Answer:
x = 45
Step-by-step explanation:
The sum of the angles of a triangle are 180
x+x+ 90 = 180
2x+90 =180
Subtract 90 from each side
2x +90-90 =180-90
2x= 90
Divide each side by 2
2x/2 =90/2
x = 45
Answer:
8 and 9
Step-by-step explanation:
Let the two consecutive integers be x - 1 and x
Smaller = x-1
Largere = x
If the square of the smaller integer is nineteen more than five times the larger integer, then;
(x-1)² = 19 + 5x
Expand
x²-2x+1= 19+5x
x²-2x-5x+1-19 -0
x²-7x-18 =0
Factorize
x²-9x+2x-18 =0
x(x-9)+2(x-9) = 0
(x+2) = 0 and x - 9 = 0
x = -2 and 9
SInce x cannot be negative;
x = 9
Smaller number = 9-1
Smaller number = 8
Hence the two consecutive integers are 8 and 9
Answer: 2
Step-by-step explanation:
1 × 70 = 70
2 × 35 = 70
5 × 14 = 70
7 × 10 = 70
10 × 7 = 70
35 × 2 = 70
14 × 5 = 70
70 × 1 = 70
Answer:
0.25 on each side
Step-by-step explanation: