Find the value of x. Then find the measure of each labeled angle

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

Complete question :

The two largest lizards in the United States are the Gila monster and the Chuckuwalla. The average Gila monster is 0.608 meter long. The average Chuckwalla is 0.395 meter long. How many times as long is the Gila Monster as the Chuckwalla, to the nearest hundredth?

Answer:

1.54 times

Step-by-step explanation:

Given that:

Average length of Gila monster = 0.608 meter

Average length of chuckwalla = 0.395 meter

Number of times the Gila monster is than the Chuckuwalla :

Average Length of Gila monster / average Length of chuckwalla

= 0.608 meter / 0.395 meter

= 1.5392405 times

= 1.54 times

Answer:

Step-by-step explanation:

y = f(x)

therefore

x + y = 11 → x + f(x) = 11     |subtract x from both sides

x - x + f(x) = 11 - x

f(x) = -x + 11

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

Here,

To find the function with the same graph as x + y = 11,

we need to isolate y in the equation to make it of the form y = f(x).

Given equation: x + y = 11

Subtract x from both sides of the equation:

y = 11 - x

Now, we have the equation in the form y = f(x).

so, we get, f(x) = -x + 11

i.e. The function which has the same graph as x + y = 11 is: f(x) = -x + 11

so, we have,

The correct function is f(x) = 11 - x, has the same graph as x + y = 11, which corresponds to option B.

Therefore, the correct answer is:

B. f(x) = -x + 11

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Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

Answer:

(0,0.5)

Step-by-step explanation:

Trust me, it's from Khan Academy

Answer:

yes

Step-by-step explanation:

because the cost stays the same and you would multiply blank gallons of gas by 1.50 every time so it is proportional. For example: it would be $1.50 to 1 gallon, $3 to 2 gallons, $4.50 to 3 gallons and would keep going like that, adding the same amount every time

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

So,

$140 Dollars per 18 feet

Divide by 18 on both sides

140/18=18/18

140/18 is equal to 7 and 2/9

The answer is 7.77777778

Answer:

No.

Step-by-step explanation:

I believe that the number above is irrational, because it repeats.

Answer:

-2, -3.1, -2.5

Step-by-step explanation:

Since the diver dived into the pool, they are below the surface (assuming it is an inground pool). So the correct answers will be the negative answers.

The numbers to represents a diver’s position in relation to the surface of the water after diving into a pool is;

-2 meter

-3.1 meter

Negative 2 and one-half meters

Given that;

A diver’s position is in the surface of the water diving into a pool.

We have to find number to represents a diver’s position in relation to the surface of the water after diving into a pool.

What is Negative number?

A number less than zero is called the negative number.

A diver’s position is in the surface of the water diving into a pool.

Since, Diving into a pool is represents negative number.

Hence, The number to represents a diver's position is in negative sign.

So, The numbers are;

⇒ -2 meter

⇒ -3.1 meter

⇒ Negative 2 and one-half meters.

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Answer: 3/4

Step-by-step explanation:

Answer:

The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

Step-by-step explanation:

We are given

Average of 3 quiz grades = 17

Grade of quiz 1 = 14

Grade of quiz 2 = 19

We need to find Grade of quiz 3

The formula used will be: [tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}[/tex]

Using formula and finding the grade of quiz 3

[tex]Average \ of \ 3 \ quiz \ grades = \frac{Grade \ of \ Quiz \ 1+Grade \ of \ Quiz \ 2+Grade \ of \ Quiz \ 3}{3}\\17=\frac{14+19+Grade \ of \ Quiz \ 3}{3} \\17*3=14+19+Grade \ of \ Quiz \ 3\\51=33+Grade \ of \ Quiz \ 3\\Grade \ of \ Quiz \ 3=51-33\\Grade \ of \ Quiz \ 3=18[/tex]

So, The equation required is [tex]17=\frac{14+19+Grade \ of \ Quiz \ 3}{3}[/tex] and Grade of quiz 3 is 18

Answer:

Need more information

Step-by-step explanation:

I need to know what percentage/fraction of the book she read in 1 hour or any other information about the rate she is reading

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

Answer:

the answer is C and D because perimeter is the sum of all sides of a figure

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

Answer:

-9

Step-by-step explanation:

-3 - 6

-3 + -6

-9

hope this helps!

Answer: 30, 60, 90

Step-by-step explanation: 30 * (1:2:3)

30+60+90 =180

Sum of all angles of a triangle is 180

Answer:

down

Step-by-step explanation:

are there options

Answer:

The maximum height of the rocket is 3600

Step-by-step explanation:

The vertex of the quadratic equation y = ax² + bx + c is (h, k), where

The height of the rocket calculated using the equation y = -16x² + 480x, where y is the height and x is the time

To find the maximum height, do that

Let us do that

∵ y = -16x² + 480x

∴ a = -16 ⇒ the vertex is a maximum point

∴ b = 480

→ Use the rule above to find h

∵ h = [tex]\frac{-b}{2a}[/tex]

∴ h = [tex]\frac{-480}{2(-16)}[/tex] = [tex]\frac{-480}{-32}[/tex]

∴ h = 15

∵ k = y at x = h

→ Substitute x by 15 in the equatuion and y by k to find x

∵ k = -16(15)² + 480(15)

∴ k = -3600 + 7200

∴ k = 3600

∵ The maximum height equal the value of k

∴ The maximum height of the rocket is 3600

Answer:

Step-by-step explanation:

The question is incomplete, here is the detailed version:

A) A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and

the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much

does the factory pay out for each week?

B) If the same factory has supplies expenses of $1,135.78 a DAY in addition to the wages above

and makes $60,128.72 in a week, what is the factory’s total profit or loss in one week? .

A. The total pay per week

  =  (10(150)+88(85.5))*6

  =(1500+7524)*6

  =9024*6

  =$54144

B. The factory’s total profit or loss in one week.

 = 60,128.72-(54144+6(1135.78))

 =60128.72-(54144+6814.68)

 =60128.72-60958.68

 = -829.96

The factory will make a loss of $829.96 per week

Answer:

the question is incomplete, so I looked for similar ones

the number of bottles of water remaining as a function of time:

f(x) = -78x + 468

1.3 bottles are sold per minute x 60 minutes per hour = 78 bottles per hour

x = number of hours

the slope is -78

the y intercept is 468

domain = 0 ≤ x ≤ 7.5 hours (from 10 AM to 5:30 PM)

range = 0 ≤ y ≤ 468 bottles

the snack will run out of bottles of water by 4 PM

78x = 468

x = 468 / 78 = 6 hours

if the snack wants to have enough bottles of water to serve all its customers, it will need:

78 x 7.5 hours = 585 bottles of water

Answer:

5

Step-by-step explanation:

125 breaks down into 5×5×5, which proves that it's 5.

Answer:

5 is the right answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

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

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

Hence the required equation is y+1 = 3/4(x-1)

Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles