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

The density of a certain material is such that it weighs 2 pounds for every 9.5 quarts of volume. Express this density in ounces per pint. Round your answer to the nearest hundredth.

Answers

Answer:

1.68 ounces per pint

Step-by-step explanation:

Jadah bikes 45 miles in 3 hours. At this rate, how far does she go in 8 hours?

Answers

Answer:

120 miles

Step-by-step explanation:

45 divided by 3 equals to 15 and 15 times 8 equals 120.

45 / 3 = 15

15 x 8 = 120

a rectangle is 25 feet long its area 375 square feet.
What is the perimeter of the rectangle

Answers

Area = length x width.

Divide the area by the length of find the width.

Width = 375/25 = 15 feet.

The perimeter is the sum

Of the 4 sides.

Perimeter = 25 + 25 + 15 + 15 = 80 feet.

The perimeter of a rectangle is 80 feet.

Given that, the length of a rectangle=25 feet and area of the rectangle=375 square feet.

We need to find the perimeter of a rectangle.

What is the formula to find the perimeter of a rectangle?

The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).

We know that, the area of a rectangle=length×width

Now, the area of a rectangle=25×width

⇒375=25×width

⇒Width=15 feet

So, perimeter = 2(25+15).

=80 feet

Therefore, the perimeter of a rectangle is 80 feet.

To learn more about the perimeter of a rectangle visit:

https://brainly.com/question/15287805.

#SPJ2

It normally takes Julius 2 hours to mow the yard, but because he is in a hurry he asks his son, Marcos, to help him. If just his son was doing the yard work it would take him 3 hours. How long will it take if both are working together? Use the formula 1/T_1 +1/T_2 =1/T_both where T_1 is the time required for Julius to complete the job alone, T_2 is the time required for Marcos to complete the job alone, and T_both is the time required to complete the job when they both work together. Answer as a decimal, rounded to one decimal place.

Answers

Answer: 1.2 hours

Step-by-step explanation:

Given: : Time taken by Julius to complete the job alone: [tex]T_1=2\text{ hours}[/tex]

Time taken by Marcos to complete the job alone : [tex]T_2=3\text{ hours}[/tex]

Let the time taken by both to complete the job together = T

[tex]\dfrac{1}{T}=\dfrac{1}{T_1}+\dfrac{1}{T_2}[/tex]

[tex]\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{2}+\dfrac13\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{3+2}{2\times3}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{5}{6}\\\\\Rightarrow\ T=\dfrac{6}{5}=1.2[/tex]

Hence, it will take 1.2 hours to complete the job by working together.

What is the slope? The y-intercept? Write the y-intercept as a coordinate.

Answers

Answer:

The y intercept is (0,-3) The slope is 7/1 i think  

which one is it??.......

Answers

Answer:

what?

Step-by-step explanation:

3 wait no 2 yeah wait s#!t it's 5 ahh actually I'm not to sure sorry

Have a nice day

A rectangle in Quaderant 1 is transformed to produce a congruent rectangle in Quaderent 2. Which could describe the transformation.

Answers

Answer:

A translation

Step-by-step explanation:

The rectangle doesn't change, it just scoots over.

Can someone help me out with this problem

Answers

Answer:

x = 117°

Step-by-step explanation:

Vertically opposite angles are equal

One of the triangle's properties is that the exterior angle is the sum of the opposite angles (interior angles)

Find the least number which when divided by 8,9 and 12 leave remainder 4 in each case

Answers

Answer:

76

Step-by-step explanation:

you need to find the smallest number you can divide by 8,9,12 (72) + 4

72 + 4 = 76

Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?

Answers

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

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What is the graph for y=3(x-1)^2

Answers

Root -( 1,0)
Minimum - (1,0)
Vertical intercept-(0,3)
It should look like a U
it’s a narrow parabola, with the vertex at (0,0). desmos is really helpful :)

What is the value of x in the proportion below?

57=x21

Answers

Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation:

Zach wants to make a profit of more than 300 for painting 4 identical too rooms. The profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is 32.50 for each room. Which inequality and solution represent the dollar amount n, that zack must be paid for each room, if he is to make a profit more than 300

Answers

Given :

Zach wants to make a profit of more than 300 for painting 4 identical too rooms.

The cost of supplies is 32.50 for each room.

To Find :

Which inequality and solution represent the dollar amount n, that zack must be paid for each room, if he is to make a profit more than $300.

Solution :

Profit is given by :

Profit = S.P - C.P

Now, it is given that profit > 300 .

Profit = S.P - C.P > 300

[tex]4n - 4\times 32.5 > 300\\\\n - 32.5 > 75\\\\n > \$107.5[/tex]

Hence, this is the required solution.

What is the angle relationships

Answers

They are same side interior!! Not alternate, they’d be on opposite sides of the line

Can someone help me wit da question listed in da picture?

Answers

Answer:

Option C)

Step-by-step explanation:

When Solving these equations rember PEMDAS

Parentheses Exponits MultiplyDivideAddSubtract

Hope this helps, PEMDAS is just an easy way to show what to do first, second, Ect.

Please Rate Brainiest!

-Aslina

need help question is on question

Answers

Answer:

y = 7x + 2

Step-by-step explanation:

Here's attachment on what the table looks like and the slope intercept equation.

High Hopes ^^

Barry-

Answer:

y = 7x + 2

Step-by-step explanation:

makes sense i double check the others person.

Solve the formula for the area of a parallelogram the height,
h.
A = bxh
h= _(use the / symbol to show division)

Answers

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

What is the value of x in the equation? 7x+3=4x-9

Answers

Answer:

X=-4

Step-by-step explanation:

the answer is x = -4

bird that was perched atop a 15 ½ foot tree dives down six feet to a branch below. How far above the ground is the bird’s new location

Answers

Answer:

ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird

Step-by-step explanation:

3) The height of an object that is thrown straight up from a height of 6 feet

above ground is given by h(t) = -15t2 + 25t + 6, where t is the time in

seconds after the object is thrown. Find the average rate of the object from

1 to 4 seconds.

Answers

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

1. Canada's population is currently increasing at a rate of 1.4% per year. If our current population is 37 590 000, what will our population be next year?

2. A bag of potato chips costs about $0.50 to make. If they are sold for 336% of the wholesale price, what do they cost in stores?

3.In a bicycle store, a $500 bicycle is marked, "Get a 36% discount." What is the sale price of the bicycle?

Answers

Answer:

1. 37590000x0.986=37034160

2. 0.5x3.36=1.68

3. 500x0.64=320

Marty makes 3 plates of cookies. There are 12 cookies on each plate. Marty eats 4 of the cookies.which shows how many cookies are left

Answers

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped.

Step-by-step explanation:

The graph is posted now.

Answers

Answer:

where is the graph itself?

Answer:

  see below

Step-by-step explanation:

Pre-image: A(3, 8), B(3, 3), C(7, 3)

Reflection in the x-axis changes the y-coordinate sign:

  A'(3, -8), B'(3, -3), C'(7, -3)

Reflection in the y-axis changes the x-coordinate sign:

  A''(-3, -8), B''(-3, -3), C''(-7, -3)

__

Comment

We have assumed that the first image is reflected again to get the second image. If the second image is supposed to be a reflection of the pre-image, then only the sign of x will change from the pre-image coordinates.

There are no "rotated" images; only reflected ones. (Though, after the second reflection, the image could be considered to be a 180° rotation of the pre-image.)

Find the quotient: 8 ÷ 0.5

You can find the quotient by asking how many
are in 8.
Think of the problem as
items, each divided into 2 equal pieces.
The quotient is
.

Answers

The quotient is 16. Because 16 0.5s go into 8

Answer:

The answer is...........1:Halves 2:8 3:16

Find the sum
-13.6 + (-14.4)

Answers

Answer:

-28

Step-by-step explanation:

Answer:

→The sum of -13.6 + (-14.4) is -28.

angelo wants to buy a laptop and an android phone to be used in his online class. He paid a total of Php 24, 200.00 for both gadgets. The price of the laptop is Php 3, 800.00 more than the price of the android phone.

Answers

Answer:

laptop: 14000

phone: 10200

Step-by-step explanation:

laptop: x + 3800

phone: x

x + 3800 + x = 24200

2x + 3800 = 24200

2x = 20400

x = 10200

laptop: 10200 + 3800 = 14000

phone: 10200

simplify and expand (X+3)(x-3)(3x+3)

Answers

Answer:

3x^3 + 3x^2 - 27x - 27

Step-by-step explanation:

Answer:    3x^3 + 3x^2 - 27x - 27

===============================================

Work Shown:

(x+3)(x-3)(3x+3)

(x^2-9)(3x+3) .... difference of squares rule

y(3x+3) .... let y = x^2-9

y*3x + y*3 .... distribute

3x( y ) + 3( y )

3x( x^2 - 9 ) + 3(x^2 - 9) .... plug in y = x^2-9

3x*x^2 + 3x*(-9) + 3*x^2 + 3*(-9) .... distribute

3x^3 - 27x + 3x^2 - 27

3x^3 + 3x^2 - 27x - 27

Can someone please help me asapp I’ll mark brainlist!!!

Answers

Answer:

A

Step-by-step explanation:

I just answered the same exact question but here’s the explanation again.

12,564 total a year

and 12 months in a year.

we’re trying to find monthly

so 12,564/12=1047

1047 per month and month is m

1047m

c is total

Equation is 1047m=c

Answer:

a

Step-by-step explanation:

1047 x m = c

1047(12 months) = total cost 12,564

help me plz i need help

Answers

Answer:

91677.9415 milliliters

Step-by-step explanation:

Show work please 100 points plus brainliest

Answers

Answer:

You have to replace x with 5

Step-by-step explanation:

-5^4+3(5)^3+11(5)^2+5(5)-9

41 <= answer

Answer:

Replace x with 5

Step-by-step explanation:

-5^4+3(5)^3+11(5)^2+5(5)-9

41 <= answer

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