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Option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

Two or more expressions with an Equal sign is called as Equation.

We have to find the equation can be solved to find x, the measure of z in the diagram below

The arc measure of TS is 185 degrees in the circle

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

We use the equation to find the measure of z

(185 - x) = 76

Hence, option A is correct, (185 - x) = 76 equation can be solved to find x, the measure of 2

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Step-by-step explanation:

I don't know if this is the right way to so it, but I would do it like this

since a triangle has 180 degrees, the angles all have to add up to 180

So 180 = a + b + c

we already know a, its 95

So 180 = 95 + b + c

now we know the equation for b, so we'll just put it there instead of the b, and since the angles are the same, we should put it instead of c too

180 = 95 + (4x-15) + (4x-15)

now subtract 95 from both sides

85 = (4x-15) + (4x-15)

add the xs and numbers together

85 = 8x - 30

now add the 30 to both sides

115 = 8x

divide by 8

your x is 14 3/8 or 14.375 or 115/8

that's not your angle, that's your x

9514 1404 393

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

Using the second equation, we can substitute for x in the first equation:

  6(y+3) -5y = 15

  y +18 = 15 . . . . . collect terms

  y = -3 . . . . . . . . . subtract 18

Using the second equation:

  x = y +3 = (-3) +3 = 0

The solution is ...

  x = 0

  y = -3

y-y1 = m(x-x1) — point-intercept form

Given both x1 and y1 = coordinate point.

First​ we have to find the slope by using rise over run. (y2-y1)​/(x2-x1)​ = m

The slope should be m = -4 then we substitute m-value in point-slope form.

y-y1=-4(x-x1) — new equation. After substituting slope in, we need to find the coordinate point that is part of the graph. You can use any points that are given in the picture. I will use point F or (5,0).

Then we substitute x1 = 5 and y1 = 0 in the point-slope form

y-0=-4(x-5) — point-slope form

y=-4x+20 — slope-intercept​ form..

How about we change to another coordinate point to substitute in? We can check if these points also give same equation (slope-intercept).

Let's substitute (4,4) in the equation.

y-4=-4(x-4)

y=-4x+16+4

y=-4x+20

Same answer. Meaning that all these points that are shown can be substituted in the equation and get the same slope intercept form.

Therefore, point-slope form for the graph can be

y-4=-4(x-4)

you can also change the coordinate point value.

Answer:

$1,956.95

Step-by-step explanation:

The school bought 47 sandwiches for $40.60

= 47 × 40.60

= 1,908.2

They also bought 39 bags of chips for $1.25

= 1.25×39

= 48.75

Therefore the total amount spent can be calculated as follows

= 48.75 + 1,908.2

= 1,956.95

Hence the total amount spent by the school is $1,956.95

Step-by-step explanation:

2y + z = 13

2x + z = 11

x + y + z=12

x= -1

y= 0

z= 13

Answer:

6 17/18

Step-by-step explanation:

You first find the common denominater and covert the fractions

4 8/18 + 2 9/18

Then add!

Step-by-step explanation:

5x-17 and 3x-11 are supplementary angles

They add up to 180 degrees

5x-17 + 3x - 11 = 180

8x - 28 = 180

8x= 208

x= 26

3x-11, 90, and 2y + 5 added together equal 180

3x-11 + 90 + 2y + 5 = 180

3(26) - 11 + 2y + 5 = 90

78 - 6 + 2y = 90

72 + 2y = 90

2y = 18

y = 9

I hope this helps!!!

Answer:

14.2 units

Step-by-step explanation:

use the distance formula -  take the square root of the following:

([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2 +([tex]x_{2}[/tex]-[tex]x_{1}[/tex])^2

should be sq rt of 202, or approx 14.2 units

Step-by-step explanation:

The number of people to paint the bridge is inversely proportional to the number of hours it takes.

(If there are more people, it will take less time etc.)

9 people can paint the bridge in 5 hours.

=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.

Answer:

Okay so I’m gonna do a few and list a few examples

In slope intercept form its

y=mx+b

Y= Random Y coordinate (Not that important for now while writing)

m= Slope

X= random x coordinate (not that important for now while writing)

b= Y intercept

SO basically plug it in like that so for the first one

the slope is 1/3  and y-intercept is -1

so

y=1/3x-1

And thats how you do it

leave the y and x

Graphing

So for graphing or fining the equation, first identify the y-intercept

The y-intercept is on the y axis (obviously), and its the number where the line first hits, so for the first one, the y intercept is 3 becuase thats where the first line meets on the Y axis. When identified start doing rise over run, lik just go up and right, if there is no space, dot he opposite, go down and go left or right (depends if the line is rising or falling, you can tell if rising (positive) if the line goes from down to up form left to right , if falling (negative) vice versa, up to down from left to right). And just write the equation after identifying the slope And y-intercept, the x and y don’t matter.

4) y= -1/3x+3 (watch your signs, if falling the slope is automatically negative)

5) y=1/2x+1

6) y=4x-5 (negative y-intercept due to the part where the y meets up with the line, its in the negative side)

(remember to write these equations on the top side of the line

Answer:

no solution

Step-by-step explanation:

2x - 6 = -2 + 2x

0 = 4

no solution

The fraction would be the part of the number over the actual number.

The fraction would be 60/90

Dividing both numbers by 30, the fraction reduces to 2/3

The answer is 2/3

Answer:

Solution given:

let fraction be x.

equation becomes:

60/x=90

doing crisscrossed multiplication

60=90x

dividing both side by 90

60/90=90x/90

x=60/90

reduced the term

x=⅔

⅔ is fraction of 60 to get 90

Answer:

plus 4 each month

Step-by-step explanation:

Answer:

Graph (1)

Step-by-step explanation:

Given equation of the graph is,

y = 20(1.25)ˣ

Table for the input - output values of the function,

x          -2          -1          0          

y         12.8        16        20  

These points lie on curve (1).

Therefore, curve (1) will be the graph represented by the equation.

Answer:

Theres no equation here?

Step-by-step explanation:

Answer:

2$

Step-by-step explanation:

16$ times 5 = 80

80 divided by 40 =2

Answer:

$2

Step-by-step explanation:

answer:

18 - 3 should be done first.

step-by-step explanation:

this should be done because of PEMDAS. the rule states that between addition and subtraction, you have to go from left to right. therefore, 18-3 comes first when going from left to right.

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Answer:

1/3=2/6

Step-by-step explanation:

1*2=2

3*2=6

Answer: 1/3=2/6

Step-by-step explanation: the numerator (1) in the first fraction is half it is in the second (2). This means the denominator in the first question (unknown) will be half the second (6). Half of (6) is (3). Your answer is 3.

9514 1404 393

Answer:

  6 : 5

Step-by-step explanation:

The diagram shows you that the boxes have a length (L) to width (W) ratio such that ...

  3L = l = 4W

  L/W = 4/3

Suppose we call the width of the box 3 units, then its length is 4 units, and we have the crate dimensions ...

  l = 4(3) = 3(4) = 12

  w = 3+3+4 = 10

Then the ratio l : w is 12 : 10 = 6 : 5.

Answer:

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Step-by-step explanation:

You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.

Samuel's hourly rate after n seasons at the company will then be:

f(n)= 12.50 + 0.35*n

To determine the hourly rate after 18 seasons, you must replace the value n with 18:

f(18)= 12.50 + 0.35*18

Solving you get:

f(18)= 12.50 + 6.3

f(18)= 18.8

Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n.  After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.

Answer:

Option C (48x)

Step-by-step explanation:

Measure of sides of square = 12x in.

Formula for perimeter of a square = 4s (where s = sides of a square)

So, the expression will be = 4(12x) = 48x

Answer:

yes

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Each Y value has its reprective x value and vise versa

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Answer: b

Step-by-step explanation: because its 50/50