Answer:
y = 40
Step-by-step explanation:
Lets make an equation to represent the sum of the angles:
We know that the sum of angles of triangles equals 180 degrees. So based on this knowledge, the equation is :
2y + y + 10 + 50 = 180
Now we simplify:
2y + y = 3y
10 + 50 = 60
So our new equation is 3y + 60 = 180
Now all we have to do is simplify:
3y + 60 = 180
3y + 60 -60 = 180 - 60
3y = 120
3y / 3 = 120 / 3
y = 40
So the answer is 40 hope this helped
9514 1404 393
Answer:
3 months
Step-by-step explanation:
We don't know what's on your list of "useful financial formulas." One that can be used here is the formula for simple interest:
I = Prt . . . . . interest on principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
Filling in the given values, we can find t to be ...
t = 138/(4800×0.115) = 138/552 = 1/4
1/4 year is 3 months -- the duration of the loan.
Answer:
Step-by-step explanation:
1). x² - 10x + a²
By using the formula of (a - b)² = a² - 2ab + b²
x² - 2(5)x + a²
Therefore, for a perfect square of the expression a should be equal to 5.
Therefore, (x² - 10x + 25) will be the answer.
2). x² + 2ax + 36
= x² + 2(a)x + 6²
For a perfect square of the given expression value of a should be 6.
x² + 2(a)x + 6² = x² + 2(6)x + 6²
= (x + 6)²
Therefore, x² + 12x + 36 will be the answer.
3). 
To make this expression a perfect square,
a² = 
= 
Therefore, the missing number will be 
.
Answer:
A=1/2h(7+11) or A=1/2h(77)
The area is dependent on the height and the height changes based on the length of both of the bases
Step-by-step explanation:
Get the slope:
( 10-(-2) )/( 3 - (-1) ) = 3
Let's use letters to represent the ?'s.
y + k = m(x + 1)
Examine the equation:
Notice that if x were to equal -1, the equation would be equal to 0.
m(-1 + 1) = m(0) = 0
If x were to be -1, then y would have to be -2 since that is one of the points provided in the problem.
So now we have:
-2 + k = 0
Solve for k:
k = 2
So I know that 2 is the only number that will work for k.
Our new equation is y + 2 = m(x + 1)
Recall point slope form:
y - y1 = m(x - x1)
Our equation is in the same form as point slope form, so we know that m in our equation represents the slope.
We found the slope at the beginning, it was 3. So plug it in:
y + 2 = 3(x + 1)
Let's test our answer by plugging in a point. Let's try (3, 10):
10 + 2 = 3(3 + 1)
12 = 12
So our answer is correct:
y + 2 = 3(x + 1) is the answer.
