The courthouse is the tales building in the city. If it is 7.5 inches tall in the model, how tall is the actual building? As part of a city building refurbishment project, architects have constructed a scale model of several city buildings to present to the city commission for approval. The scale of the model is 1 inch = 9 feet. Use this scale to answer the following questions.

Answer:

6-16=10x here is you answer

Answer:

SAS theorem

Step-by-step explanation:

Given

[tex]\square ABCD[/tex]

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex]

[tex]\angle BAC = \angle DCA[/tex]

Required

Which theorem shows △ABE ≅ △CDE.

From the question, we understand that:

AC and BD intersects at E.

This implies that:

[tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]

and

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex]

So, the congruent sides and angles of △ABE and △CDE are:

[tex]\[ \lvert \[ \lvert AB =\[ \lvert \[ \lvert CD[/tex] ---- S

[tex]\angle BAC = \angle DCA[/tex] ---- A

[tex]\[ \lvert \[ \lvert BE = \[ \lvert \[ \lvert ED[/tex] or [tex]\[ \lvert \[ \lvert AE = \[ \lvert \[ \lvert EC[/tex]  --- S

Hence, the theorem that compares both triangles is the SAS theorem

Answer:

5.3!

Step-by-step explanation:

I took the test on k12 mathematics :)

Answer:

A) 45-(+15)+25-(-5) = 35

B) -30-(-14)-(-4)= -12

Answer:

17 problems.

Step-by-step explanation:

19 + 9 = 28

(Amanda is in the afternoon class, so she gets 9 more homework assignments than the morning class, which gets 19.)

28 - 11 = 17

(Amanda has already completed 11 homework problems.)

Answer:

8(m⁶ - 8n¹²p¹⁵)

Step-by-step explanation:

Given:

8m⁶ - 64n¹²p¹⁵

The only part that we can factor out is in the coefficients.  Because both terms use different variables, they can not be factored.  However, both terms are divisible by eight, so we can say it equals:

8(m⁶ - 8n¹²p¹⁵)

And that is all the factoring that can be done.

Answer:

$7.98

Step-by-step explanation:

I am not sure if this is right but hopefully this helps!

Answer:

The third one

Step-by-step explanation:

The graphs in the reversed shape of a cup are the graphs of quadratic equations whose coefficient of

x^2 is negative.

So, the answer must be either the first or the third.

It can be seen that when x= -4, y becomes 5.

Substituting the value of x, the third equation gives the value 5.

So, the answer is the third one.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution:

Rewriting input as fractions if necessary:

9/10, 1/4

For the denominators (10, 4) the least common multiple (LCM) is 20.

LCM(10, 4)

Therefore, the least common denominator (LCD) is 20.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

9/10 = 9/10 × 2/2 = 18/20

1/4 = 1/4 × 5/5 = 5/20

Answer:

f⁻¹(x) = eˣ / 3

Step-by-step explanation:

f(x) = In(3x)

y = In(3x)

swap x and y: x = In(3y)

solve y: eˣ = 3y

y = eˣ / 3

f⁻¹(x) = eˣ / 3

Answer:

11 1/4

Step-by-step explanation:

Multiply this by three, 3, 6, 9.

3/4, 1 2/4, 2 1/4.

2 + 9 = 11.

11= 1/4 = 11 1/4

Answer:

Max drank 11 1/4 cups of milk today.

Explanation:

Convert the mixed number (3 3/4) to a fraction.  

Then your equation becomes:

15/4 x 3/1 (since he tripled the cups of milk he drank you multiply by 3 which as a fraction is 3/1)

Next:

15/4 x 3/1= 11 1/4!

Hope this helps :)

Answer:

E = 58

F = 32

G = 90

Step-by-step explanation:

3x + 31 + 5x -13 + 90 = 180

3x + 31 + 5x -13 = 90

8x = 90 - 31 + 13

8x = 72

x = 72 / 8

x = 9

E = 3(9) + 31 = 27+31 = 58

F = 5(9)-13 = 45 - 13 = 32

G = 90

Answer:

About 3.67

Step-by-step explanation:

1 - 1/3 = 3.66666666667

And 3.66666666667 ≈ 3.67

Answer:

Option (2)

Step-by-step explanation:

Amount of apples in a box = [tex]2\frac{3}{4}[/tex] pounds

                                            = [tex]\frac{11}{4}[/tex] pounds

Apples used by Sage = [tex]\frac{1}{5}th[/tex] Part of the total amount

                                    = [tex]\frac{1}{5}[/tex]th part of the apples in the box

                                    = [tex]\frac{1}{5}\times \frac{11}{4}[/tex]

                                    = [tex]\frac{11}{20}[/tex] pounds

Therefore, Sage used [tex]\frac{11}{20}[/tex] pounds of the apples.

Option (2) will be the answer.

Answer:

110

Step-by-step explanation:

Let the three numbers be 100, 110 and 120

100 + 110 + 120 = 330

Total numbers = 3

[tex]mean = \frac{330}{3} = 110 \\ [/tex]

Answer:

Step-by-step explanation:

Rebecca's car insurance been reduced by 18%

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, Last year, Rebecca's car insurance cost her £2043. This year it only cost her £1675.26.

Percentage decrease = (Final value - initial value) / initial value × 100

Final value = £1675.26

Initial value = £2043

Percentage decrease = (2043 - 1675.26) / 2043 × 100

= 367.74 / 2043 × 100

= 0.18 × 100

= 18 %

Hence, Rebecca's car insurance been reduced by 18%

Learn more about percentage, click;

https://brainly.com/question/29306119

#SPJ2

Answer:

40

Step-by-step explanation:

round the last 8 to nine then do that to the other nine and do that once more

Answer:

X=4

Y=18

I think

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

y = - 2x - 4 → (1)

y = 4x + 2 → (2)

Substitute y = 4x + 2 into (1)

4x + 2 = - 2x - 4 ( add 2x to both sides )

6x + 2 = - 4 ( subtract 2 from both sides )

6x = - 6 ( divide both sides by 6 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

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

solution is (- 1, - 2 )

Answer:

12,24,36,60

Step-by-step explanation:

multiples of 4 and 6 less than 61

4 (4,8,12,16,20,24,28,32,36,40,44,48,52,56,60)

6 (6,12,18,24,30,36,42,48,54,60)

common multiples (12,24,36,60)

Answer:

60 pounds of meat

Step-by-step explanation:

Number of lions = 4

Pounds of meat consumed = 7 pounds each

Number of cubs = 8

Pounds e meat consumed = 4 pounds each

Amount of meat consumed each day by the lions = 4 × 7 + 8 × 4

Multiply first

= 28 + 32

= 60 pounds of meat

The lions consume 60 pounds of meat each day.

9514 1404 393

Answer:

  f(x) = 2(x -3)² +5

Step-by-step explanation:

For vertex (h, k) and scale factor 'a', the vertex form is ...

  f(x) = a(x -h)² +k

We can fill in the values of h and k from your vertex, and use the values of the extra point to find 'a'.

  55 = a(-2 -3)² +5

  50 = 25a . . . . . . . . subtract 5

  a = 2 . . . . . . . . . . . divide by 25

So, the function is ...

  f(x) = 2(x -3)² +5

__

In standard form, that will be ...

  f(x) = 2x² -12x +23

The inside diameter would be the outside diameter minus 2 of the wall thicknesses.

4 9/32 - (2 x 7/32)

Simplify:

4 9/32 - 14/32

Because 14/32 is larger than 9/32 change one of the hole numbers to a fraction: 1 = 32/32

rewrite 4 9/32 as 3 41/32

Now subtract:

3 41/32 - 14/32 = 3 27/32 inside diameter.

Answer:

Step-by-step explanation:

I hope that is useful for you :)