Answer:
12
Step-by-step explanation:
The given expression is :

We need to find the value of this expression when h = 8, j = -1 and k = -12.
Put all the values in the given expression.

So, the value of the given expression is 12.
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
Answer:
It can never be a prime number.
Step-by-step explanation:
This is because the product of the two prime numbers are divisible by those two numbers, therefore going against the definition of a prime number. For example 3 and 5 are prime numbers and their product is 15. 15 can be divided by 3 and 5 so it is not a prime number.
Hope this helps.
Just do pythagorean theorem. The answer is the square root of 75
We all know, savings account have "Compound Interest"
So, Here, On $100 deposit, amount of Interest = $12
So, for $50, it would be: $6
Then, for $300, it is: $36
b) If you deposit $200, then balance after 1 year,
A = P(1 + r)^t
A = 200(1 + 0.03)^1
A = 200(1.03)
A = $206
Now, Balance with $150
A = 150 (1 + 0.03)^1
A = 150(1.03)
A = 154.5
Difference = 206 - 154.5 = $51.5
In short, Your Answer would be: $51.5
Hope this helps!