1: answer is 8a+24b
2: answer is 6x+33y
Let any integer be represented by x.
Then, the consecutive integer (the number that follows) should be x+1.
The statement wants us to prove;
(x+1)²-x²=x+(x+1) <-- solve left hand side
x²+x+x+1²-x²
2x+1 (solution for left hand side)
Now solve for right hand side.
x+(x+1)= 2x+1
As noticed, the LHS=RHS (left hand side= right hand side), therefore, the difference of squared consecutive numbers subtracted is equal to the sum of the two integers.
Hope I helped :)
Answer:
71°
Step-by-step explanation:
31-3x+19x-5=90
16x=90-26
16x=64
x=4
m<R=19x-5 = 19(4)-5 = 76-5 = 71
Answer:
A) 15 cm B) 1292 cm^2
Step-by-step explanation:
A) height can be used by using Pythagoras theorem
Height^2+base^2=slant^2
height^2+8^2=17^2
height=15 cm
B) The amount of cardboard used can be found by calculating the area
Area=2*(area of triangle) + 3*(area of rectangles)
17*16+3*(20*17)=1292 cm^2
3) Vertical angles are congruent.
4) Corresponding angles tehorem
5) Transitive property of congruence
