Answer:
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the opposite angles of it add up to 180 degrees.
Here,
∠DCB + ∠DAB = 180 (Opposite angles of a quad inscribed in a circle.)
<u>Given that:</u> ∠DCB = 135° and ∠DAB = x
135 + x = 180
Subtract 135 to both sides
x = 180 - 135
x = 55°
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
FV= 200*(1.07^n)
Step-by-step explanation:
Current population= 200 deer
Growth rate= 7% per year
<u>To calculate the future value of deer in any given years, we need to use the following formula:</u>
<u></u>
FV= PV*(1+g)^n
FV= future value
PV= present value
g= growth rate
n= number of years
FV= 200*(1.07^n)
<u>For example, the population in 5 years:</u>
FV= 200*(1.07^5)
FV= 281
Answer:
50 g onions
30 g carrots
1 tablespoon of oil
200 g tomatoes
300 ml vegetable stock
Step-by-step explanation:
Divide all the quantities by 3
150/3 g onions
90/3 g carrots
3/3 tablespoons of oil
600/3 g tomatoes
900/3 ml vegetable stock
For one portion:
50 g onions
30 g carrots
1 tablespoon of oil
200 g tomatoes
300 ml vegetable stock
Answer:
B.) 51/64
Step-by-step explanation:
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
