A sidewalk will be put in around the block. The sidewalk will cover an area of 67,500 square feet and the length will be three times the width. The area is represented by the equation: . Solve for w.

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]

In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,

Hence here in ∆ ART & ∆ DFI :-

[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]

Hence the value of x is 6 .

[tex]\rule{200}2[/tex]

[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]

9514 1404 393

Answer:

  36°

Step-by-step explanation:

BY bisects angle B, which has a measure of 72°. That means angles 3 and 4 are each half of 72°, or 36°.

  m∠4 = 36°

Answer:

7

Step-by-step explanation:

42 divided by 6

Answer:

Step-by-step explanation:

Answer:

40.39

Step-by-step explanation:

Answer:

x ≥ 98

[tex]\frac{x}{7}\ge \:14[/tex]

[tex]\frac{7x}{7}\ge \:14\cdot \:7[/tex]

[tex]x\ge \:98\\[/tex]

I hope this helps:

Answer:

the answer is A x>_98

Step-by-step explanation:

just trust me. hoped I helped:)

Answer:

divide 12

12/12 : 2/12

1 : 2/12

1 : 1/6

n=1/6

Answer:

DURING PUBERTY

its ture

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

Answer:

it is B. 144.93 on edge my friends

Step-by-step explanation:

cause i know so

Answer:

200mph

Step-by-step explanation:

Speed is expressed using the expression

Speed = Distance/Time

For Mattie

Distance = 200miles

Speed = x

Time taken by mattie = Distance/speed

Time taken by mattie = 200/x ... 1

For the propeller plane:

Distance = 800miles

Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)

time taken by the plane = 800/x+150

Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:

200/x = 800/150+x

Cross multiply

800x = 200(150+x)

800x = 30,000 + 200x

800x-200x = 30,000

600x = 30,000

x = 30,000/600

x = 50

Get the speed of the plane

Since the speed of the plane is 150+x

Speed of the plane = 150+50

Speed of the plane = 200mph

Answer:

Step-by-step explanation:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Answer:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Step-by-step explanation:

Answer:

library-6

auditoriam-54

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

Answer:

14 cups

Step-by-step explanation:

Amount of juice had = 7/5 gallons

Cup to fill = 1/10 gallons

We can therefore write;

1cup = 1/10 gallons

x cups =7/5 gallons

ross multiply

1/10 x = 7/5

x/10 = 7/5

70 = 5x

x = 70/5

x = 14

Hence 14 cups cam be filled

Answer:

No

Step-by-step explanation:

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You said x=3

Answer:

if the answer isn't 3 then its 1

Answer:

13.6 gallons

Step-by-step explanation:

y = 2.72x

this means that 2.72 is multiplied by x

y = 2.72 * x

x = number of gallons

5 = number of gallons

5 = x

y = 2.72 * 5

y = 13.6 gallons

Answer:

y = 49

x = 15

Step-by-step explanation:

The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49

(7x + 13) + (2x - 9) + 41 = 180

add like terms -     9x + 45 = 180

subtract -               9x = 135

Divide -                    x = 15

Answer:

yes

Step-by-step explanation:

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

Answer:

21 because I serch it up I believe

Step-by-step explanation:

5 days = 750 miles

=> 1 day = 750 / 5 = 150 miles.

Theo's family will drive 150 miles per day.

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values in for x and y to check.

-1 = 7 - 8

-1 = -1

In this instance, (7, -1) is a solution of y = x - 8.

Answer:

3

Step-by-step explanation:

1/5 / 1/15 = 3

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14