Answer:
see explanation
Step-by-step explanation:
(1)
x + 20 and 45 are vertically opposite angles and are congruent, so
x + 20 = 45 ( subtract 20 from both sides )
x = 25
Similarly 5y and 135 are vertically opposite angles and are congruent
5y = 135 ( divide both sides by 5 )
y = 27
(2)
x + 30 and 70 are vertically opposite angles and are congruent, then
x + 30 = 70 ( subtract 30 from both sides )
x = 40
Similarly y + 50 and 110 are vertically opposite and congruent , so
x + 50 = 110 ( subtract 50 from both sides )
x = 60
Answer:
f^-1 = 4(x-3)
Step-by-step explanation:
If f(x) = 1/4(x) + 3 we ned to find f^-1.
To find the inverse function, we need to solve the equation for "x", as follows:
f(x) = 1/4(x) + 3
y = 1/4(x) + 3
y-3 = 1/4(x)
4(y-3) = x
Now, change the "x" for an "y". And change the "y" for an "x":
4(x-3) = y
The solution is the last one.
Answer:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Step-by-step explanation:
Find the interval of convergence of the following series
Possible Answers:
(4,6)
[4,6)
(4,6)
[4,6]
Correct answer:
(4,6)
Explanation:
Answer:
A. Perpendicular
Step-by-step explanation:
When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.
So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.
It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.
Answer:
Brittany needs another $3.7405.
Step-by-step explanation:
Per pound Cost of turkey = $5.96 per pound
The amount Brittany buys the turkey = 2.55 pounds
Brittany's cost for turkey = 2.55 × $5.96 = $15.198
Per pound cost for cheese = $3.35 per pound
The amount Brittany buys the cheese = 3.7 pounds
Brittany's cost for cheese = 2.55 × $3.35 = $8.5425
So,
Brittany's total cost = Turkey cost + Cheese cost
= $15.198 + $8.5425
= $23.7405
As brittany gave the clerk 20 dollars.
So, the amount she further needs will be:
$23.7405 - $20 = $3.7405
Therefore, Brittany needs another $3.7405.