The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?

Step-by-step explanation:

[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]

[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:

[tex] m\angle L + m\angle M = m\angle JKL \\\\

(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\

(18z + 3+5z - 3)\degree = 161\degree \\\\

(23z)\degree = 161\degree \\\\

23z = 161\\\\

z = \frac{161}{23} \\\\

\huge \red {\boxed {z = 7}} \\\\

\because \measuredangle L = (18z +3)\degree \\\\

\therefore \measuredangle L = (18\times 7+3)\degree \\\\

\therefore \measuredangle L = (126+3)\degree \\\\

\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\

\because \measuredangle M = (5z - 3)\degree \\\\

\therefore \measuredangle M= (5\times 7-3)\degree \\\\

\therefore \measuredangle M = (35-3)\degree \\\\

\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]

Answer:

m= 3-2/ 3-0= 1/3

Step-by-step explanation:

y2= 3 y1= 2

x2= 3 x1= 0

Answer:

Step-by-step explanation:210 games

14+13+12... (x2)

The total number of games played is 182.

The number of possible arrangements for a given set is calculated mathematically using permutation, where the arrangement's order matters.

Given that, there are 14 teams and each team plays twice with the other team.

Since each team plays every other team twice, the total number of games is nothing but the permutation of 2 out of 14 which is given by:

₁₄P₂

=14!/((14-2)!)

= (14×13×12!)/ 12!

= 14×13

=182

Hence, the total number of games played is 182.

Learn more about the permutations:

https://brainly.com/question/1216161

#SPJ2

Answer:

Step-by-step explanation:

Needs $500  Makes 7.50 and works 10 hours week.

7.50*10= $75.00 a week

500/75= 6.6 weeks or 6 weeks and 2/3 of a week. I'd round to 7 weeks.

75(x)=500   X= weeks needed.

75x=500 if you divide 500 by 75

x=20/3 or 6.6

Answer:

V≈6795.2in³

Step-by-step explanation:

I think

Answer:

6795.2

Step-by-step explanation:

i got it right

Answer:

Step-by-step explanation:

7x + 14 = 8.4x

14 = 1.4x

x = 10 hours

Each works 10 hours. Their total is 84 dollars each.

Answer:

$3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

Step-by-step explanation:

We are given:

Principal Amount = $3000

Interest Rate r = 5% or 0.05

n=1 (compounded yearly)

Years t= 4

We need to find future value (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values in formula and finding future value A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=3000(1+\frac{0.05}{1})^{1*4}\\A=3000(1+0.05)^4\\A=3000(1.05)^4\\A=3000(1.215)\\A=3375[/tex]

So, $3375 money would the student council have in four years if they invest $3000 at 5% interest compounded yearly.

Answer:

Step-by-step explanation:

Equation for weight of toy cars:

Equation for weight of toy trucks:

Solving the system by substituting y:

Intersection point is (5, 50)

See attached graph

Answer:

9) 15

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

You just divide 3/8 by 3 3/4. Hope this helps you!!!

Answer:

The ordered pairs are;

(-1,1) and (-2,3)

Step-by-step explanation:

Here, we want to select which ordered pair is not a solution to the given equation

The one that will not be a solution will be a point at which if we insert the x-value into the equation, we do not get the y-value at that point

For (3,7

2(3) + 1 = 7

For 0,1

2(0) + 1 = 1

For (-1,1)

= 2(-1) + 1 = -2 + 1 = -1

This is wrong

(-3,-5)

= 2(-3) + 1 = -6 + 1 = -5

(-2,3)

= 2(-2) + 1 = -4 + 1 = -3

This is wrong also

Answer:

11

Step-by-step explanation:

Answer:

11 sandwich pieces

Step-by-step explanation:

Answer:

y = 3x - 2

Step-by-step explanation:

Step 1: Look at the "y" axis and see what it is going through (-2)

Step 2: Check if the line if a positive slope or a negative slope (positive)

Step 3: Since we now know this is a positive slope, it cancels out "D" and "A".

Step 4: This would not be B because the rise is "1" and the run is "3"

Final Ansr: "C" because the rise is "3" and the run is "1" with a "-2" y-intercept.

Step-by-step explanation:

Can you take picture I don't understand the given

Answer:

ummmm honey I'm confused already

Answer:

B

Step-by-step explanation:

Answer:

B. 3/5 x d = 345

Step-by-step explanation:

Answer:

Step 3: He should have divided both sides by −7

Step-by-step explanation:

Incorrect calculation

−7x + 25 = 48

Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

-7*x/7 = 23/7

-7x/7 = 23/7

Step 4: x = twenty-three over seven

Correct calculation

−7x + 25 = 48

Step 1: −7x + 25 − 25 = 48 − 25 Step 2: −7x = 23

Step 3: negative seven times x over seven = twenty-three over seven

-7*x/-7 = 23/-7

-7x/-7 = 23/-7

Step 4: x = twenty-three over negative seven

x = -23/7

Answer:

(6, 3)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define systems

4x = 8y

2x + 5y = 27

Step 2: Rewrite systems

x = 2y

2x + 5y = 27

Step 3: Solve for y

Step 4: Solve for x

Plug in y into an original equation to find x.

Answer:

[tex](6,3)[/tex]

Step-by-step explanation:

[tex]4x = 8y\\4x/4 = x\\8y/4= 2y\\x=2y[/tex]

[tex]2(2y)+5y=27\\4y+5y=27\\9y=27\\9y/9=y\\27/9=3\\y=3[/tex]

[tex]x =2y\\x= 2(3)\\x=6[/tex]

Answer:

28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator

check 70*0.4=28

Step-by-step explanation:

Answer:

x=1, y=2

Step-by-step explanation:

1) 8x+3y=14 Original system of linear 2d equations

   2x+y=4

2)     8x+3y=14

   -4 (2x+y) =-4(4)   Multiply second equation by negative four.

3)    8x+3y=14

  +  -8x-4y=-16   Add equations, eliminating x terms

4) -y=-2

     y=2 solve for y

5) 8x+3(2)=14 Substitute solution for y to solve for x

    8x=14-6

    8x=8

       x=1

Answer: 1.728330724e+25 thats what it said when I calcuated it.

Answer:

I think its 183 1/3

It's what I figured out & the other answer says the same.

Step-by-step explanation:

You like TommyInnit, too? Poggers! <3

Answer:

183 1/3

Step-by-step explanation:

I'm assuming that x and y are directly proportional.

So anyways:

5.5 divided by 3/4 is 7 1/3.

Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.

So: 25 times 7 1/3 equal to 183 1/3

Hope this helps!

Answer:

C. y = -2/3x -2

Step-by-step explanation:

We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.    

Answer:

The first answer (top)

Step-by-step explanation:

Standard form is ax+by=c

a and b are the coefficients

Take a point from the given line

I chose (0, -2)

Then, plug in the values of x and y

2*0+3*-2=-6

-6=-6

Since it works the standard form of the line is 2x+3y=-6

1a) f(4) = 2

1b) x = 1 and x = 3

2a) g(3) = 55

2b) If you work 5 hours... you could expect to earn $85 (according to the function)

9514 1404 393

Answer:

Step-by-step explanation:

A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.

Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.

Example:

  [tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]

hope this helps.enjoy!!!!!!

Answer:

y=1.75x + 5.00

Step-by-step explanation:

Answer:

The 3, and -4 are the places where you start, then just graph 1/2 and -3 as slope

Step-by-step explanation:

Step-by-step explanation:

you start at -4 and then you go down 3 and to the right 2

Answer:

1[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

I used my calculators.