Find the value of x and YZ if Y is between X and Z.
XY = 4x, YZ = x, and XZ
25

Answers

Answer 1

Answer:

The value of x is 5

The length of YZ is 5 units

Step-by-step explanation:

If a point lies on a line segment, then it divides it into 2 parts, the sum of their length equals the length of the line segment

Let us use this fact to solve the question

∵ Point Y is between points X and Z

→ By using the fact above

XY + YZ = XZ

∵ XY = 4x and XZ = x

∵ XZ = 25

→ Substitute then in the equation above

4x + x = 25

→ Add the like terms in the left side

∴ 5x = 25

→ Divide both sides by 5 to find x

∵ [tex]\frac{5x}{5}[/tex] = [tex]\frac{25}{5}[/tex]

x = 5

The value of x is 5

∵ YZ = x

∵ x = 5

∴ YZ = 5

The length of YZ is 5 units


Related Questions

Carry out your immediate computations to at least 3 decimal places

Answers

.009 is the best good luck

Questions 7 & 9
For each label the “Extra Congruency Information.” Options- none, reflexive property, or vertical angles. Also label the “Postulate.” Options- SSS, SAS, ASA, AAS, HL, not congruent. (if you need help understanding please comment)

Answers

Answer:hart

Step-by-step explanation:

Triangle ADE is enlarged to form triangle ABC. What is the scale factor?
6cm,6cm,7cm,7cm,5cm,10cm

Answers

I need this answer to please when you get the answer will you let me know thank you!!
Other Questions
What areas were included in the Visigoth migration that took place from 376 to 476, illustrated here on this map?Select one:a. Europe and Asiab. Asia and Indiac. India and Europe A school gym has a width of 270 ft. Which of the following is equivalent to 270 ft?90 yd810 yd9 ydNot Here In the United Kingdom, the people vote directly for the Prime Minister who then selects the members of Parliament. true or false 8. You can help prevent fighting when you are not personally involved throughmediation and through your role as a bystander. What is a third way you can helpprevent fighting?A by telling both people involved that they are being ridiculousB by involving an adultC by offering to fight in place of someone elseD by inviting your friends to come watch The hadley cell encompasses latitudes from the equator to about 30 degrees? true false Why were Federalist leaders not satisfied with having gotten only nine states to ratify the Constitution?A. All 13 states were required to ratify the Constitution for it to go into effect.B. Without more state support, the Federalists would lose power to the Anti-Federalists.C. The Constitution included the Bill of Rights, which threatened the power of the central government.D. The country would be fragmented if New York and Virginia didnt ratify the Constitution. Please see the image below Name and describe the 4 adaptations of plants What is the purpose of application software (software that is not part of the operating system or utilities)?A. The set of minimal instructions that allows your computer to load the operating systemB. Software that coordinates the working of the pieces of the system unit (firmware and hardware)C. Programs that the user manipulates to accomplish computer-related tasks .. Why is water so abundant in our body ? What does the equation X^m= am i gay or not i really dont know Z La rutina diaria OSkill Building: Interpretive Reading or ListeningDi cules de las siguientes oraciones o preguntas usan el reflexivo.A. Tengo sed.B. No se va a duchar?C. A qu hora se visten Uds.?D. Te ests quitando los calcetines?E. No la viste ayer?F. Me levant temprano hoy.G. Comemos juntos.H. Los voy a despertar ahora. PLEASE HELP (must show work) Show all work to factor x4 - 17x2 + 16 completely. What organelle is DNA located inside? *1 pointYour answer1 pointDNA needs to make copies of itself to turn the instructions into a protein.What organelle makes protein?*Your answerExplain why DNA is known as the blueprint of life. *1 pointYour answer3 different questions What did the Inca call the hidden place they retreated to when they heard of Francisco Pizarro A. Cuzco B. Paititi C. Lima D. Parapata a 25 lb. bag of potatoes was selling for $12.00, The produce manager added a few pounds of potatoes to the bag, but did not change the price. The price of 25 lbs now was actually $10.00. How many pounds did the manager add to the bag? Theres/there are a big supermarket 2. Theres/there are two nice outdoor cafs 3. Theres no/some mall. 4. Parkview have a lot of expensive restaurant/restaurants 5. It has a couple of movie theaters/theater. cual es la correcta porfavor urgente 3The slope of the line that passes through the points (0,3) and (5, 13) is when does muscle repair typically happen? a. muscles rebuild after a workout b. while eating c. during and immediately after a hot shower d. at night while sleeping