In the diagram, the measure of 1 is 55°. If line y is rotated 5° clockwise about the point of
intersection, what is the new measure of 3?

A. 60°
B. 130°
C. 120°
D. 50°

PLEASE LOOK AT THE PICTURE!!

In The Diagram, The Measure Of 1 Is 55. If Line Y Is Rotated 5 Clockwise About The Point Ofintersection,

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

Lines X and Y are intersecting at a point.

Two pairs of vertical angles have been formed at the point of intersection.

1). ∠1 and ∠3

2). ∠2 and ∠4

It's given that m(∠1) = m∠3 = 55° [Since pair of vertical angles are equal in measure]

If line Y is rotated 5° clockwise about the point of intersection of both the lines,

∠1 and ∠3 both will increase by 5°.

Therefore, measure of angles 1 and angle 3 will become (55° + 5° = 60°).

Option (1) will be the answer.

Answer 2

The new measure of angle 3 is 60 degrees

When a point or line is rotated, it must be rotated about a point of rotation

The angle measure is given as:

[tex]\angle 1 = 55^o[/tex]

By vertical angle theorem, we have:

[tex]\angle 3 = \angle 1[/tex]

So, the angle measure becomes

[tex]\angle 3 = 55^o[/tex]

The angle of rotation is given as: 5 degrees.

So, the new measure of angle 3 is:

[tex]\angle 3 = 55^o + 5^o[/tex]

[tex]\angle 3 = 60^o[/tex]

Hence, the new measure of angle 3 is 60 degrees

Read more about rotation at:

https://brainly.com/question/2283733


Related Questions

brainlest if right plz help

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Answer:

i think it is 10

Step-by-step explanation:

Show Your Work
Please help I’ll mark brainliest

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Answer:

(c)

Step-by-step explanation:

3+2+4 = 9,  4+2= 6- 3= 3

A line goes through the points (7, 3) and (-1, 5). Write the equation of the line in Point-Slope form. Show your work. Circle your answer.
20 pts and brainliest. please help me on this

Answers

Answer:

The equation of the line is 4y = -x + 19

Step-by-step explanation:

Firstly, we need to get the slope of the line;

Since it is through two points; we have the slope as;

y2-y1/x2-x1 = (5-3)/(-1-7) = 2/-8 = -1/4

Mathematically, we can write the equation of a straight line line as;

y = mx + c

So we have;

y = -1/4x + c

y = -x/4 + c

To complete the equation, we need the value of c.

we can choose any of the points and insert the x and y value

Thus;

3 = -7/4 + c

c = 3 + 7/4

c = 19/4

So our equation becomes;

y = -x/4 + 19/4

Multiply through by 4

4y = -x + 19

Answer:

y-3= -1/4 x (x-7)

Step-by-step explanation:

Find the slope of the line between  

( 7 , 3 )  (7,3)  and  ( − 1 , 5 )  (-1,5)  using  m = y 2 − y 1 x 2 − x 1

m=y2-y1x2-x1 , which is the change of  y/ y  over the change of  x/ x .

Hope this helps! Have a nice day!❤

TELL ME IF YOU AGREE IF NOT WHAT SHOULD I CHANGE??! THX

Answers

Answer:

for my opinion, i think yo should try, i agree.

Step-by-step explanation:

Answer:

It looks right to me

Step-by-step explanation:

Which set of algebra tiles represents the sentence below? Luis added four shells to his collection. 1 box contains x and 4 boxes contain minus signs. 4 boxes contain x and 1 box contains a plus sign. 1 box contains x and 4 boxes contain a plus sign. 4 boxes contain x and 1 box contains a minus sign.

Answers

Answer:

c

Step-by-step explanation:

Answer

C

Step-by-step explanation:

Can someone please help me it’s due today I appreciate the help !

Answers

Answer:

k =-2

Step-by-step explanation:

Using the slope formula

( y2-y1)/(x2-x1) = m

( k- -1)/( -10 - -8) = 1/2

( k+1)/ ( -10+8) = 1/2

( k+1) /-2 = 1/2

Multiply each side by -2

( k+1) /-2 * -2 = 1/2 * -2

k+1 = -1

Subtract 1 from each side

k+1-1 = -1-1

k = -2

Answer:

K= -5 because -10 divided by -5 which is K gives u 2

LCM of 16, 28, and 56

Answers

Answer:

2

Step-by-step explanation:

2x8=16, 2x14=28, and 2x28=56

Vicky is planning her wedding. The number of guests she wants to invite determines the
number of announcements she orders.
g = the number of guests
a = the number of announcements
Which of the variables is independent and which is dependent?

Answers

G is independent and a is dependent

What would the answers be for 2. And 3.?

Answers

Answer:

H and B

Step-by-step explanation:

For number 3 its B because pie = irrational

Answer:

For number 2 the answer is J.

For number 3 the answer is B.

Step-by-step explanation:

2. f(x)=2x+10

f(-8)=2(-8)+10

f(-8)=(-16)+10

f(-8)= -6

3. Pi is an irrational number so 32 with pi will also be irrational.

50°
25°
12x - 3
Find the x

Answers

Answer:

X=-36

Step-by-step explanation:

hope this helps you out

At the beginning of school you set-up a 4 digit pin to get into your My Payments Plus account, however you have not used your account since you set it up and forgot the number. You remember that the first number was a 4 and the second number was either a 6, 7, 8, or 9. You had no idea what the last two numbers were. How many different combinations are possible?

Answers

Answer:

Given that only the first digit and a range of four possible numbers for the second digit of the four digit pin number are remembered, the number of different possible combinations are 400 (possible combinations)

Step-by-step explanation:

The given information are;

The number of digits contained in the pin = 4 digits

The number of digits that can be the first number = 1 (given that the first digit is 4)

The number of digits that can be the second number = 4 (6, 7, 8, or 9)

Therefore, we have;

The number of digits that can be the third number = 10 (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9)

Similarly, the number of digits that can be the fourth number = 10

Therefore, the total number of possible combinations are;

1 × 4 × 10 × 10 = 400 possible combinations.

The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.

1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why

2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.​

Answers

9514 1404 393

Answer:

ft33.75 gal

Step-by-step explanation:

1. The conversion factor is given in gallons per cubic foot. So, to avoid more conversion factors than necessary, it is convenient to use feet as the unit of measure.

__

2. The dimensions are ...

  1 yd × 3 ft/yd = 3 ft . . . . length

  18 in × 1 ft/(12 in) = 1.5 ft . . . . height

So, the volume is ...

  V = LWH = (3 ft)(1 ft)(1.5 f) = 4.5 ft³

Then the number of gallons is ...

  (4.5 ft³)×(7.5 gal/ft³) = 33.75 gal

Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Find the cost of a tetra.

Answers

Answer:

Step-by-step explanation:

8 tetra and 2 rainbow

2*8=16

16+6=22

16+22=38

your answer is undefinable unless you want it in the hundredths

Answer:

its either 3.125 or 3.875

Step-by-step explanation:

sorry

Shantels net worth is 5,480.80 dollars.Her liabilities are 3,260.60.If she increases her assets by 10% and decreases her liabilities by 10%, what is her net work ​

Answers

Answer:

6681.00

Step-by-step explanation:

Given

Net worth = 5480.80Liabilities = 3260.60

Assets = Liabilities + Net worth

Assets = 5480.80 + 3260.60 = 8741.40

If assets increase by 10% and liabilities decrease by 10%, then net worth is:

(8741.40 + 10%) - (3260.60 - 10%) =8741.40*1.1 - 3260.60*0.9 =6681.00

can someone help me. this is geo. if you could help that would mean to me

Answers

Answer:

1.) x = 37

2.) m<SVW = 74 deg

3.) m<TWV = 106 deg

Step-by-step explanation:

Linea SY and TZ are shown to be parallel.

Angles SVW and TWV are same-side interior angles.

Theorem:

If parallel lines are cut by a transversal, then same-side interior angles are supplementary.

m<SVW + m<TWV = 180 (by the definition of supplementary angles)

2x + 3x - 5 = 180

5x - 5 = 180

5x = 185

x = 37

m<SVW = 2x = 2(37) = 74

m<TWV = 3x - 5 = 3(37) - 5 = 111 - 5 = 106

Answer:

1.) x = 37

2.) m<SVW = 74 deg

3.) m<TWV = 106 deg

Pls help I need this in 2 min!

Answers

Answer:

16

Step-by-step explanation:

on the number line it would be 9 and 7 on the same side because -7in () would be +7  and than you add it it would be 16

The volleyball team at Huntington Middle wants to order t-shirts with their team name and logo. They
are considering purchasing the shirts from either Crazy Tees or T-shirts R Us. Crazy Tees charges fifteen
dollars per shirt, while T-shirts R Us charges $10 per shirt and a one-time fee of fifty dollars. What is
the price of one T-shirt if the total for both companies were the same amount?

Answers

When the both have 10 t-shirts, they will be the same price of 150 dollars. Hope this helps.

I need help with this

Answers

Answer:

X=6

Step-by-step explanation:

Well it’s already a proportion so you cross multiply

2(x)=3(4)

2x=12

Solve for X

isolate the variable by dividing 2 on both sides

x=6

X=6


A:180
B:30
C:170
D:25

Answers

Answer:

The answer is B. Hope this helps!

Step-by-step explanation:

105 degrees is from a b to d and a b to c is 75 and 105 - 75 =30.

Answer:

30*

Step-by-step explanation:

If ABD is 105* then it would be <ABC+<CBD=105*. We know that <ABC is 75* so we can fill that in. 75*+<CBD=105*. Then we solve.

75* + <CBD = 105*

-75*                  -75*

<CBD=30*

So that's how I got it.

The asterisks are the degree signs.

hope this helps

brainliest?

What is an equation in point-slope form of the line that
passes through (-3, -1) and has a slope of 2

Answers

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1) [/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (-3, -1) and slope 2

The equation is

[tex]y + 1 = 2(x + 3) [/tex]

Hope this helps you

If the x-intercepts are (-5,0) and (3.0), then the x-coordinate of the vertex is
Then I also know the equation of the axis of symmetry is

Answers

If this is for a parabola, then the x-coordinate is -1, since it is directly in the middle of -5 and 3, with 4 spaces on each side (symmetry). The equation is just x = -1 since it just shows the equation of the vertical line which splits the parabola into two equal parts

Community Gym charges a $60 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?​

Answers

Answer:

4 Months, and the Total amount is 280

Step-by-step explanation:

60 + 55m = ?

200 + 45m = ?

60 + 55 = 115 + 55 = 170 + 55 = 225 + 55 = 280

200 + 45 = 245 + 45 = 290 + 45 = 235 + 45 = 280

           1                  2                 3                 4

I need help with homework

Answers

Answer:

okay

Step-by-step explanation:

lol sorry for this I just needed to answer one more question

HELP PLEASE THIS IS MY LAST QUESTION OF THIS TEST AND I LITERALLY DONT KNOW WHAT TO DOOO!

Answers

Answer:

Complementary!!!

Step-by-step explanation:

-3 * f(-8) + 7 * g(2)

Answers

Answer:

-2(-12-7 g)

Step-by-step explanation:

hope this helps :)

Determine from the given points of two lines if the lines are parallel, perpendicular, or neither. Enter your answers below. Use a forward slash (i.e. "/') for all fractions (e.g. 1/2 for 1/2 ). o Line a: (3,1) and (8,6) o Line b: (-6,1) and (2,9)​

Answers

Answer:

lines are parallel

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines is - 1

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)

m = [tex]\frac{6-1}{8-3}[/tex] = [tex]\frac{5}{5}[/tex] = 1 ← slope of line a

Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)

m = [tex]\frac{9-1}{2+6}[/tex] = [tex]\frac{8}{8}[/tex] = 1 ← slope of line b

Since both slopes are equal, line a and line b are parallel

A boy band has released two albums.

Answers

Soooooo.......

What happened next?

what is the question?

Simplify: 2x + 9 - 17x - 15 -x​

Answers

Answer:

1

Step-by-step explanation:

2x + 9 - 17x - 15 - x =????

2x - 17x - x + 9 - 15 = 0

- 15x - x - 16 = 0

- 16x - 16 =0

-16x = 16

x = 16 / - 16

x = 1

Jose bought 24 chicken wings for $38.40. What's the unit cost of one wing? (I would love to do this myself but, I'm really bad at math.)

Answers

The unit cost of one wing of chicken is: $38.40/24 = $1.6.

What is Unit Cost?

Unit cost can be defined as the cost of one unit of a quantity, that is, how much can by a unit measure of whatever is being sold.

To find the unit cost, divide the total cost over the number of unit items.

Cost of 24 chickens = $38.40

Unit cost = $38.40/24

Unit cost = $1.6.

Learn more about unit cost on:

https://brainly.com/question/12690231

#SPJ1

z- 2.12= 3.06 solve for z​

Answers

Answer: 5.18

Step-by-step explanation:

Z= 3.06+2.12=5.18

5.18 is the answer, hope this helps :)
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