Answer: we can get the sequence of reasons with help of below explanation.
Step-by-step explanation:
Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)
By joining points B with A and B with C ( Construction)
We get two triangles ABD and CBD.
We have to prove that : Δ ABD ≅ Δ CBD
Statement Reason
1. AD ≅ DC 1. By the property of segment bisector
2. ∠BDA ≅ ∠ BDC 2. Right angles
3. BD ≅ BD 3. Reflexive
4. Δ ABD ≅ Δ CBD 4. By SAS postulate of congruence
Answer:
Yes.
Step-by-step explanation:
Set the equations equal to each other to determine their equality.
-4[3(x - 7)] = 6(14 - 2x)
Distribute the 3 and the 6 into their respective parenthesis.
-4[3x - 21] = 84 - 12x
Distribute the -4 into the brackets.
-12x + 84
Rearrange the equations.
84 - 12x = 84 - 12x
Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.
Bag of potatoes are usually 10 pounds
Answer:
Each time, the x is being multiplied by -3 to result in the output.
So for every x input, multiply by -3.
For the y output for 15, you would divide by -3 to find the input x
For example, when 7 is the input, multiply by -3, and the output y would result in -21.
Answer:
The solution set is (6,3)
Step-by-step explanation:
Begin by multiplying equation 1 by 2. You'll see why in a moment
2y = 2*(1/2) x
2y = x
Substitute this value into equation 2.
2y + 4y = 18 Combine like terms on the left
6y = 18 Divide both sides by 6
6y/6 = 18/6 Do the division
y = 3
To solve for x just use the top equation
y = 1/2x
3 = 1/2x Multiply by 2
3*2 = x
x = 6
