Since <A is congruent to <C , so triangle ABC is an isoceles triangle and side AB is congruent to BC.
AB = BC
Therefore, we can set up an equation as following:
10x - 7 = 2x + 33
10x - 7 - 2x = 2x + 33 -2x Subtracting 2x from each sides.
8x -7 = 33
8x - 7 + 7 = 33 + 7 Add 7 to each sides.
8x = 40
Divide each sides by 40.
So, x = 5
Answer:
Step-by-step explanation:
<u>Two-digit numbers are:</u>
<u>Sum of them is:</u>
- 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528
- 22a + 22b + 22c = 528
- a + b + c = 528/22
- a + b + c = 24
The only option of three different digits with the sum of 24 is 7, 8 and 9
Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)
The difference is 5, therefore
x - y = 5 (2)
Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25
From (1), obtain
25 + y = 45
y = 45 - 25 = 20
Answer: 20 and 25
Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
Rate of change = slope
slope = )y2 - y1) / (x2 - x1)
(0,-4)....x1 = 0 and y1 = -4 (pay attention to the negative sign when subbing)
(3,2)....x2 = 3 and y2 = 2
now we sub
slope(rate of change) = (2 - (-4) / (3 - 0) = (2 + 4) / 3 = 6/3 = 2 <==
