Answer: e + 11
Step-by-step explanation:
Answer:
A) 0
Step-by-step explanation:
When x is divided by 11, we have a quotient of y and a remainder of 3
x/11 = y + 3
x = 11y + 3 ........(1)
When x is divided by 19, we have a remainder of 3 also
x/19 = p + 3 (p = quotient)
x = 19p + 3 ..........(2)
Equate (1) and (2)
x = 11y + 3 = 19p + 3
11y + 3 = 19p + 3
11y = 19p + 3 -3
11y = 19p
Divide both sides by 11
11y/11 = 19p/11
y = 19p/11
y and p are integers. 19 is a prime number. P/11 is also an integer
y = 19(integer)
This implies that y is a multiple of 19. When divided by 19, there is no remainder. The remainder is 0
Answer:
You should ask your teacher for help and pay attention in class
Step-by-step explanation:
Take half of the coefficient of x (which is 2/5) and square it:
[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04
Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,
x^2 + (2/5)x = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or
(x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25
Answer:
15°
Step-by-step explanation:
The line in the middle of the triangle divides it into two triangles. These two triangles are equal. You can see this because the given angle (90°) is equal for both sides, and the bottom sides (23) are also equal to each other.
Since the triangles are equal, this means that the given angle of 75° also applies to the other side. The total degrees a triangle can have is 180°. Use the given angles to solve for the unknown angle.
75° + 90° + x = 180°
165° + x = 180°
x = 15°
The angle measure will be 15°.
