If m<3 is five times the measure of its supplement (<4), then determine the measure of each angle.

Answers

Answer 1
Let x = m∠3
Let y = m∠4

Because y is the supplement of x, therefore
x + y = 180°             (1)

Because x is five times y, therefore
x = 5y                      (2)

Substitute (2) into (1).
5y + y = 180
6y = 180
y = 30°

From (2), obtain
x = 5*y = 5*30 = 150°

Answer:
m∠3 = 150°
m∠4 = 30°

Related Questions

If there are 365 days in a non-leap year, what number is christmas day?

Answers

Hello There!

On normal years it is on day 358.
On leap years it is on day 359.
Leap years have one extra day as February 29th.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

The _____ ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.

Answers

The scale ratio is the ratio of the length of one side of a polygon with the length of a corresponding side of a similar polygon.

The ratio you're referring to is called the scale factor. The scale factor is the ratio of the length of one side of a polygon to the length of the corresponding side of a similar polygon. Let's denote this scale factor as ( k ).

To calculate the scale factor, you need to choose corresponding sides from the two similar polygons. Once you've chosen a pair of corresponding sides, divide the length of one side by the length of the corresponding side from the other polygon.

Let's say we have two similar polygons, Polygon A and Polygon B, and we want to find the scale factor between them. Let's denote the length of a side of Polygon A as [tex]\( L_A \)[/tex] and the length of the corresponding side of Polygon B as [tex]\( L_B \)[/tex]. Then, the scale factor, ( k ), is given by:

[tex]\[ k = \frac{L_A}{L_B} \][/tex]

This ratio will give you the scale factor between the two polygons.

There are 5,280 feet in 1 mile. If Riley ran 26,400 feet, how many miles did she run? [Type your answer as a number.]

Answers

Answer:

She ran 5 miles

Step-by-step explanation:

To solve this, we can easily use proportion.

The question state that there are 5,280 feet in a mile, We are ask to find the number of miles Rily run, if she ran 26,400 feet.

Using proportion;

Let x = the number of miles Rily  can run

5,280 feet     = 1 mile

26,400 feet    = x

Cross-multiply

5280x = 26,400

To get the value of x, we will divide both-side of the equation by 5280

5280x/5280 = 26400/5280

(On the left-hand side of the equation, 5280 will cancel-out 5280 leaving us with x and on the right-hand side of the equation 26400 will divide 5280)

x = 26400 / 5280

x=5 mile

Therefore, If Rily ran 26400 feet, then she has ran 5 miles.

find x and y
x+y=5
x=y+7

Answers

1st equation: x +y =5

 2nd equation: x = y +7

replace x in 1st with 2nd

y +7 +y =5

2y+7 =5

2y =-2

y = -1

now replace y in 2nd with -1

x = -1 +7

x = 6

answer:

x = 6

y = -1

How do I solve for x within a triangle?

Answers

Since there are 180 degrees in a triangle and a right angle (signified with the diamond at the top) is 90 degrees, the remaining angles are 180-90=90 degrees. Therefore, 2x+1+5x+5=90=7x+6. Subtracting 6 from both sides, we get 7x=84. Next, we divide both sides by 7 to get x=12

How many watches must he repair to have the lowest cost?

Answers

Hahah shut up hsiaiwjnsjrbwk

ruby is visiting San Francisco. From her hotel she walks 1 block west ans 4 blocks south to a coffee shop. Then she walks 5 blocks east and 6 blocks south to a museum. Where is the museum in relation to her hotel

Answers

The museum is 4 blocks east and 10 blocks south

Answer:

The museum is 4 blocks east and 10 blocks south from her hotel.

Step-by-step explanation:

It is given that ruby is visiting San Francisco. From her hotel she walks:

(a) 1 block west and 4 blocks south to a coffee shop.

(b) Then she walks 5 blocks east and 6 blocks south to a museum.

First she moves 1 block west and 4 blocks south and reached at point B. After that she walks 5 blocks east and 6 blocks south and reached at point D.

From the below figure it is noticed that point D is 4 blocks east and 10 blocks south from the origin because

[tex]South=4+6=10[/tex]

[tex]East=5-1=4[/tex]

Therefore the museum is 4 blocks east and 10 blocks south from her hotel.

solve for the variable r in this equation.

[tex] s=2 \pi rh[/tex]

Please and thanks! Also, it would help if you explained how you got your answer! (: ^-^

Answers

divide both sides by [tex]2 \pi h[/tex] which will make the equation
[tex]\frac{s}{2 \pi h} = \frac{2 \pi rh}{2 \pi h} [/tex]
simplifying
[tex]r= \frac{s}{2 \pi h} [/tex]

The graph of g(x) ​​is the graph of f(x)=12x+6 compressed vertically by a factor of ​ 13 ​ .

Which equation describes the function g?



​ g(x)=12x+2 ​

​ g(x)=4x+6 ​

g(x)=4x+2

​ g(x)=36x+6 ​

Answers

The Answer Would Be The Third One

A person has two times as many nickels as quarters. if the total face value of these coins is $4.55, how many of each type of coin does this person have?

Answers

Let
He has = x quarters
He has = 2x nickels 

Total Amount = $3.50 or 3.50*100 = 350 cents 

x*25+2x*5=350
25x+10x=350
35x=350

35x/35=350/35
x=10 

He has = x = 10 quarters 
He has = 2x = 2*10 = 20 nickels 

Check
====== 
10*25 + 5*20 = 350
250+100=350
350=350

There is a step missing from the solution below. Which equation is the missing step?
P=17-√0.025x+7
25=17-√0.025x+7
8=-√0.025x+7
?
57=0.025x
2280= x

A. 64=0.025x+49
B. 8=0.025x+7
C. -8= √0.025x+7
D. 64=0.025x+7

Answers

Answer:

option: D is the correct answer.

( D. 64=0.025 x+7 )

Step-by-step explanation:

We are given step as:

[tex]P=17-\sqrt{0.025x+7}\\\\25=17-\sqrt{0.025x+7}\\\\8=-\sqrt{0.025x+7}------(1)[/tex]

?

57=0.025x

-----------(2)

2280= x.

We are asked to find the missing step.

Clearly after equation (1)

They have squared the equation both side to obtain:

[tex]64=0.025x+7[/tex]

and then they took the constant term to the left hand side to obtain equation (2).

[tex]64-7=0.025x\\\\57=0.025x[/tex]

Hence, the correct option is:

Option: D

D. 64=0.025 x+7

Answer: 64=0.025x+7

Step-by-step explanation:

a p e x

The volume of wax used in making a cylindrical candle is given by the formula v=nr2h what is the height of the candle in terms of the volume and radius?

Answers

Re-ordering the equation:

height = volume / pi * r^2

My number is a multiple of 2 & 7 my number is less than 100 but greater than 50 my number is the product of three prime numbers what number am i?

Answers

12345678910
ihtrguhbvr;wmytpb jq
omuyi bnkq4ht6kljihtlr'iwhvncnh ug5

Find measure of angle d A. 122 degrees B. 61 degrees C. 238 degrees D. Not enough information

Answers

It is B. 61 degrees, you can estimate.

Answer:

B. [tex]61^{\circ}[/tex]

Step-by-step explanation:

We have been given an image of a quadrilateral. We are asked to find the measure of angle D.

We can see that angle A and angle D are equal, so we can represent measure of both angles as [tex]2D[/tex].

We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:

[tex]2D+98^{\circ}+140^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}=360^{\circ}[/tex]

[tex]2D+238^{\circ}-238^{\circ}=360^{\circ}-238^{\circ}[/tex]

[tex]2D=122^{\circ}[/tex]

[tex]\frac{2D}{2}=\frac{122^{\circ}}{2}[/tex]

[tex]D=61^{\circ}[/tex]

Therefore, the measure of angle D is 61 degrees and option B is the correct choice.

What is the least common multiple of 50, 60, and 72?

Answers

Sorry I mean 1800. You basically have to multiply, to see which ones share the same ones

The sum of twice a number and four is fourteen. find the number.

Answers

2x +4 =14

2x =10

x =5

 the number is 5

180 is 10 % more than witch number ?

Answers

It is 10 percent more then 198.

Find the value of m angle 3-m<1

Answers

Answer:

The value of [tex]m\angle 3-m\angle 1[/tex] = [tex]50^{\circ}[/tex]

Step-by-step explanation:

Vertical Angle theorem: It is about the angles that are opposite to each other.

Also, vertical angle are congruent that means vertical angles are equal.

In the given figure; [tex]m\angle 3[/tex] and [tex]70^{\circ}[/tex] are vertical angle

then, by vertical angle theorem,  [tex]m\angle3 =70^{\circ}[/tex].

Supplementary angle: the sum of the angles whose measure on the straight line is 180 degree.

From the figure, [tex]70^{\circ}[/tex] , [tex]\angle 1[/tex] and [tex]m\angle 2 =90^{\circ}[/tex] forms a straight line.

then, by the definition of Supplementary angle;

[tex]70^{\circ}+m\angle 1 +m\angle 2=180^{\circ}[/tex]

Substituting the value of  [tex]m\angle 2 =90^{\circ}[/tex] in above equation:

[tex]70^{\circ}+m\angle 1 + 90^{\circ} =180^{\circ}[/tex] or

[tex]160^{\circ}+m\angle 1=180^{\circ}[/tex]

Simplify:

[tex]m\angle 1=180^{\circ}-160^{\circ} =20^{\circ}[/tex]

therefore,  [tex]m\angle 1= 20^{\circ}[/tex] and [tex]m\angle 3=70^{\circ}[/tex],

the value of [tex]m\angle3-m\angle1= 70^{\circ}-20^{\circ} =50^{\circ}[/tex].






What is the equation for a circle centered at the origin

Answers

A circle can be defined as the locus of all points that satisfy the equation
x2 + y2 = r2
where x,y are the coordinates of each point and r is the radius of the circle.

Hope this helps you.

Answer: The equation of the circle is [tex]x^2+y^2=r^2.[/tex]

Step-by-step explanation: We are given to write the equation of a circle centered at the origin.

We know that the standard equation of a circle with center at the point (g, h) and radius 'r' units is given by

[tex](x-g)^2+(y-h)^2=r^2~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The co-ordinates of the origin are (0, 0).

So, if the center of the circle is at the origin, then we have  

(g, h) = (0, 0).

Therefore, from equation (i), we have

[tex](x-0)^2+(y-0)^2=r^2\\\\\Rightarrow x^2+y^2=r^2.[/tex]

Thus, the required equation of the circle is [tex]x^2+y^2=r^2.[/tex]

the equation 5x+4y=20 represents a linear function in two variables. Identify the slope, x-intercept and y-intercept of this linear function

Answers

Here are the steps
put it into y=mx+b 4y=-5x+20
to isolate y divide both sides by  y=-5/4+5
to find the xi 
xi is when y=0 so plug it in to the equation 4y=-5x+20 4(0)=-5x+20
0=-5x+20 subtract 20 from each side -20=-5x the negatives cancel out 20=5x
to isolate x divide each side by 5 x=20/5
20/5=4
Answers:
m=-5/4 
yi=5
xi=4








Assembly Line A produces 45 units in the same time that it takes Assembly Line B to produce 37 units. If Line B produces 555 units, how many units does Line A produce during the same time?

Answers

Final answer:

Assembly Line A will produce 24975 units during the same time that Line B produces 555 units.

Explanation:

Let's assume that the time it takes for Assembly Line A to produce 45 units is equal to the time it takes for Assembly Line B to produce 37 units. This means that the time it takes for Line A to produce 1 unit is equal to the time it takes for Line B to produce 1 unit.

Now, we can set up a proportion to find how many units Line A will produce during the same time that Line B produces 555 units:

45 units / 1 unit = x units / 555 units

Cross-multiplying, we get:

45 * 555 = x units * 1

x units = 24975 units

Therefore, Line A will produce 24975 units during the same time that Line B produces 555 units.

Simplify the product.

8x2(4x2 + 4y6)


a. 32x4 + 32x2y6


b. 12x4 + 12x2y6


c. 32x4 + 32xy8


d.12x4 + 12x2y6

Answers

8x^2 ( 4x^2 + 4y^6 ) 

32 x ^ 4  + 32 x^2 y^6

A is the answer

Answer:

A

Step-by-step explanation:

Please help with these two questions thank you.

Answers

1. Perpendicular Transverse Theorem
2. a=30 and b=60

Which set represents the range of the function shown?

{(-1,5),(2,8),(5,3),(13,-4)}

A- {-1,2,5,13}
B-{-4,3,5,8}
C- {(5,-1),(8,2),(3,5),(-4,13)}
D-{-4,-1,2,3,5,5,8,13}

Answers

Choice B is the correct answer. 
The range is the y values. 
Always remember domain comes first, then range. 
So we can see that the range includes: 5,8,3,-4
We must simply put it in numerical order: -4,3,5,8 and we see it has a match with B. 

Answer:

B. {-4,3,5,8}

Step-by-step explanation:

We are given,

The set representing the function is {(-1,5),(2,8),(5,3),(13,-4)}.

It is required to find the range set of the function.

Now, as we know,

In the ordered pair [tex](x,y)[/tex], the y co-ordinate 'y' represents the range values of a function.

So, we see that,

The range values of the given function are 5, 8, 3 and -4.

Thus, the set representing the range of the function is {-4,3,5,8}.

What is the image of (5,-1) under same translation?

Answers

P(-2, 3) to P'(-6, -4)
translate 4 units left and 7 units down

so (5, -1) with 4 units left and 7 units down should be (1, -8)
answer is B. (1, -8)

The image of point (5, -1) under the same translation that maps point P to P' is (1, -8). This translation vector is obtained by subtracting the coordinates of P from P'.

To find the image of point (5, -1) under the same translation T that maps point P to P', we can calculate the vector that represents the translation from P to P' and then apply the same translation to point (5, -1).

The translation vector is given by:

Translation vector = P' - P = (-6, -4) - (-2, 3) = (-4, -7)

Now, to find the image of point (5, -1) under the same translation, we simply add this translation vector to (5, -1):

Image of (5, -1) = (5, -1) + (-4, -7) = (5 - 4, -1 - 7) = (1, -8)

So, the image of point (5, -1) under the translation T is (1, -8). Therefore, the correct answer is B. (1, -8).

Learn more about image of point here:

https://brainly.com/question/32018278

#SPJ3

Graph the equation
Do number 25,26,27

Answers

25. The first one you should draw a vertical line going through 2, the whole way

26. Draw a horizontal line go through negative 5

27.2y = -6
y = -3 
Draw a horizontal line go through -3 

I can draw the graphs if you still dont understand
25. x = 2
26. y = -5
27. y = -3

Which can be a next step in the construction of an angle with a side on line l that is congruent to ∠ABC?

Answers

To construct an angle with a side on line l that is congruent to ∠ABC, follow these steps: Draw line l, measure ∠ABC, draw a ray from line l with the same angle, label the intersection point as B, and segment AB is congruent to side AC.

To construct an angle with a side on line l that is congruent to ∠ABC, you can follow these steps:

Draw line l.

Use a protractor to measure ∠ABC.

Draw a ray from line l, starting at point A and making the same angle as ∠ABC.

Label the point where the ray intersects line l as B.

Now, segment AB is congruent to side AC of ∠ABC.

A total of 900 tickets were sold for a game for a total of $1,150. if adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?

Answers

575 adult tickets and 325 child tickets were sold.

adult tickets = a
child tickets = c

a + c = 900
2a + c = 1150

Subtract c from the equation on top to get a = 900 - c
Substitute this value into the second equation 2(900 - c) = 1150
Simplify to make 1800 - 2c = 1150
Add 2c to both sides
1800 = 1150 + 2c
Subtract 1150 from each side
2c = 650
Divide by 2 so that c = 325. Therefore, 325 child tickets were sold.

To find the number of adult tickets, subtract 325 from 900
The remaining number (a = 900 - 325 = 575) is how many adult tickets were sold. 575 adult tickets were sold.

The table shows the number of minutes Jalen talks on his mobile phone and the cost of the phone calls. Jalen’s Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Answers

From the listed options, it's A) y= 0.05

Like this if it helps-hope it does

Answer:

[tex]y=0.05x[/tex]

Step-by-step explanation:

Given :

x                    Cost, y  

150               $7.50  

220              $11.00

250              $12.50  

275              $13.75

To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Solution:

To find equation we will use two point slope form.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(150,7.50)[/tex]

[tex](x_2,y_2)=(220,11.00)[/tex]

Substitute the values in the formula.

[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]

[tex]y-7.50=0.05(x-150)[/tex]

[tex]y-7.50=0.05x-7.50[/tex]

[tex]y=0.05x[/tex]

Hence the equation which represents the variation is   [tex]y=0.05x[/tex]

what is the value of the function f(x)=1/4x-3 when x=12

6
1
0
-6

Answers

f(12) = ¼(12) -3
= 3-3=0

=0
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