In ΔUVW, \overline{UW} UW is extended through point W to point X, \text{m}\angle UVW = (3x+16)^{\circ}m∠UVW=(3x+16) , \text{m}\angle WUV = (2x+8)^{\circ}m∠WUV=(2x+8) and \text{m}\angle VWX = (8x-18)^{\circ}m∠VWX=(8x−18) Find \text{m}\angle WUV.m∠WUV.

Answers

Answer 1

Applying the exterior angle of a triangle theorem, m<WUV = 36°

What is the Exterior Angle of a Triangle Theorem?

The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.

Applying the exterior angle of a triangle theorem:

m<WUV + m<UVW = m<VWX

Substitute

2x + 8 + 3x + 16 = 8x - 18

Add like terms

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

-3x/-3 = -42/-3

x = 14

m<WUV = 2x + 8

Plug in the value of x

m<WUV = 2(14) + 8

m<WUV = 28 + 8

m<WUV = 36°

Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°

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In UVW, \overline{UW} UW Is Extended Through Point W To Point X, \text{m}\angle UVW = (3x+16)^{\circ}mUVW=(3x+16)

Related Questions

$600 a month on groceries, if this is 15% of the monthly budget, what is the monthly budget

Answers

4,000 if you set it up as unit rate with .15 on btm

Answer:

$4,000

Step-by-step explanation:

.15x = $600

.15x = $600.  divide both sides by .15

.15.       .15

x = $4,000

father bought 2kg 200g of potatoes and 1kg 500g of tomatoes.find the total weight of vegetables he bought​

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Answer:

3kg 700g

hope it helps:-) :-)

what does 100+100 equal

Answers

Answer:

100+100=200 it's an mathmatecial answer

5
Select the correct answer.
Tom gets $12 off a box of chocolates that had an original price of $48. What percentage is the discount?
OA.
12%
OB.
25%
Ос.
50%
OD
60%
Reset
Next

Answers

Answer:

B

Step-by-step explanation:

12 is 1/4 of 48 so when you take $12 off $48 you take 1/4 of 25% away

AA similarity theorem ASA similarity theorem AAS similarity theorem SAS similarity theorem

Answers

What is the question?

Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans
in 30 seconds. Max eats 24 jellybeans in 40 seconds.

Answers

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

Answers

Answer:

A)  x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0

B) radius = 5

center  = (4,-1,-3)

Step-by-step explanation:

[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]

A ) Determine the curve in which the sphere intersects the yz-plane

determine the radius ( r ) =  √((6-(-1))2+(-2-2)2+(3-1)2) = √69

next the equation of the sphere ( curve in which the sphere intersects the yz-plane )

x^2+2x+y^2-4y+z^2-2z-63 = 0

B) determine the center and radius of the sphere

X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0

(x-4)2+(y+1)2+(z+3)2 = 25 = 52

radius = 5

center  = (4,-1,-3)

A glass is
1
6
full. Then 95cm3 of orange juice is poured in.
The glass is now
4
5
full. What is the total volume of the glass?

Answers

Answer:

let x = the amount of orange juice in a full glass.

the glass is 1/6 full = 1/6 * x

add 95 cubic centimeters and the glass becomes 4/5 full.

equation for that is:

1/6 * x + 95 = 4/5 * x

subtract 1/6 * x from both sides of this equation to get:

95 = 4/5 * x - 1/6 * x

multiply 4/5 * 6/6 and multiply 1/6 * 5/5 and the equation becomes:

95 = 24/30 * x - 5/30 * x

combine like terms to get 95 = 19/30 * x

multiply both sides of the equation by 30/19 to get:

30/19 * 95 = 30/19 * 19/30 * x

simplify to get:

30/19 * 95 = x

solve for x to get x = 150.

the volume of the glass is 150 cubic centimeters.

1/6 * 150 = 25

4/5 * 150 = 120

the difference between 4/5 full and 1/6 full is 95 cubic centimeters.

solution is that the volume of the glass is 150 cubic centimeters.

Step-by-step explanation:

Question in the picture

Answers

I will find x, so 4x-4=180, so 4x=184, so x=46

Sorry if i answered wrong I don't understand what it is asking for.

The width of a rectangle is 3 cm less than twice its length. If the perimeter of the
rectangle is 18 cm, find its dimensions.

Answers

Answer:

length=4

Width=2×4-3=5

Step-by-step explanation:

Let length =X

Width =2x-3

Perimeter=18

2(length+width)=18

2(X+2x-3)=18

3x-3=9

3x=12

X=12/3

X=4

So length=4

Width=2×4-3=5

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]

[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]

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Question :

The width of a rectangle is 3 cm less than twice its length. If the perimeter of the rectangle is 18 cm, find its dimensions.

Step - by - step explanation :

✒ First, Let length of a rectangle be ' L '.

✑ Given :

Width of a rectangle = 3 cm less than twice its length ( i.e W = 2L - 3 )Perimeter of a rectangle ( P ) = 18 cm

Finding value of length of a rectangle :

[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]

Plug the values and solve for L

➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]

➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )

➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )

➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }

➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )

➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }

➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }

➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]

☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]

➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }

➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }

➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]

Hence ,

Length of a rectangle ( L ) = 4 cmWidth of a rectangle ( W ) = 5 cm

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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(5)Mean of given data 2,3,4 will be​

Answers

Answer: 3
Explanation:

Answer:

3

Step-by-step explanation:

Add the numbers and then divide by 3 (the number of numbers there are)

pls help Select the correct answer.
If and , which description represents the graph of function g?

Answers

YOu got the right answer!! good job for you! keep up the good work! plz mark me the brainliest PLZZ!!!!!

Answer:

hey you got it

Step-by-step explanation:

its b

True or false: only fractions with a denominator greater then the numerator can be converted to a decimal

Answers

Answer:

FALSE

Explanation:

any fraction can be converted to a decimal

Answer:

false

Step-by-step explanation:

Options
- positive
- negative
- 0
-undefined

Answers

The slope of the line is 0 since in the graph, the y intercept stays at a certain point throughout

Identify the domain of the function.
10
Identify the range of the function.

Answers

Answer:

domain= all real numbers

Range= y>=0

Step-by-step explanation:

What is the image of -1,-4 after a reflection over the x axis

Answers

answer: the image is (-1,4)

The image of the point after the reflection over x axis is P' ( -1 , 4 )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the point be represented as P

Now , the coordinates of the point P is P ( -1 , -4 )

The point P is reflected over the line x axis ,

So , when you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse.

Substituting the values in the equation , we get

The image of the reflected point is P' ( -1 , - ( -4 ) )

The image of the reflected point is P' ( -1 , 4 )

Hence , the reflected point is P' ( -1 , 4 )

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if you have a slope of 1/2 that means you should

Answers

This question needs more detail.

Please help me I need to get this right

Answers

Answer:

try the second one on top

Step-by-step explanation:

Find the slope of the line through the
given points: (2,6) & (5, 6)

Answers

Answer:

Zero Slope

Step-by-step explanation:

rise over run or y2 - y1 / x2 - x1

6-6/5-2 = 0/3

A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,

Answers

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30

Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four months, 200; September, 100. If she gets paid $10.50 an hour, what was her gross pay for the season?

Answers

Answer:

$11,025

Step-by-step explanation:

April: 150hrs

May-August: 200hrs x 4 = 800 hrs

September: 100 hrs

$10.50/hr pay rate

150+800+100 = $1,050

$1,050 x $10.50 = $11,025

*Gross pay is the amount of money made before tax

What is the approximate value of x? Round to the nearest tenth

Answers

Answer:

10

Step-by-step explanation:

PLZ HURRY IT'S URGENT!!!!
Represent the situation as a system of equations.

Rent a Truck rents a moving truck for $40.00 and $0.20 per mile.
Moving R Us rents the same moving truck for $1.00 per mile but with no upfront charge.

Let x represent the number of miles traveled.

Question 5 options:

y=40x+0.20 y=x+1

y=0.20x+40 y=x+1

y=40x+0.20 y=1.00x

y=0.20x+40 y=1.00x

Answers

Answer:

y=0.20x+40; y=1.00x

Step-by-step explanation:

Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.

What is the hexadecimal equivalent of the decimal number 241?

Answers

Answer:

241 = f1

    10   16

Step-by-step explanation:

241 Decimal To Hexadecimal Conversion:

step 1 Perform the successive MOD 16 for the given decimal number 241 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).

241 / 16 = 15   : Remainder is 1 → LSB

15 / 16 = 0   : Remainder is 15 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent hex number

f1

241 = f1

    10   16

Decimal

241

Hex

F1

Binary

11110001

can't rely see it lol ​

Answers

Answer:

x = 60

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

we know that triangles have 180 degrees so we can set up an equation:

86 + 34 + x = 180

now we subtract the sum of 86 and 34 from both sides to get a final answer:

x = 60

so lets plug our x value into the previous equation to check our answer:

86 + 34 + 60 = 180

when we add these numbers together, the equation checks out so we know our answer is correct.

hope this helps!

3а - 10 = a + 20




How do you do this help please it will mean a lot

Answers

Answer:

a=15

Step-by-step explanation:

2a-10=20

2a=30

a=15

can i have one brainliest plz

Answer:

a = 15

Step-by-step explanation:

I assumed you were trying to solve for A :)

3a - 10 = a + 20

1. Combine like terms (A's on side, numbers on the other).

3a - 10 = a + 20

-a           -a

-----------------------

2a - 10 = 20

     +10   +10

------------------------

2a = 30

Now that all of your like terms are combined, work to isolate A. The only way to do this is to divide by 2 on both sides of the equal sign.

[tex]\frac{2a}{2} = \frac{30}{2}[/tex]

This leaves you with a = 15, which is your answer if you are told to solve for A

I hope this helps!

An ant is walking at a speed of 42 centimeters in 5 minutes. what rate did the ant walk

Answers

divide 42 cm. by 5 minutes, which leaves you with 8.4 cm/minute. hope this helps, please mark brainliest and have a great day

which of the following is the graph of y=g(x-4)-2

Answers

Answer:

need pictures of the graphs

Step-by-step explanation:

basically, you'll be looking for a graph that has shifted to the RIGHT 4 units and down 2 units

What is 19 less than a variable n

Answers

n - 19 would be your answer. Have a nice day/night!!!

Answer:

-19+n

OR

n-19

Step-by-step explanation:

From 15 degrees to 21 degrees

Answers

what do you mean i need more info
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