In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
(a) m ZVUX =
(b) m ZUXW =
Answers
Given:
In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].
To find:
The following measures:
(a) [tex]m\angle VUX[/tex]
(b) [tex]m\angle UXW[/tex]
Solution:
According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.
[tex]m(VUX)=2\times m\angle VWX[/tex]
[tex]152^\circ=2\times m\angle VWX[/tex]
[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]
[tex]76^\circ=m\angle VWX[/tex]
In a cyclic quadrilateral, the opposite angles are supplementary angles.
UVWX is a cyclic quadrilateral. So,
[tex]m\angle VUX+m\angle VWX=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle VUX+76^\circ=180^\circ[/tex]
[tex]m\angle VUX=180^\circ-76^\circ[/tex]
[tex]m\angle VUX=104^\circ[/tex]
Now,
[tex]m\angle UXW+m\angle UVW=180^\circ[/tex] [Opposite angles of a cyclic quadrilateral]
[tex]m\angle UXW+77^\circ =180^\circ[/tex]
[tex]m\angle UXW=180^\circ-77^\circ[/tex]
[tex]m\angle UXW=103^\circ[/tex]
Therefore, [tex]m\angle VUX=104^\circ[/tex] and [tex]m\angle UXW=103^\circ[/tex] .
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Can someone help me find the volume of the cone and the entire figure
Answers
Answer:
10x15x10 1500
Step-by-step explanation:
If f(x) = 2x^2 - 4x - 3' and `g(x) = (x - 4)(x + 4)", find 'f(x) - g(x).
Answers
Answer:
B
Step-by-step explanation:
f(x) - g(x)
= 2x² - 4x - 3 - (x - 4)(x + 4) ← expand using FOIL
= 2x² - 4x - 3 - (x² - 16) ← distribute by - 1
= 2x² - 4x - 3 - x² + 16 ← collect like terms
= x² - 4x + 13 → B
answer this and don’t answer if you are not smart
Answers
Answer:
60 degrees
Step-by-step explanation:
This is a complementary angle, so the equation to use is 30+x=90.
To find out what x is, we have to use the Subtraction Property of Equality.
30+x=90
-30 -30
x=60
plz help me to find this answer plz
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Answer:
I think the answer would just be 2, I'm not for sure on this one
please help me out, thank youuu !
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What is the midpoint of the segment with endpoints (1,9)and(-3,5)
Answers
Answer:
(-1,7)
Step-by-step explanation:
What is the answer to v/3 +17=19
Answers
Answer:
v=6
Step-by-step explanation:
(v/3+17=19)x3
v+51=57
v=57-51
v=6
It’s lines please help me
Answers
Answer: maybe line C, i dont know
Step-by-step explanation:
An ice cream shop makes sundaes with chocolate or vanilla flavors and sprinkles,
fudge or caramel toppings. Which tree diagram shows all possible flavor combinations of sundaes with one flavor of ice cream and one topping?
Answers
Answer:
top left aka the first option
The tree that shows the correct combination of one flavor of ice cream and one topping is the the first tree.
What is tree diagram ?A tree diagram is a tool in the fields of general mathematics, probability, and statistics that helps calculate the number of possible outcomes of an event or problem, and to cite those potential outcomes in an organized way.
Tree diagrams, also known as probability trees or decision trees, are quite versatile and may be useful in many fields, including finance.
A tree diagram lets a user start at a single point and make mutually exclusive decisions or experience mutually exclusive events to follow a path down the branches of the tree. Using a tree diagram is simple once you assign the appropriate values to each node.
From the question, and the definition it is clear that vanilla splits into fudge and caramel and chocolate to sprinkles.
Hence A is the correct option.
To know more about tree diagram here
https://brainly.com/question/13311154
#SPJ3
One customer paid $12 for 14 postcards and 5 large envelopes. Another customer paid $24.80 for 10 postcards and 15 large envelopes. What was the cost in dollars of each large envelope?
Answers
Answer:
$1.42
Step-by-step explanation:
Since, The first customer paid $12 for 14 postcards and 5 large envelopes.
That is, 14 x + 5 y = 12 ------ (1)
And, The second customer paid $24.80 for 10 postcards and 15 large envelopes.
That is, 10 x + 15 y = 24.80 -------(2)
3 × equation (1),
We get, 42 x + 15 y = 36 ---------(3)
Equation (3) - Equation (2)
32 x = 11.20
⇒ x = 11.20/32
⇒ x = 0.35
By putting the value of x in equation (1),
We get, 14 × 0.35 + 5 y = 12
⇒ 4.9 + 5 y = 12
⇒ 5 y = 7.1
⇒ y = 1.42
Thus, the cost of one postcard = $ 0.35
And, the cost of each large envelope = $ 1.42
Para llenar una piñata con dulces se necesitan 8.3 libras de dulces ¿cuantos kilogramos se tuvieron que comprar?
Answers
Answer:
Tuvieron que comprar 3.73 kg.
Step-by-step explanation:
Para obtener la respuesta, tienes que encontrar a cuántos kilogramos equivalen 8.3 libras de dulces y para esto puedes utilizar una regla de tres teniendo en cuenta que 1 libra es igual a 0.45 kilogramos:
1 libra → 0.45 kilogramos
8.3 libras → x
x=(8.3*0.45)/1=3.73 kg
De acuerdo a esto, la respuesta es que tuvieron que comprar 3.73 kg.
if y° and 75° are the opposite angles of rhombus, then y°=.....
Answers
Answer:
if y° and 75° are the opposite angles of rhombus, then y°=75° [ the opposite angles of rhombus are equal]
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity (by using the limit) at t = 8 by finding the derivative
Answers
Answer: [tex]v=-3[/tex]
Step-by-step explanation:
Given
The position of a particle is [tex]s(t)=-9-3t[/tex]
Velocity is given by the derivative of position with respect to time
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\Rightarrow v=-3[/tex]
So, velocity is constant at any point in time.
At t=8, it is [tex]v=-3[/tex]
I don't understand how to solve this
Answers
Answer:
7 and 5 are congruent
Step-by-step explanation:
which pair of angles is congruent meaning which pair of angles is the same when looking at the angles given angles 5 and 7 are the same
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Answers
Answer:
25x
Step-by-step explanation:
6x + 9 = 25x
Answer:
6
Step-by-step explanation:
Coefficients are the numbers in terms with the variable
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HELP Use either law of sines or law of cosine. Need help on this problem! show work please!
Answers
Answer: x = 15.035677095729 approximately
Round this however you need to.
=================================================
Explanation:
I'm assuming you want to find the value of x, which your diagram is showing to be the length of segment QR.
If so, then we'll need to find the measure of angle Q first. Using the law of sines, we get the following:
sin(Q)/q = sin(R)/r
sin(Q)/PR = sin(R)/PQ
sin(Q)/13 = sin(85)/19
sin(Q) = 13*sin(85)/19
sin(Q) = 0.6816068987
Q = arcsin(0.6816068987) ... or ... Q = 180-arcsin(0.6816068987)
Q = 42.9693397461 ... or ... Q = 137.0306602539
These values are approximate.
----------------
Now if Q = 42.9693397461 approximately, then angle P is
P = 180-Q-R
P = 180-42.9693397461-85
P = 52.0306602539
Similarly, if Q = 137.0306602539 approximately, then,
P = 180-Q-R
P = 180-137.0306602539-85
P = -42.0306602539
A negative angle is not possible, so we'll ignore Q = 137.0306602539
----------------
The only possible value of angle P is approximately P = 52.0306602539
Let's apply the law of sines again to find side p, aka segment QR
sin(P)/p = sin(R)/r
sin(P)/QR = sin(R)/PQ
sin(52.0306602539)/x = sin(85)/19
19*sin(52.0306602539) = x*sin(85)
19*sin(52.0306602539)/sin(85) = x
x = 15.035677095729
This value is approximate.
Round this value however you need to.
Which of the following shows how to simplify 2 (4a + 6)?
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Answers
You have to work out between 2 x 4a = 8a
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Answers
Answer:
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE HELP
1. Melanie invested $12,200 at 4.8% interest compounded semiannually, and she wants to know how much her investment will be worth in 8 years. (5 points: Part I – 1 point; Part II – 2 points; Part III – 1 point; Part IV – 1 point)
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Part II: How many compounding periods does Melanie's investment offer in a year? How about in 8 years?
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Part IV: How much will Melanie's investment be worth in 8 years?
Answers
Answer:
Part I
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Answer:
Heyy, could you please take a screenshot? It'll be so much easier to see haha. Try Snipping tool if you have Windows, and Command + Shift + 4 for screenshot on Mac. Then I can answer.
Step-by-step explanation:
The length of a rectangle is 3 inches longer than twice its width, where w is the width of th
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Answers
Answer:
6 in and 15 inStep-by-step explanation:
Given:
l = 2w + 3A = 90 in²w = ?l = ?Area formula:
A = lwSubstitute values and solve for w:
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Length be 2x+3Now
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LT1 10th grade level
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Answer:
SAS.Here angle ABC = angle HGF ......( each 90° )
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solve the inequality m - 3 less than -2
Answers
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Step-by-step explanation:
You add 3 to both sides because you minusing the 3. Then since your working with a negative you have to switch the signs
Solve for X.
Then, Solve for Y.
Answers
Step-by-step explanation:
Refer to attachment.
Hope it helps :D
First solved for x, then for y [tex].[/tex]
Which transformation shows a translation of 3 units to the right?
A)
А
B)
B
0)
С
D)
D
Answers
Answer:
B
Step-by-step explanation:
It shows the P moving to the right three units without flipping it.
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Answers
Antonio writes the equation 80.4 ÷ d = 0.0804.
Part A
What value of d makes the equation true?
A. 10 to the 2 power
B. 10 to the 3 power
C. 10 to the 4 power
D. 10 to the 5 power
Answers
Answer:
B
Step-by-step explanation:
Because
A)
[tex]80.4 \div {10}^{2} = 0.8.4[/tex]
B)
[tex]80.4 \div 10^{3} = 0.0804[/tex]
C)
[tex]80.4 \div {10}^{4} = 8.04 \times {10}^{ - 3} [/tex]
D)
[tex]80.4 \times {10}^{5} = 8.04 \times {10}^{ - 4} [/tex]
What do the a b and c stand for in the pythagorean theorem?
Answers
hope this helps!
Answer:
A, B, and C are labeled for each side of a right triangle.
Step-by-step explanation:
A and B are used to label the legs while C is used to label the hypotenuse(AKA the long side of a right triangle and the side opposite of the 90° angle.) The B side is the opposite side of the hypotenuse or the side C. The A is the bottom leg that is in between sides B and C.