.6
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Answer: m = 16
Remember: the base angles of a trapezoid are congruent.
Form your equation.
4m + 1 = 2m + 33
Solve for m.
4m + 1 = 2m + 33 Subtract 1 from both sides
4m = 2m + 32 Subtract 2m from both sides
2m = 32 Divide by 2 to both sides
m = 16 Answer!
You can also check your work.
4(16) + 1 = 2(16) + 33
64 + 1 = 32 + 33
65 = 65
Answer:
j=10.8
Step-by-step explanation:
First, you want to get rid of that 1, so to do that, you add 1 to each side, so you have j/4=2.7. Next, to get rid of the division, you need to multiply by 4 instead, so if you multiply each side by 4 to cancel out the division, you're left with j=10.8
Casey is 18 years old and Ralph is 3 years old.
Step-by-step explanation:
Let,
Age of Casey = x
Age of Ralph = y
According to given statement;
x = 6y Eqn 1
In two years
x+2=4(y+2)
x+2=4y+8
x = 4y+8-2
x = 4y+6 Eqn 2
Putting value of x from Eqn 1 in Eqn 2

Dividing both sides by 2

Putting y=3 in Eqn 1

Casey is 18 years old and Ralph is 3 years old.
Keywords: word problems, substitution method
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