Answer:
Step-by-step explanation:
<u><em>The complete question is:</em></u>
In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?
The picture of the question in the attached figure
step 1
Find the measure of angle XWV
we know that
The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)
we have
so
Remember that an isosceles triangle has two equal interior angles
so
step 2
Find the measure of angle WVX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
substitute the given values
step 3
Find the measure of arc WUX
we know that
----> by central angle
we have
therefore
Answer:
f-¹(x) = (4- x)/ 3
Step-by-step explanation:
inverse of a function is nothing but the value of x in terms of f(x)
like
if we write f(x) as y we'd get
y = - 3x + 5
so, ill express x in terms of y:-
y= -3x + 4
- adding 3x on both sides of the equation
y + 3x = -3x + 3x + 4
- subtracting y on both sides
y - y + 3x = 4 - y
3x = 4 - y
- dividing the whole equation by 3
x = (4 - y)/ 3
soo, the inverse of the function is x = (4- y)/ 3
mostly we write the inverse in terms of x, hey! don't get confused, when i say this, I simply mean that we're gonna replace y with x and x with f-¹(x).
therefore,
f-¹(x) = (4- x)/ 3
Marian will pay $472.50 for the sound system if she pays the full amount in one year.
Step-by-step explanation:
Given,
Money borrowed for sound system = $450
Interest rate = 5%
Amount of interest = 5% of money borrowed
Amount of interest = 
If she pays the amount in one year;
Total amount to be paid = Money borrowed + Amount of interest
Total amount to be paid = $450 + $22.50 = $472.50
Marian will pay $472.50 for the sound system if she pays the full amount in one year.
Keywords: interest, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
The common ratio of the sequence is -2.
Step-by-step explanation:
To find the common ratio of a sequence, we divide each term by it's predecessor.
So
-4/2 = 8/-4 = -16/8 = ... = -2
The common ratio of the sequence is -2.
