Answer:
1. Distributive Property
2. Addition Property of Equality
3. Multiplicative Property of Equality
Step-by-step explanation:
1. The 3 is multiplied by each number in the parenthesis
3*10=30
3*2=6
So 3*(10-2x)=30-6x
2. The 30 is subtracted from both sides
30-6x-30 = -6x
6-30 = -24
30-6x-30=6-30
So -6x=-24
3. The -6 is divided from both sides
-6x/-6 = x
-24/-6 = 4
-6x/-6 = -24/-6
So x=4
Answer:
36
Step-by-step explanation:
Sean purchased a printer and laptop
He sold both for 1,500
He sold the laptop at 1,350
Therefore the cost of the printer can be calculated as follows
1500-1350
= 150
24/100×150
= 0.24×150
= 36
Henve the cost of the printer is £36
Given: line segment AB // to line segment CD, ∠B ≅∠D and line segment BF ≅ to line segment ED. Prove: Δ ABF ≅ Δ CED.
Follow the matching numbers on the statement versus reason chart.
Statement:
1. line segment AB // to line segment CD.
2. ∠B ≅∠D
3. line segment BF ≅ to line segment ED.
4. ∠A ≅∠C
5. Δ ABF ≅ Δ CED
Reason:
1. Given
2. Given
3. Given
4. Alternate interior angles are congruent.
5. Corresponding parts of congruent triangles are congruent.