The two lines with arrows are parallel, which means angles A and B are supplementary.
So we have
A + B = 180º
(6<em>x</em> - 35)º + (3<em>x</em> + 53)º = 180º
(9<em>x</em> + 18)º = 180º
(9<em>x</em>)º = 162º
<em>x</em> = 18
This means angle A has measure
A = (6<em>x</em> - 35)º = 73º
Answer:
3/20
Step-by-step explanation:
Answer:
20.25 per cup because 81÷4= 20.25 then
1) read the label=81 per 4-cups
2) 20.25x4=82 calories
Step-by-step explanation:
hope this helps :D
Answer:
4/10+3/16=47/80
Step-by-step explanation:
(4/10×8/8)+(3/16×5/5)=?
32/80+15/80=?
32+15/80=47/80
Answer:
Formula for g(x) is 
Step-by-step explanation:
Given - g is a trigonometric function of the form g(x)=a sin (bx+c)+d. The function intersects its midline at (-1 , 6) and has a minimum point at (-3.5 , 3)
To find - Find a formula for g (x). Give an exact expression.
Proof -
Given that,
g(x)=a sin (bx+c)+d
We know that, Midline is present in between maximum and minimum
Here given that, minimum is present is 3 and midline is present at 6
So, Maximum occurs at 9.
Now,
We know that,
Standard form of sine function is - g(x) = Asin(B(x-C)) + D
Where
A = Amplitude
and Amplitude = (Maximum - minimum) / 2
= (9 - 3)/ 2
= 6/2 = 3
⇒A = 3
Now,
Period = 
⇒B = (2π) / Period
= (2π) / 10
= π/5
⇒B = π/5
Now,
Phase Shift : C = -1 ( i.e. 1 to the left)
Vertical Shift : D = 6
So,
We get
g(x) = Asin(B(x-C)) + D
= 
⇒
∴ we get
Formula for g(x) is 