The model includes a new park in the center of the city. If the dimensions of the
park in the model are 9 inches by 17 inches, what are the actual dimensions of the
park

Answer:

Conclusion:

Step-by-step explanation:

Given

We know that the diagonals of a parallelogram bisect each other.

Therefore,

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

Answer:

(x – 8)2 + (y – 10)2 = 36

Step-by-step explanation:I took the test

The equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be  

[tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

Equation of a circle is written in the form [tex](x-h)^2+(y-k)^2=r^2[/tex] where  [tex](h,k)[/tex]  is the center and  [tex]r[/tex]  is the radius.

We have,

The center at  [tex](8, 10)[/tex]  and radius is [tex]6[/tex] .

i.e.

[tex]h=8[/tex]

[tex]k=10[/tex]

[tex]r=6[/tex]

So, using the above given equation,

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Putting the above values in this equation

We get,

[tex](x-8)^2+(y-10)^2=(6)^2[/tex]

i.e.

[tex](x-8)^2+(y-10)^2=36[/tex]

This is the equation of a circle which is derived using the above given equation.

Hence, we can say that the equation of a circle with center at  [tex](8, 10)[/tex]  and radius [tex]6[/tex] will be [tex](x-8)^2+(y-10)^2=36[/tex]  which is given in option [tex](3)[/tex] .

To know more about equation of a circle click here

https://brainly.com/question/10618691

#SPJ2

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C≈31.42

Step-by-step explanation:

Radius=5 (10 divided by 2)

C=2πr

Brainly plss

Answer:

The answer is 7/100

Answer:

Cost of one CD = $9.98

Step-by-step explanation:

Total cost = $214.60

Total shipping and handling fee = $15.00

Number of CDs = 20

Cost of 20 CDs = Total cost - Total shipping and handling fee

= $214.60 - $15.00

= $199.60

Cost of one CD = $199.60 / 20

= $9.98

Cost of one CD = $9.98

Answer:

$9.98

Step-by-step explanation:

took a test and got the question right (this was the answer)

Answer:

True

True

I am a Jedi

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

Answer:

for the first one it is

ED= 26

CF= 13

mED= 136

mHD= 68

mCE= dont know this one but the other ones im positive their right

Step-by-step explanation:

9514 1404 393

Answer:

  ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°

  QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°

Step-by-step explanation:

Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.

__

Circle J

ED = 2×GD = 26

CF = GD = 13

arc ED = arc CD = 136°

arc HD = 1/2 arc CD = 68°

arc CE = 360° - 2×136° = 88°

__

Circle Y

QU = 1/2×ST = 8

QR = ST = 16

arc ST = arc QR = 1/2(360° -34° -98°) = 114°

arc XT = 1/2 arc ST = 57°

Answer: nijja what

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

a: 36

b: 32

Step-by-step explanation:

Lizard views: 4

Since Ferret has 9 times as much as Lizard views, you can multiply it by 9:

4 x 9 = 36 views

To find the difference, subtract Ferret views with Lizard views:

36 - 4 = 32 views

sorry that's all I know

Answer:

14

Step-by-step explanation:

Just add both the numbers as positive to get total length since one is negative

5.3+8.7=14

Answer:

The length of the segment is 14.

Step-by-step explanation:

8.7 - (-5.3) = 14.

An easier way to do this is just by counting backwards kinda on the number line.

Answer:

fffffffffffffffffffffffffffffffffffffffffff

Step-by-step explanation:

Answer:

(3,-1)

I took the test, it said it was right.

Answer:

b

Step-by-step explanation:

b

Answer:

D) 700

Step-by-step explanation:

I used a calculator so sorry if I can't give a explanation

Answer:

r≈5

the answer is b

Answer:

:)

Step-by-step explanation:

The answer is ≈1761.76886

Answer:

You already have the answer so ima just get the points

Have a good night

Answer:

£5083

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.1%/100 = 0.021 per year,

then, solving our equation

I = 4600 × 0.021 × 5 = 483

I = £ 483.00

The simple interest accumulated

on a principal of £ 4,600.00

at a rate of 2.1% per year

for 5 years is £ 483.00.

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]