Answer:
C.) 14
Step-by-step explanation:
Look at the triangle: angles b and c have the same arch, so they are congruent.
In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.
The sides opposite the congruent angles are congruent:
∠B → opposite side → AC
∠C → opposite side → AB
The sides AB and AC are equal. Make an equation:

Simplify the equation, solving for x. Add 7 to both sides:

Subtract 2x from both sides:

The value of x is 7. Insert the value of x into the given length of AC:

Simplify multiplication:

Subtract:

Therefore, the length of the line segment AC is 14.
:Done
A. -(a+5)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(a+5) * -1 = a+5
B. -(-x+31)
Apply the distributive property:
-(-x+31) becomes (- -x +31) which simplifies to (x+31)
multiply that by -1 to get -x+31
C. -(4x+12)
Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:
-(4x+12) * -1 = 4x+12
Answer:
1. at 1 hour, 3 miles is the distance.
2. at 0 hours, 0 miles is the distance.
3. at 3 hours, 9 miles is the distance.
Answer:
x+y < 28
Step-by-step explanation:
1. Look at your variables: x is the first number and y is the second.
2. Know the limits: It says it has to be NO MORE than 28, so the inequality has to be less than (<) 28. And it says that the SUM of 2 numbers (in this case x and y), is no more than 28, so you know there's some addition between the two.
3. Write out your inequality: x+y < 28