which lines are parallel justify your answer

A soldier, for example, enters a shop, buys some trifling object, and stays there... 130 lb = kg? I. Lines on a writing pad: all lines are found on the same plane but they will never meet. Answers: 2 Show answers Another question on Mathematics. Two lines cut by a transversal line are parallel when the alternate exterior angles are equal. Your town charter states that at least 20% (0.20) of the town council members must be local business owners. We can be the solution. Let’s go ahead and begin with its definition. Example 4, In the figure, line m is parallel to line n, and line q is perpendicular to line p. The measure of Zl is 400. Examples of Parallel Lines. Explain your answer. If the lines intersect, find the point of intersection. By using this site, you consent to the use of cookies. The hands of a clock, however, meet at the center of the clock, so they will never be represented by a pair of parallel lines. The two lines are parallel if the alternate interior angles are equal. It is transversing both of these parallel lines. 1 1 2 3/4 7 8 r 5/6 >> S 1 m - the answers to estudyassistant.com Are the two lines cut by the transversal line parallel? The two angles are alternate interior angles as well. Which of these inferences about the soldiers is best supported by the passage below (paragraph 5)? $\begin{aligned}3x – 120 &= 3(63) – 120\\ &=69\end{aligned}$. This shows that the two lines are parallel. a) f(-3) b) g(0) c) 2f(x) - g(x) d) g(2k-1) I (4 points) Mathematics, 21.06.2019 15:00. a. the town council currently has 6 business owners out of a total of 30 members. &1 and &3 are adjacent angles. 8. This means that the actual measure of $\angle EFA$  is $\boldsymbol{69 ^{\circ}}$. - e-eduanswers.com Points and Slopes: Finding Unknown. Since the lines are parallel and $\angle 1 ^{\circ}$ and $\angle 8 ^{\circ}$ are alternate exterior angles, $\angle 1 ^{\circ} = \angle 8 ^{\circ}$. You can refuse to use cookies by setting the necessary parameters in your browser. Now that we’ve shown that the lines parallel, then the alternate interior angles are equal as well. Find the missing coordinate in each problem. Consecutive exterior angles are consecutive angles sharing the same outer side along the line. Lines Parallel Problem 2 Identifying Parallel Lines Which lines are parallel if ∠1 ≅∠2? since the dots are going down, therefore the correlation is negative. Since it was shown that  $\overline{WX}$ and $\overline{YZ}$ are parallel lines, what is the value $\angle YUT$ if $\angle WTU = 140 ^{\circ}$? In coordinate geometry, when the graphs of two linear equations are parallel, the. What property can you use to justify your answer? OQ is the perpendicular bisector because it is the line that has a 90 degree angle off of MN. We won't spam you. Note: Parallel lines are not automatically congruent; don't confuse length with slope. Two lines cut by a transversal line are parallel when the corresponding angles are equal. 2. Which lines are parallel justify your answer. 13. We’ll learn more about this in coordinate geometry, but for now, let’s focus on the parallel lines’ properties and using them to solve problems. Example: $\angle b ^{\circ} = \angle f^{\circ}, \angle a ^{\circ} = \angle e^{\circ}e$, Example: $\angle c ^{\circ} = \angle f^{\circ}, \angle d ^{\circ} = \angle e^{\circ}$, Example: $\angle a ^{\circ} = \angle h^{\circ}, \angle b^{\circ} = \angle g^{\circ}$. Find each of the following. it is a strong negative correlation, and it is likely causal. Substitute this value of $x$ into the expression for $\angle EFA$ to find its actual measure. 2. This is a transversal. Justify your answer. True or False? Two lines, a and b, are cut by a transversal t. &1 and &2 are any pair of corresponding angles. two lines will be parallel if they differ only in the value of c. They will be perpendicular if the second line is of the form.. bx - ay = c'... where c' is a constant that may be different from c. The path of two cars driving eastbound on Interstate 10 Directions: Determine which lines or segments are parallel and justify your answer with a theorem or postulate . D) Lines e and f are parallel because their same side … Go back to the definition of parallel lines: they are coplanar lines sharing the same distance but never meet. O Lines p and q are parallel because alternate exterior angles ar - edu-answer.com B) Lines a and b are parallel because their same side exterior angles are congruent. Question 3 (1 point) begin by writing down the "standard" parametrization of ∂m as a function of the angle θ (denoted by "t" in your answer) 4. 4. Justify your answer. 4x+54=90 4x= 36 x=9 //// 4y-19 = y+23 3y=42 y=14 Draw an example of each of the following: The angles that are formed at the intersection between this transversal line and the two parallel lines. 11. Parallel lines are lines that are lying on the same plane but will never meet. If the lines $\overline{AB}$ and $\overline{CD}$ are parallel, identify the values of all the remaining seven angles. Which representation has a constant of variation of -2.5, The pyramid below was dissected by a horizontal plane which shape describes the pyramid horizontal cross section. Prove that the lines are parallel or perpendicular. ∠1 and ∠2 are corresponding angles. I... Gordon is going for a run through the park, but it is cold outside. $45.00 an hour. L: x= 3 + 2t, y = 4-t, z = 1+ 3t Lz; x = 1 + 4s, y = 3 - 2s, z = 4 + 5s Where To Download Parallel And Perpendicular Lines Investigation Answer Sheet Parallel And Perpendicular Lines Investigation Answer Sheet Right here, we have countless books parallel and perpendicular lines investigation answer ... but you simply cannot justify the cost of purchasing your own booth, give us a call. $(x + 48) ^{\circ} + (3x – 120)^{\circ}= 180 ^{\circ}$. $16:(5 Each step is parallel to each other because the corresponding angles are congruent. 28 Z19 Alternate Interior Angles Converse 之13 215 Corresponding Angles Converse m29+mZ21 =180 m26+mz19 = 180 212223 m214+m2 15 = 180 20 3. Angles on the same side of the transversal are called same-side angles. Parallel lines are equidistant lines (lines having equal distance from each other) that will never meet. XY =10, So, MY = 10 – 8 =2. Given: line Li: passes through the points (3,-5) and (2, -3) line L2: passes through the points (0,4) and (2,3) Are lines L, and L2 parallel, perpendicular, or neither? Recall that two lines are parallel if its pair of alternate exterior angles are equals. Since $a$ and $c$ share the same values, $a = c$. The plummber charged $65.00 to come to our house and O Lines p and q are parallel because same side interior angles are congruent. And what I want to think about is the angles that are formed, and how they relate to each other. Screen_Shot_2020-10-19_at_7.04.33_AM.png - Which lines or segments are parallel Justify your answer 2 B D A A A C E 3 J K L M 4 U 102\u00b0 68\u00b0 5 T o P o N Example: $\angle c ^{\circ} + \angle e^{\circ}=180^{\circ}$, $\angle d ^{\circ} + \angle f^{\circ}=180^{\circ}$. If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into segments of proportional lengths. Solve for NZ. Use the image shown below to answer Questions 4 -6. When working with parallel lines, it is important to be familiar with its definition and properties. Two lines cut by a transversal line are parallel when the alternate interior angles are equal. For example, Figure 4 shows the graphs of various lines with the same slope, [latex]m=2[/latex]. Understanding what parallel lines are can help us find missing angles, solve for unknown values, and even learn what they represent in coordinate geometry. In the next section, you’ll learn what the following angles are and their properties: When two lines are cut by a transversal line, the properties below will help us determine whether the lines are parallel. Parallel Lines – Definition, Properties, and Examples. Since parallel lines are used in different branches of math, we need to master it as early as now. m&1 = 2x - 38, m&2 = x, and m&3 = 6x + 18. a. Divide both sides of the equation by $4$ to find $x$. … (notice the angles are between the 2 parallel lines) (notice the angles are outside the 2 parallel lines) 5. Directions: Find the value of x that will ensure at. Use the Triangle Proportionality Theorem. b. C) Lines e and f are parallel because their corresponding angles are congruent. Consecutive exterior angles add up to $180^{\circ}$. What property can you use to justify your answer? 18 22 10 14 15 19 23 17 11 24 12 16 4 Angle Relationship Parallel Lines? Correct answer to the question Need ASAP Which lines are parallel if m<4 = m<5? Justify your answer. EXERCISE 6.2 1. Add $72$ to both sides of the equation to isolate $4x$. ANSWER: 24 eSolutions Manual - Powered by Cognero Page 1 7-4 Parallel Lines and Proportional Parts Find x and y. Determine if the following two lines are parallel, skew, or intersecting. 1. Which of the following questions would be used to analyze diction? Which of the following term/s do not describe a pair of parallel lines? Hence,  $\overline{AB}$ and $\overline{CD}$ are parallel lines. Justify your answer. Lines a and b are parallel because their corresponding angles are congruent. The two angles are alternate interior angles as well. Pedestrian crossings: all painted lines are lying along the same direction and road but these lines will never meet. Let’s summarize what we’ve learned so far about parallel lines: The properties below will help us determine and show that two lines are parallel. Prove the Relationship: Equations and Slopes. Which of the following real-world examples do not represent a pair of parallel lines? Let’s try to answer the examples shown below using the definitions and properties we’ve just learned. Draw and label a diagram for the figure described. Since $a$ and $c$ share the same values, $a = c$. When a line intersects two parallel lines, the corresponding angles are equal. In general, they are angles that are in relative positions and lying along the same side. These are some examples of parallel lines in different directions: horizontally, diagonally, and vertically. Lines that are parallel to each other will never intersect. Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the positive x direction, and f= x^5,0,y^1 . This means that $\boldsymbol{\angle 1 ^{\circ}}$ is also equal to $\boldsymbol{108 ^{\circ}}$. Are some words nonliteral or figurative? it is a weak negative correlation, and it is likely causal. The options in b, c, and d are objects that share the same directions but they will never meet. Solution. 6.4 will ABC be a line? Use the image shown below to answer Questions 9- 12. The image shown to the right shows how a transversal line cuts a pair of parallel lines. Example: $\angle a^{\circ} + \angle g^{\circ}=$180^{\circ}$, $\angle b ^{\circ} + \angle h^{\circ}=$180^{\circ}$. Use the diagram above to determine which lines, if any, are parallel. Before we begin, let’s review the definition of transversal lines. When a pair of parallel lines are cut by a transversal line, different pairs of angles are formed. Answer: 2 question Which lines are parallel if m2 4=m2 5? ★★★ Correct answer to the question: Р 9 130° which lines are parallel? b. does this ratio satisfy the 20% rule? Alternate exterior angles are a pair of angles found in the outer side but are lying opposite each other. Measuring Angles. Determine whether lines a and b are parallel. The two pairs of angles shown above are examples of corresponding angles. 12. Jamies mom called the plummber to come to her house to fix the toilet. The angles  $\angle EFA$ and $\angle EFB$ are adjacent to each other and form a line, they add up to  $\boldsymbol{180^{\circ}}$. 13 17\21 6. Fill in the blank: If the two lines are parallel, $\angle c ^{\circ}$, and $\angle g ^{\circ}$ are ___________ angles. If two lines are crossed by a transversal and the alternate exterior angles are congruent, then the lines crossed by the transversal are parallel. The two lines are parallel if the alternate interior angles are equal. Two lines cut by a transversal line are parallel when the sum of the consecutive exterior angles is $\boldsymbol{180^{\circ}}$. Are the two lines cut by the transversal line parallel? Explain your answer. Justify your answer. Since the measures of angles are equal, the lines are parallel. Justify your answer. Propor... View a few ads and unblock the answer on the site. You will receive an answer to the email. Justify your answer. (8 points) 5) Let f(x) = x2 - 4x + 1 and g(x) = 2x – 1. Parallel lines can intersect with each other. the answer is in the first quadrant, which make the y-int positive. What is the measure of Z7? Refer to Page 212. Justify your answer. Consecutive interior angles add up to $180^{\circ}$. 10. Make sure to justify your answer. Transversal lines are lines that cross two or more lines. https://quizlet.com/500231617/proving-lines-parallel-flash-cards If $\angle WTU$ and $\angle YUT$ are supplementary, show that $\overline{WX}$ and $\overline{YZ}$ are parallel lines. Which best describes the strength of the correlation, and what is true about the causation between the variables? 20 ! it is a strong negative correlation, and it is not likely causal. Figure 3.7. Converse Theorem. If  $\angle STX$ and $\angle TUZ$ are equal, show that $\overline{WX}$ and $\overline{YZ}$ are parallel lines. Alternate interior angles are a pair of angles found in the inner side but are lying opposite each other. Hence,  $\overline{WX}$ and $\overline{YZ}$ are parallel lines. If $\overline{WX}$ and $\overline{YZ}$ are parallel lines, what is the value of $x$ when $\angle WTU = (5x – 36) ^{\circ}$ and $\angle TUZ = (3x – 12) ^{\circ}e$? 55. Solution : In general, the two lines will not be parallel, because the sum of the two equal angles will not always be 180°. 16 points The angles $\angle 4 ^{\circ}$ and $\angle 5 ^{\circ}$ are alternate interior angles inside a pair of parallel lines, so they are both equal. Please help me this is due at 11:59. Lines will be parallel when each equal angle is equal to 90°. Question: Which lines are parallel? Plz HELP, I’m DESPERATE Justify your answer. The angles $\angle 1 ^{\circ}$ and  $\angle 8 ^{\circ}$ are a pair of alternate exterior angles and are equal. Recall that two lines are parallel if its pair of consecutive exterior angles add up to $\boldsymbol{180^{\circ}}$. Equate their two expressions to solve for $x$. Converse of the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel. a) m=3/4 and m=12/16 b) m=10 and m = -0.1 (6 pts.) d. Vertical strings of a tennis racket’s net. Question sent to expert. 3. Using the same graph, take a snippet or screenshot and draw two other corresponding angles. Putting together the alternate exterior angles theorem and its converse, we get the biconditional statement: Two lines crossed by a transversal are parallel if and only if alternate exterior angles are congruent. The slopes of the lines are given. Several geometric relationships can be used to prove that two lines are parallel. All of the lines shown in the graph are parallel because they have the same slope and different y-intercepts. Divide both sides of the equation by $2$ to find $x$. We value your privacy. 5. Characteristics of Parallel Lines. Another important fact about parallel lines: they share the same direction. $16:(5 r || s; Sample answer: The corresponding angles are congruent. Roadways and tracks: the opposite tracks and roads will share the same direction but they will never meet at one point. If the lines $\overline{AB}$ and $\overline{CD}$ are parallel and $\angle 8 ^{\circ} = 108 ^{\circ}$, what must be the value of $\angle 1 ^{\circ}$? How are the words, phrases, and clauses connected? A set of parallel lines never intersect. Consecutive interior angles are consecutive angles sharing the same inner side along the line. it is a weak negative correlation, and it is not likely causal. -Write a summary of “Saint of the day” saint Joseph Cupertino from catholic. If $\angle 1 ^{\circ}$ and  $\angle 8 ^{\circ}$ are equal, show that  $\angle 4 ^{\circ}$ and  $\angle 5 ^{\circ}$ are equal as well. the lines which donot meet each other at any point this type of lines are parallel, idk bring the function back   im not smart. 3. If ∠WTS and∠YUV are supplementary (they share a sum of 180°), show that WX and YZ are parallel lines. 1. In these pdf worksheets, the relation between the lines is given. 6. II. The angles $\angle WTS$ and $\angle YUV$ are a pair of consecutive exterior angles sharing a sum of $\boldsymbol{180^{\circ}}$. Using the same figure and angle measures from Question 7, what is the sum of $\angle 1 ^{\circ}$ and $\angle 8 ^{\circ}$? State the converse that justify your answer. Parallel lines have the same slope and different y-intercepts. Add the two expressions to simplify the left-hand side of the equation. A) Lines a and b are parallel because their corresponding angles are congruent. 5. Fill in the blank: If the two lines are parallel, $\angle b ^{\circ}$, and $\angle h^{\circ}$ are ___________ angles. Justify your answer. Decide if the lines in each pair are parallel, perpendicular, or neither, and justify your answers. write this ratio as a decimal. This shows that the two lines are parallel. Two lines cut by a transversal line are parallel when the sum of the consecutive interior angles is $\boldsymbol{180^{\circ}}$. Give the Converse Theorem to justify your answer. This is a transversal line. If. Mathematics, 21.06.2019 12:40, kaylaamberd. Justify your answer. Isolate $2x$ on the left-hand side of the equation. Give reason for your answer. Please and thank you​. These different types of angles are used to prove whether two lines are parallel to each other. round to the nearest hundredth. Justify your answer. 5. Since the lines are parallel and $\boldsymbol{\angle B}$ and $\boldsymbol{\angle C}$ are corresponding angles, so $\boldsymbol{\angle B = \angle C}$. The angles $\angle EFB$ and $\angle FGD$ are a pair of corresponding angles, so they are both equal. Will the two lines always be parallel? I’ll mark as BRANLIEST $16:(5 This means that $\angle EFB = (x + 48)^{\circ}$. Fill in the blank: If the two lines are parallel, $\angle c ^{\circ}$, and $\angle f ^{\circ}$ are ___________ angles. 3x-6= 21 3x=27 x=9 //// 4y-2= 90 4y=92 y=23 Find x and y. Which lines are parallel justify your answer... And millions of other answers 4U without ads, Add a question text of at least 10 characters. 3. then l ∥ m. 7. Example 4 Determine whether lines r and s are parallel. Are the two lines cut by the transversal line parallel? Use this information to set up an equation and we can then solve for $x$. If the two lines are parallel and cut by a transversal line, what is the value of $x$? Notation: Line A ll Line B (Line A is parallel to Line B.) A set of parallel lines have the same slope. For what value of x + y in Fig. This shows that parallel lines are never noncoplanar. 4. Justify your answer. If $\overline{AB}$ and $\overline{CD}$ are parallel lines, what is the actual measure of $\angle EFA$? If ∠1 ≅∠2, then a ǁ b by the Converse of the Corresponding Angles Theorem. They all lie on the same plane as well (ie the strings lie in the same plane of the net). Answers: 2 Get Other questions on the subject: Mathematics. 4. 9.

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