A map represents every 5 miles with 1 centimeter. If two cities are 45 centimeters apart on the map, what is the actual distance between the two cities?​

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

[tex]EF=AD=18[/tex]

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

[tex]AB=DC[/tex]               (Legs of isosceles trapezoid)

[tex]AE=DF[/tex]                (Vertical height of isosceles trapezoid)

[tex]m\angle AEB=m\angle DFC[/tex]             (Right angle)

[tex]\Delta ABE\cong \Delta DCF[/tex]                (HL postulate)

[tex]BE=CF[/tex]                (CPCTC)

Now,

[tex]BE+EF+FC=BC[/tex]

[tex]2BE+18=24[/tex]

[tex]2BE=24-18[/tex]

[tex]2BE=6[/tex]

[tex]BE=3[/tex]

Using Pythagoras theorem in triangle ABE, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex](AB)^2=(AE)^2+(BE)^2[/tex]

[tex](AB)^2=(4)^2+(3)^2[/tex]

[tex](AB)^2=16+9[/tex]

[tex](AB)^2=25[/tex]

Taking square root on both sides, we get

[tex]AB=\pm \sqrt{25}[/tex]

[tex]AB=\pm 5[/tex]

Side length cannot be negative. So, [tex]AB=5[/tex].

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

Answer:

OKAY SO:

Step-by-step explanation:

7305 divided by 110 = 66.4090909091

so just to make sure its correct u do

66.4090909091 times 110 = 7305

Answer:

20

Step-by-step explanation:

20

Answer:

20

Step-by-step explanation:

Proportions

12 = 60%

E = 100%

E = 12*100/60

E = 20

Answer: 147.87 calories

Step-by-step explanation:

Let the amount of calories in 238.5 grams of this cereal be represented by x.

Based on the information given, we can form an equation as:

110/177.4 = x/238.5

Cross multiply

177.4 × x = 238.5 × 110

x = (238.5 × 110) / 177.4

x = 147.87

Therefore, there are 147.87 calories in 238.5 grams of this cereal.

Answer:

y-intercept: (0,-4)

x-intercept: (-9,0)

Step-by-step explanation:

To find the y and x intercepts, simply plug in 0 for x or y in the equation.

y-intercept:

[tex]-\frac{4}{3} x - 3y = 12[/tex]

[tex]-\frac{4}{3} (0) - 3y = 12[/tex]

[tex]0 - 3y = 12[/tex]

[tex]-3y = 12[/tex]

[tex]y = -4[/tex]

(0,-4)

x-intercept

[tex]-\frac{4}{3} x - 3y = 12[/tex]

[tex]-\frac{4}{3} x - 3(0) = 12[/tex]

[tex]-\frac{4}{3} x - 0 = 12[/tex]

[tex]-\frac{4}{3} x = 12[/tex]

[tex]-4x = 36[/tex]

[tex]x = -9[/tex]

(-9,0)

Answer:

I disagree with Brianna.

Step-by-step explanation:

Expression A: 6x + 4

6(0) + 4

4

6(1) + 4

6 + 4

10

6(2) + 4

12 + 4

16

Expression B: 12x + 4

12(0) + 4

4

12(1) + 4

12 + 4

18

12(2) + 4

24 + 4

28

Expression C: 5x + x + 4

5(0) + (0) + 4

4

5(1) + (1) + 4

5 + 1 + 4

10

5(2) + (2) + 4

10 + 2 + 4

16

It is true that when you substitute the “x” in each expression with 0, you get 4. However, when you sustitute a different number, like 1 or 2, you get completely different answers. In order for these expressions to all be equal, they have to all get the same answer each time. Yet, notice how both expressions A and C got the same answer every time. This is because when you simplify expression C, you get 6x + 4 (when you add together 5x and x). Therefore, expressions A and C will always be equivalent.

Answer: 6 months

Step-by-ste

462=(10,500)(0.88)t

462=924t

462/924=t

0.5=t

So the loan was 0.5 year's

Since we assume that there are 12 months in a year, the loan was 0.5 .12=6 months

Answer:

169.65 cm^3

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

slope = rise/run

slope = (-3--4)/(7--2)=1/9

Answer:

x=20 y=34

Step-by-step explanation:

x+14=2x-6

x=20

(20)+14=y

y=34

Answer: [tex]\dfrac{1}{9}[/tex]

Step-by-step explanation:

Given

Brianna roll two cubes labeled 1-6

To get a sum of 5, sample space is

[tex]n(s)=\{(1,4),(4,1),(2,3),(3,2)\}[/tex]

No of the elements in [tex]n(s)[/tex] is 4

The total outcomes possible is 36

[tex]\therefore \text{Probability }P=\dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]

Answer:

Step-by-step explanation:

The answer is the United states Supreme Court suported segreation

Answer:

30%

Step-by-step explanation:

30% of 140 is 98

Answer:the answer is 2.713inches3

Step-by-step explanation:

How I know I just did This problem and get it correct

Answer:14400

160

=

90

Step-by-step explanation: 90

⋅

π

=

90

π

→

 If you are using an approximation such as 3.14 for  

π

, multiply that by 90

Add  

160

⋅

2

to the circumference since the lengths of the rectangle are also part of the perimeter.

160

⋅

2

=

320

90

π

+

320

Answer:

5 11/24

Step-by-step explanation:

Answer:

please stop using my art

Step-by-step explanation:

i am unable to message you but you are using my art as a profile picture and am asking you to change it.

this is my old SC: kumorizorai_sky (asteriskP old account) which is also the image source. and i dont even care if i get banned. i need you to change it.

Answer:

b

Step-by-step explanation:

Answer:

1.D

2.c

Step-by-step explanation:

f(m/4)=8(m²/16)-4(m/4)

=m²/2-m

f(-4)=-3(-4)²+5(-4)

=-3(16)-20

=-48-20

=-68

Answer:

THE ANSWER IS 68

Step-by-step explanation:

Answer:

Step-by-step explanation

The answer is D I did this before in 8th grade Im in Oxford

Answer:

21 chocolate flavored and 42 other flavors

Step-by-step explanation:

[tex]63 \times \frac{1}{3} = 21 \\ 63 - 21 = 42[/tex]

Answer:

648

Step-by-step explanation:

8×3^4=648

8×81=648

Answer:

Area is 24, while the height is 6 and the base is 4

Step-by-step explanation:

Answer:

Base=4 cm, Height=6 cm, Area=24 cm sq.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

none

Step-by-step explanation: they get it each year not month, ummm right

Answer:

Question? It's incomplete.

Answer:

Ur question, pls??? Itz incomplete.

Answer:

will change by 12% because of the loan.

Step-by-step explanation:

Answer:

A. Base edge

B. Lateral edge

C. Height

D. Base

E. Lateral face

I would appreciate Brainliest but no worries.