Question:What is the value of x, given PQ || BC? Triangle: A, B, C with bisector PQ. AP = 8, PB = x, AQ = 12, QC = 18 The Similar Triangle:If two triangles are said to be similar when their angles are congruent but in different sizes. The basic property of a similar triangle is the length of the sides of the corresponding triangles are proportional to each other. Answer and Explanation: 1Given that {eq}PQ || BC {/eq} and triangle: A, B, C with bisector PQ. The points are: {eq}AP = 8, \\ PB = x, \\ AQ = 12, \\ QC = 18 {/eq} From the given information, we obtain that the triangles {eq}\text{ABC and APC} {/eq} are similar. By similar triangle: {eq}\frac{AP}{PB}=\frac{AQ}{QC} {/eq} Let us apply the given values in the above property to find the value of {eq}x {/eq}: {eq}\begin{align*} \frac{AP}{PB} &=\frac{AQ}{QC} \\[0.3cm] \frac{8}{x} &=\frac{12}{18} \\[0.3cm] 8 \cdot \:18 &=x \cdot \:12 & [\text{By cross Multiplication} ] \\[0.3cm] x\cdot \:12 &=144 \\[0.3cm] x&=12. \end{align*} {/eq} Hence, {eq}\color{blue}{PB=12.} {/eq} Learn more about this topic: Similar Triangles: Definition, Formula & Properties from Chapter 8 / Lesson 28 Learn what similar triangles are. Study the definition of similar triangles, identify properties of similar triangles, and solve similar triangles equations. Related to this QuestionExplore our homework questions and answers libraryRelated Geometry Q&AFind answers to questions asked by students like you. Q: Q3) For what values of a and b are -x* +а, xsin + 1 0<xs y = bx3 + 2 , Continuous at every x ? A: Explanation of the answer is as follows Q: f the coefficient of simple determination (R ) is 0.85, we can appropriately conclude that A: Click to see the answer Q: To show that ANMQ = AQPN by SAS, what must be the value or x? N P 51° 5х- 1 3x + 5 51° X = Q A: We have to find x Q: What is Ar as x goes from r=2 to r= 5? A: Given: f(x)=5x+3 Q: b) 1 -dr+ 1 -dr = In a, V9+ 4x? Given that find the exact value of a. V16+9x? AD (7 A: Click to see the answer Q: In the table of values used to sketch 2sec(x/2), if the first x-value is 0, what is the second x-… A: Click to see the answer Q: 12. If ABCD ~ AGEF, find the value of x. F C x + 4 57 2r - 7 D E 51 A: The triangles with △BCD ~ △GEF is given by To evaluate : The value of x Q: e fr) = g(x), to the nearest fenth, where f(x) = -x2_ 15 + 18 ana ) is shown below, 24 A: Given: f(x)=-34x2-15x4+18 Q: for f(2,54) = 6.10, p >.01, what is the value of the df totoal A: Solution Given f(2,54) = 6.10, p >.01, Q: (d) Find the value of x such that P(X < x) = 0.95. ( A: Given that X follows Exponential(mean = 16) Q: Find the value of x to make p | q. 4. X=. (5x + 5) (2x+26)° A: Explanation: To make line p and q parallel, equate both the angles. 2x+26=5x+5 Now solve for x… Q: Is the equation Bx = p consistent for all p in R^4? Explain. A: Not consistent for all p in R4. Q: Determine the value of x that will make DE IAB on the diagram below. 25 D 12 A 20 A: Click to see the answer Q: What is the value of x that makes AB|CD? A+ (2x + 40) B (3x+10) C OA. 42 Ов. 26 Ос. 100 OD. 30 A: Click to see the answer Q: P Find of h and k consistent that The value makes the mahoive +6xa =Dh -3x2 - Sxd A: Click to see the answer Q: 2) Given: MLAOC 150 SH (2x)°B 6(x-3)° Find the value of x. x = A: we have been given a figure. and it has been also given that m∠AOC=150 and ∠AOB=2x and ∠BOC=6x-3 Q: To show that ANMQ = AQPN by SAS, what must be the value or x? N P 51° 5х- 1 Зх + 5 51° X = M Q A: We have to find x Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8. A: We have to find the value of c. Q: a4)Giveni mel=x,mca=4y ,mL3=ay ,met=2x-yšto. Find: XN,and m25 (minus) 3\4 A: Click to see the answer Q: 2. Use the figure to find the values of x, y, and z that makes ADEF ~ AHGF. 25 16 X-5 F Зу H. 14… A: We need to use similar triangles formulaes to solve this question. Q: Find d.r for r 3 (VAr? - I) A: Click to see the answer Q: If q is positive, then what is the value of g? 4 %3D 16 %3D A: 4/q = q/16 after cross multiplying Q: What additional information would be needed in order to prove A CAT = A DOG by Side-Side-Side (SSS)?… A: Given that △CAT≅△DOG by side-side-side(SSS) write down the additional information to be needed to… Q: Find the exact values of x and r. (x, r) = 24 30 X A: Click to see the answer Q: 3x is to 2 as 9 is to 2. What is x: 3? A: Given: 3x:2=9:2 3x2=92 Q: c) Given that x 5 wher A: The given differential equation is eydydx=2x-4 .....................(1) It is also given that, x=5,… Q: 4x V 7x + 10 R /hat is the value of x? A: We will find the value of x as following. Q: cx? if – a (x) = 0 otherwise a = 3.89, what is c? A: The probability density function f(x) has the property that the total area under the density… Q: For what values of x is a. [x] = 0? b. [x] = 0? A: Click to see the answer Q: For what value of x will AEFG ~ AABC be a true statement? 2. 7x 4x+9 32 E 32 25 35 A: Click to see the answer Q: Find the value of x for which { i m. A: Click to see the answer Q: Find the length of QS R x +5 A: For similar triangle, ratio of corresponding sides must be equal. Q: Given that / f(æ)dæ 57 what is 13 | f(w)dw? answer - A: Solve the following Q: 7. Given AXPS ADNF, find the values ofx and y. F 4y - 3 54 51 D. S. 57 17x + 3 A: Click to see the answer Q: The y's have been eliminated. What is the value of x? 2x = 13 3x + 2y = 9 -X - 2y = 4 x [?] %3D А.… A: Click to see the answer Q: Which is the greatest value in the range of y=-5x +3 for the domain (-2,0, 1, 3}? 3. 8. 13 18 OO O O A: Click to see the answer Q: What value of p makes this equation true? 14+7p 7p= 117 1/2 O O O A: we have given an equation. We have find the value of p. Q: Which of the following is an irrational mumber? LA) V3 B) V400 C) 5.7 D) 11 A: An Irrational Number is a real number that cannot be written as a simple fraction. Q: = R?, where W at the point en the value A: Click to see the answer Q: step by step please A: Given, Q: 7. Given AXPS = ADNF, find the values of x and y. P F 4y - 3 54 51 D 17r + 3 N' 57 A: Recall: Two triangles are congruent then their corresponding sides are equal in length |
What is the value of x given that pq bc
Related Posts
Copyright © 2024 ketiadaan Inc.
