angle1,2 , and angle3 form a straight line. If m angle3 is six more than twice m angle1 m angle2 is 27 less than m angle3 find m angle2

Answers

Answer 1

Since it's an angle on a straight line, the value of angle 2 is 23.25°

Angle 1 = m

Angle 2 = m - 27

Angle 3 = 2m + 6

It should be noted that the sum of angles in a straight line is equal to 180°, therefore we need to equate all the angles given to 180°. This will be:

m + (m - 27) + (2m + 6) = 180°

m + m - 27 + 2m + 6 = 180°

4m = 180° + 27° - 6°

4m = 201°

m = 201/4

m = 50.25°

Therefore, angle 2 will be:

m - 27 = 50.25 - 27 = 23.25°

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Related Questions

Find the unit rate. Round to the nearest hundredth, if necessary,
$2.99 for 15 lb
The unit rate is $
Иb.

Answers

Answer:

$0.20/lb

Step-by-step explanation:

2.99/15 = 199333

.20/lb

HELP PLEASEEEE ASAP !

Answers

Answer:

x = 57

Step-by-step explanation:

x and 57 are alternate interior angles and alternate interior angles are equal when the lines are parallel

x = 57

What is 97 divided by 80257

Answers

0.00120862! Hope this helps.

x/3+10=15 pls help me

Answers

the Answer is...:

X=195

Answer: X is 15

Step-by-step explanation:

Multiply both sides with 3

(x/3) + (10 x 3) = 15 x 3

x + 30 = 45

Add - 30 to both sides

x + 30 - 30 = 45 - 30

x = 15

Hope this helps!

Hello me please!!! I don't understand this question and it's due tonight!!!!

Зу + 4х = 12

Graph the equation using the x coordinates -2, -1, 0, 1, 2

Answers

Answer:

3y+4x=12

when x is -2

3y+ 4(-2)=12

3y-8=12

3y=20

y=20/3=6.67

when x is -1

3y-4=12

3y=16

y=16/3=5.33

when x is 0

3y-0=12

3y=12

y=4

when x is 1

3y+ 4 =12

3y =8

y=8/3=2.67

when x is 2

3y +8 =12

3y=4

y=4/3=1.33

Before Sarah does open her account, she sees her grandmother for the holidays. Grandma wants to contribute to Sarah’s ROTH and even matches her contribution, giving her an additional $500 to invest. Now that Sarah has an initial investment of $1000, how much would Sarah have at age 68 based on her predicted rate of return from historical data

Answers

Answer:

2,9457

Step-by-step explanation:

100+7% = 1.07

(1.07)^50 = 29.45702506

y = 1000(29.46)

y = 29,460

Can someone pls help me out

Answers

Answer:

option a. similar;AA similarity; triangle plm

answer po plss plss plss

Answers

Answer:

[tex]( 3) - ( 4) + ( 18) + (6) - (5)[/tex]

[tex] (3+18+6)+(-4-5)[/tex]

[tex]( 27) + (-9)[/tex]

[tex] 18[/tex]

Nyesha owns a lawn service company. Currently it takes her 50 hours a week to service all of her

customers. To reduce the number of hours a week she needs to work, Nyseha hires Shantese to

help her. While Nyesha was on vacation, Shantese was able to complete all of the work in 60 hours.

If Shantese and Nyesha work together, after Nyesha returns from facation, how long will it take

them to service all their customers?

Answers

Fractions are integers that have both a numerator and a denominator. They are represented as;  [tex]\frac{x}{y}[/tex]

Where:

x = Numerator

y = Denominator.

To solve the above question, we would be applying the operations of the addition of fractions.

It will take both of them  [tex]27\frac{3}{11}[/tex]  hours if they worked together.

From the question,

Nyesha takes 50 hours a week to render services to her customers.

Shantese takes 60 hours a week to do the same amount of work.

Let us represent the number of hours it will take them both to decorate the room working together as "T"

Hence,

1/T = 1/50 + 1/60

Lowest Common Denominator for (50, 60 ) = 300

Hence,

1/T = 6 + 5 / 300

1/T = 11/300

Find the reciprocal of both sides

T = 300/11 hours

T = [tex]27\frac{3}{11}[/tex] hours

Therefore, it will take them both of them [tex]27\frac{3}{11}[/tex] hours in they both work together.

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x is directly proportional to y. When y = 7, x = 28. Write and equation of x in terms of y. Find x when y = 15.

Answers

Answer:

60

Step-by-step explanation:

28 : 7 : : x : 15

28 / 7 = x / 15

4 = x / 15

x = 4 * 15

x = 60

x = ky— directly proportional

28 = 7k

4 = k

so x = 4y

plug in y and you get x = 4(15) = 60

Therefore, x = 60 when y = 15

Can someone help me do this

Answers

ML is 6 cm because it states both triangles are congruent

state the gradient and the y-axis intercept of
y=3x+7

Answers

Step-by-step explanation:

the slope (or gradient) of a line is the factor of x.

in our case here : 3

it is expressed as ratio y/x and represents the amount of units y changes (and via the sign in what direction), when x changes a certain amount of units (again, via the sign in what direction). like when going from a point 1 to a point 2.

so, here we have 3 = 3/1, and that means, when x changes by 1 unit to the right (positive), y changes 3 units up (positive).

the y-axis intercept is simply the point, where x = 0. clearly, any point with the x coordinate being unequal to 0 cannot be on the y axis.

so, here

y = 3×0 + 7 = 7

=>

the y-axis intercept point is (0, 7).

3/4+5/6 divided by 2/3 in simplest form show work, please!
Thanks!

Answers

Answer:

2 [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 [tex]\frac{3}{8}[/tex]

Hope this helps :)

BRAINLIST!!! SHOW WORK!!!!!

Lines AB and CD are perpendicular to each other. If 3 measures (5x + 2)°, and 4 measures 13°, what is the value of x?
A.
x = 15
B.
x = 77
C.
x = 2
D.
x = 21

Answers

Answer:

A is the correct option.

Step-by-step explanation:

Since both lines are perpendicular to each other, that means the sum of their angles is equal to 90°.

Then,

(5x + 2) ° + 13° = 90°

5x + 15° = 90°

5x = 75°

x = 15°

this question is bothering me help

Answers

Answer:

the First, third, and fifth

Step-by-step explanation:

Since one half of 12 is 6, then those three expressions will be the same since they have the same answer

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

i need answer for this problem​

Answers

Answer:

(Reflect across the line y = x then reflect across the y axis then translate 2 units in left and 5 units

down) that's the answer

Step-by-step explanation:

Hope it helps

What is 1/10=4/5y ?????

Answers

Answer:

y = 1/8

Step-by-step explanation:

Divide both sides by 4/5, 1/10 divided by 4/5; 4/5y divided by 4/5. In 4/5y divided by 4/5, the two 4/5s cancels out, leaving y alone. 1/10 divided by 4/5 equals to 1/8. Now you have, 1/8 = y, which is the same thing as y = 1/8. Therefore, the value of y is 1/8.

Answer: 1/8

Step-by-step explanation:

4/5y=1/10

*multiply both sides by 5, and you'll get

4y=1/2

*divide both sides by 4

y=1/8

please check the picture!!

find the indefinite integral of:

Answers

Answer:

x = 23

Step-by-step explanation:

[tex]\sf 500+60+70[/tex]

Answers

............... that just 630

Can someone help me out???
How could you use the hexagon you constructed to create a 12-sided figure?

Answers

Answer:

to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.

Step-by-step explanation:

Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.

Answers

Answer:

10% = 0.1 x 400 = 40

400 - 40 = 360$

Determine the slope of the line given two points (-3 -1) and (5,-5

Answers

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-1) / 5 - (-3)

-4/8

= -1/2

Enter an equation in point-slope form for the line.
Slope is -4 and (1,9) is on the line.
The equation of the line in point slope form is:

Answers

Answer:  (y-9) = -4(x-1)

Step-by-step explanation: The format of a point-slope line is y − y1 = m(x − x1), where x1 and y1 are a known point on a line with slope m.  Given slope of -4 and a point of (1,9):

(y − y1) = m(x − x1)

(y − 9) = -4(x − 1)

This can be rearranged to the standard form:  y = -4x+13

(3x + 2) to the power of 2(i didnt know how to put that on keybored)

Answers

[tex](3x)^{2} +2*3x*2+2^{2} \\3^{2} x^{2} +2*3x*2*2^{2} \\9x^{2} +2*3x*2+2^{2} \\9x^{2} +2*3x*2+4\\9x^{2} x^{2} +12x+4[/tex]

Which benchmark fraction is 6/7 closest to PLZ HELP

Answers

Closer to 1 because it’s nearly a 7/7 which is also known as 1.

Write and solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
MInimum Balance-$100.00
Current Balance-$320.00

Answers

Answer:

100.00-20=80

320.00-20=300

Step-by-step explanation:

what is the ratio of 0.75 decimal​

Answers

The ratio is 3:4, think of it like a fraction .75 as a fraction is 3/4

Divide
-3 1/3 divide 9

Quick

Answers

Answer:

-0.37 repeating

Step-by-step explanation:

PLS mark Brainliest

find the value of x PLEASE HELP i’m so lost

Answers

x = -5 + 5√3

Step-by-step explanation:

A = ℓ × w

50 = (x + 10) × x

50 = x² + 10x

x² + 10x - 50 = 0

a = 1b = 10c = -50

x = [-b ± √(b² - 4ac)] / 2a

x = [-10 ± √(10² - 4(1)(-50))] / 2(1)

x = [-10 ± √(100 - (-200))]/2

x = [-10 ± √300]/2

x = [-10 ± 10√3]/2

x = [-5 ± 5√3]

because x is a unit of length, it is positive

x = -5 + 5√3

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