D and E are points on sides AB and AC respectively of triangle ABC such that DE || BC. If AD = x-1, DB = x – 3, AE = x + 3 and EC = x , the value of x is: ​

Answers

Answer 1

9514 1404 393

Answer:

  9

Step-by-step explanation:

The triangles are similar, so corresponding sides are proportional.

  AE/AD = EC/DB

  (x+3)/(x -1) = x/(x -3)

  x^2 -9 = x^2 -x . . . . . . . cross multiply

  x = 9 . . . . . . . . . . . add x+9-x^2 to both sides


Related Questions

state wether the product of √3 and √9 is rational or irrational. explain your answer​

Answers

√9 is rational and √3 irrational number

WILL MARK BRANLIEST
When describing a rotation, what
information must you include?

Answers

Answer:

The point you are rotating at (also called the centre of rotation)

The angle of rotation (usually in degrees but I don't know your school)

Direction of the turn

Step-by-step explanation:

Please help me!! Perimeter: about ______ ft squared
Area: about ________ ft squared

Answers

Answer:

55.1 ft ; 236.7 ft^2

Step-by-step explanation:

radius = 7.5 ft

Perimeter of the semicircles = 2 * radius * pi = 2 * 7.5 * pi = 47,12389 ft

Perimeter of the rectangle = 4 * 2 = 8 ft

Total perimeter = 55,12389 ft

Area of the semicircles = radius^2 * pi = 7.5^2 * pi = 176,714587 ft^2

Area of the rectangle = 4 * 15 = 60 ft^2

Total area = 236,714587 ft^2

mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years?

Answers

The amount would be 2,250.
Other Questions
Simplify the expression 21(2-y)+12y=44 find y state wether the product of 3 and 9 is rational or irrational. explain your answer WILL MARK BRANLIESTWhen describing a rotation, whatinformation must you include? Please help me!! Perimeter: about ______ ft squared Area: about ________ ft squared How fast much an 816kg Volkswagen travel to have the same momentum as (a) a 2650kg Cadillac going 16.0 km/h? (b) a 9080-kg truck also going 16.0 km/hr? Two different enzymes catalyze the same reaction and both exhibit the same Vmax. When Enzyme A was run with a 40 uM substrate, the initial rate (Vo) was 10 uM/min, and when g it was run with a 4 mM substrate, the Vo was 20 uM/min. Estimate the approximate Vmax and Km of Enzyme A. When Enzyme B was run with 80 uM substrate, the initial rate (Vo) was 10 uM per minute. Estimate the Km of Enzyme B. Plzzz help me with this one Question 7 of 25Which structure is used by the organism to see the outside world? mow much would 600$ invested at 8% interest compounded continuously be worth after 3 years? Express the following repeating decimal as a fraction in simplest form. Project Management Practice ProblemBraggs Bakery is building a new automated bakery downtown Sandusky. Here are the activities that need to be completed to get the new bakery built and the equipment installed. ACTIVITYPREDECESSORNORMAL TIME (WEEK)CRASH TIME (WEEK)EXPEDITING COST/WEEKA-963000BA853500CA15104000DB,C532000EC1062500FD,E215000Hint: I have directly provided the crashing cost per unit time.a. What is the normal project length?b. What is the critical path in this project?c. Which activity will you choose to crash first to reduce the duration of the project by one week?d. What is the project length if all activities are crashed to their minimum?e. What is the slack for activity D? 9 What is the volume of the cone below? * 267.95 in3 33.49 in3 133.97 in3 Why is the history of Psychology important??? Which of the following is an example of the geographic concept of space?O West Africa is a geographic region on the continent of Africa.In New York City, subway stops are placed five blocks apartChloe lives in a suburb west of Houston, Texas.Each province or territory of Canada has a capital city.The country of Kazakhstan is south of Russia. national anthem of india, chinaand brazil When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term? On the image below, which is the correct answer? A boy pushes his little brother on a sled. The sled accelerates from rest to (4 m/s). If the combined mass of his brother and the sled is (40.0 kg) and (20 W) of power is developd, how long time does boy push the sled?16s300s15s23s Which energy store is increased when an object is heated?