Answer:
135.5
Step-by-step explanation:
192-56.5= 135.5
Answer:
19. 188
20. 18
21. 5
21. 4
Step-by-step explanation:
634.58 would round up to 635 and 436.79 would round up to 437.
20. 37.86 would round up to 38 and 19.92 would round up to 20.
21. 14.49 would round to 14 and 8.59 would round up to 9.
22. 7.45 would round down to 7 and 2.93 would round up to 3.
Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
Answer:
48cm².
Step-by-step explanation:
Area of a triangle = ½ × b × h.
½ × 12 × 8 = 48cm².
<h3>
Answer: C) perpendicular</h3>
Explanation:
Each equation given to you is in y = mx+b form (aka slope intercept form).
The slope m is what we'll focus on.
The first equation has slope of 1, while the second equation has slope -1.
The two slopes multiply to -1. This is a property of any pair of perpendicular lines, as long as neither line is vertical nor horizontal.
Or you could note that -1 is the negative reciprocal of 1, or vice versa.
So there are a few options to see why the lines are perpendicular.
