Answer:
Angle x is 64 degrees. Angle y is 128.
Step-by-step explanation:
To find angle x:
In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.
To find angle y:
Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.
Answer:
it will be 36 (B)
Step-by-step explanation:
1/2(72+55)=36
hope this help!
The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
F(x)=2x
G(x)=x+5
Now
F(g(x))=2(x+5)
=2x+10
G(f(x))=2x+5
Answer:
The company's profit in 2007 was 11.088 millions
Step-by-step explanation:
This is a compound interest problem where the initial amount is 8.8 million, the interest rate is 6% and the time period is 4 years and it gets compounded yearly. So we can use the compound interest formula, that is given by:
A = P*(1 + r/n)^(n*t)
Where A is the final amount, P is the initial amount, r is the rate, t is the total amount of time and n is the number of times it gets compounded in one year. We can now use all the values that were given to us to find out the profit of the company.
A = 8.8*(1 + (0.06))^(4) = 8.8*(1.06)^16
A = 8.8*1.26 = 11.088 millions
So the company's profit in 2007 was 11.088 millions
