Given DA = 14, A F = 21, KE = x, and EF = 15. What must the value of x be in order to prove AE || KD?
Given DA = 14, A F = 21, KE = - 1

Answers

Answer 1
Answer:

Using cross multiplication you can determine that the ANSWER is 10.

Answer 2
Answer:

Answer:

x=10  

Step-by-step explanation:      

We have been given an image of a triangle. We are asked to find the value of x.    

We can see that triangle AFE is similar to triangle DFK. We know that corresponding sides of similar triangle are proportional, so we can set an equation to solve for x as:

(21)/(14)=(15)/(x)  

Upon cross multiplying our given equation, we will get,

21x=15*14

(21x)/(21)=(15*14)/(21)

x=(15*2)/(3)

x=5*2  

x=10

Therefore, the value of x is 10.


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At $ 0.49 per​ bushel, the daily supply for wheat is 409 ​bushels, and the daily demand is 589 bushels. When the price is raised to $ 0.85 per​ bushel, the daily supply increases to 529 ​bushels, and the daily demand decreases to 229 bushels. Assume that the​ price-supply and​ price-demand equations are linear.(A) Find the supply equation.
(B) Find the demand equation.
(C) Find the equilibrium price and quantity

Answers

Answer:

(A) Find the supply equation.

Qs = 245.67 + 333.33Ps

(B) Find the demand equation.

Qd = 1079 - 1000Pd

(C) Find the equilibrium price and quantity

Price P = $0.625

Quantity Q = 454 bushels

Step-by-step explanation:

The demand equation is of the form;

Q = a - bP

The supply equation is of the form;

Q = c + eP

We need to determine the values of a,b,c,d;

At $ 0.49 per​ bushel, the daily supply for wheat is 409 ​bushels, and the daily demand is 589 bushels

589 = a - b(0.49) ........1

409 = c + e(0.49) .........2

When the price is raised to $ 0.85 per​ bushel, the daily supply increases to 529 ​bushels, and the daily demand decreases to 229 bushels;

229 = a - b(0.85) ........3

529 = c + e(0.85). .......4

Subtract equation 3 from 1

589-229 = b(0.85) - b(0.49)

360 = b(0.36)

b = 360÷0.36

b = 1000

Using equation 1

589 = a - 1000(0.49)

a = 589+490 = 1079

Subtract equation 2 from 4

529-409= e(0.85) - e(0.49)

120 = 0.36e

e = 120/0.36

e = 333.33

Using equation 2

409 = c + 333.33(0.49)

c = 409 - 333.33(0.49)

c = 245.67

Therefore the demand equation is;

Qd = 1079 - 1000Pd

The supply equation is ;

Qs = 245.67 + 333.33Ps

The equilibrium price is at Qs = Qd and Ps = Pd

1079-1000P = 245.67 +333.33P

P = (1079-245.67)/(1000+333.33)

P = $0.625

Qd = 1079 - 1000(0.625)

Qs = Qd = 454

I’ve looked everywhere for the answer, so please help a pimp out

Answers

Answer:

b

Step-by-step explanation:

A line segment has end points at (3, -5) and (4, 1) What is its length?a. 9 units
b. 6.9 units
c. 9.2 units
d. 5 units

need an explanation if possible please.

Answers

Answer:

6.08units

Step-by-step explanation:

The distance between two points of a line is expressed as;

D = √(y2-y1)²+(x2-x1)²

Given the coordinates  (3, -5) and (4, 1);

D = √(1+5)²+(4-3)²

D = √(6)²+(1)²

D = √36+1

D = √37

D = 6.08 units

Hence its length is 6.08units

Although the earth's orbit about the sun is elliptical, the average distance from the earth to the sun is approximately 93 million miles. It takes the earth 365.25 days to make one complete revolution around the sun. What is the linear speed of the earth, in miles per day, as it travels around the sun? A. Approximately 1.6 million miles per day
B. Approximately 255,000 miles per day
C. Approximately 501,000 miles per day
D. None of these

Answers

The approximate circumference of the orbit is 93 x 2 x PI = 584.34 billion miles.

Divide that by the number of days:

584.34 / 365.25 = 1.6 million miles a day

I’m thinking it’s d

Fast plz
The options are
-Is
-Is not

Answers

Answer:

the rate of change is constant

Step-by-step explanation:

A pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.

Answers

Answer:

1). Mass of water present= 18000 kg

2).4/3 meters deep

Step-by-step explanation:

Area of the rectangle= 6*3= 18m²

Volume of water in the pool

= Deepness of water*area of rectangle

= 1*18

= 18 m³

density of water is about 1 gram per cubic centimeter

In kg per m³= 1000 kg/me

Mass of water present= density*volume

Mass of water present= 1000*18

Mass of water present= 18000 kg

2)6000 kilograms of water is added to 18000 of

Total mass present= 6000+18000

Total mass present=24000 kg

If density= 1000kg/m³

Volume present= mass/density

Volume present= 24000/1000

Volume present= 24 m³

Area of the rectangle= 18 m²

deepness of the pool= volume/area

deepness of the pool= 24/18

deepness of the pool= 4/3 meters deep