2. If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are 3. If two angles of one triangle are another triangle, then the triangles are similar. to two angles of
Q: Example 2. Given A MNP - A HKG, MN = 6, NP = 4, MP = 8 %3D 2022/04/09 13:16 H. a. Find all the sides…
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Q: If two triangles have one pair of congruent sides and two pairs of corresponding proportional sides,…
A: solution
Q: 1. If the difference between two supplementary angles is 34°, find the angles.
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Q: 2. If the length of the hypotenuse of a 45°-45°-90° right triangle is 6 cm, find the measure of its…
A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…
Q: In what ratio is the joint of A(3,-1) and B(-7,9) divided by the point P(-1,b)Hence find the value…
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Q: Given two circles, how many tangent lines can be drawn that are common to both, i.e. tangent to both…
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Q: The converse of the corresponding angles Theorum states that if two coplanar lines are cut by a…
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Q: If two lines are cut by a transversal and same-side interior angles are complementary, then the…
A: Given: If two lines are cut by a transversal and same-side interior angles are complementary, then…
Q: What is true about corresponding angles? O Their angles sum up to 360 degrees. O Their angles sum up…
A: Here 3z=z+22 or 3z-z=22 or 2z=22 or z=11 The given triangles are similar. So,…
Q: 2. If there are two equal angles in a given triangle, then their corresponding opposite sides must…
A: The method of contradiction can be used to prove that the assumption made by the opposite is true.…
Q: The points M, N, O and P all lie on the same line segment, in that order, such that the ratio of…
A: Given, MN:NO:OP is equal to 3:2:3. So, we know that MP is the longest segment and the other…
Q: If the ratio of the greater angle between diagonals of a rectangle to the smaller angle is 2: 1 and…
A: If the ratio of the greater angle between diagonals of a rectangle to thesmaller angle is 2: 1 and a…
Q: In obtuse-angled triangles the square on the side subtending the obtuse angle is greater than the…
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Q: Give a reason why line x is parallel to line y. * A. If two lines are cut by a transversal and a…
A: We have to find the reason that why given two lines are x and y parallel to each other.
Q: What triangle similarity theorem states that "If an angle of one triangle is congruent to an angle…
A: As per company guidelines we can solve first question. I hope that the given solution will help you.…
Q: If there are two equal angles in a given triangle, then their corresponding opposite sides must be…
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Q: A convex quadrilateral has angles in the ratio 1:2:x:4. Give all possible integer values of x.
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Q: When two parallel lines are cut by a transversal, 1 and z5 are a pair of corresponding angles that…
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Q: If two angles and the included side of one triangle are congruent to two angles and an included side…
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Q: The Distance from P( 5,3) to Q(2,-1) is
A: Compute the distance between x1, y1, x2, y2: x2-x12+y2-y12The distance between 5, 3 and 2, -1 is…
Q: The Law of Cosines must be used when only the measures of two sides and the included angle are known
A: Law of cosines
Q: In isosceles triangle RST, like segment RS is congruent to line segment ST. If measure of angle…
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Q: In the diagram below, line 1 is parallel to line 2, and line 3 is parallel to line 4, resulting in…
A: We need to find the concurrent angles in the above figure.
Q: the distance from (2,x) to (4,3) is 2, what is x?
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Q: On a set of parallel lines cut by a transversal, m<2 =(7x-5) and m<6 = (x + 25) . Which value of x…
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Q: 1. Which of the following is always true about two figures that are similar? (1) their corresponding…
A: The two figure are similar if the ratio of their corresponding two sides is equal and also, the…
Q: What is true about supplementary angles? Two adjacent angles that add up to 90 degrees. Two…
A: We can check whether two angles are supplementary by using the sum of the angles .
Q: Given two sets of parallel lines in the diagram below, what is the relationship between Đ6 and Đ15?…
A: Question is related to angle of parallel lines.
Q: then what is the ratio of the areas of these triangles.
A: Given, Ratio of corresponding sides of two similar triangle = 3 : 5
Q: Question 2: In Fig. 1, ZAOC and ZDOP are ZBPF and 2OPF are a. vertically opposite angles,…
A: Given: The figure To find: The relation between the angles 1. ∠AOC and ∠DOP 2. ∠BPF and ∠OPF
Q: When two lines intersect, four angles are formed. It is not hard to believe that the nonadjacent…
A: Given: Two line are intersecting each other. To prove: The nonadjacent angles are congruent.
Q: Prove If a line is drawn parallel to one side of a triangle to intersect the other two points .The…
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Q: 1. Draw two intersecting lines and label the resulting angles with the numbers 1, 2, 3, and 4. 2.…
A: As this is a multiple question according to the Bartleby Answering rule, only first question and its…
Q: Two triangles are similar, and the ratio of each pair of corresponding sides is 2:1. Which statement…
A: Option 4 is not true. If two triangles are similar than their sides in same ratio. Area = base…
Q: If an angle measures more than 90°,then it is not acute.
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Q: There are two horizontal lines parallel to each other. And a third line is intersecting them as…
A: There are two horizontal lines parallel to each other. A third line is intersecting them as shown…
Q: According to the orthodontist, the ratio of the width of the smile to the third tooth from the…
A: Given that, According to the orthodontist, the ration od the width of the smile to the the third…
Q: Two triangles are ___________ if corresponding angles are equal and the lengths of the corresponding…
A: Recall that for similar triangles the measure of corresponding angles in both the triangles be…
Q: When two parallel lines are cut by a single transversal total angles are formed Allot the angle…
A: To solve the following
Q: Prove that if the ratio of corresponding sides of two similar triangles is k, then the ratio of the…
A: It is needed to prove that if the ratio of corresponding sides of two similar triangles is k, then…
Q: If angles are supplementary and adjacent, which statement about the two angles is true?
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Q: If Z1 and 2 are complementary angles in a ratio of 5 : 13, what is the measure of the smaller angle?
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Q: If two parallel lines are cut by a transversal, then alternate interior angles are___
A: Given: Two parallel lines are cut by a transversal.
Q: when two angles of a triangle are congruent to two corresponding angles of another triangle, the…
A: Please refer the attached image for complete solution. Thank You.
Q: 14. In ARST, if mZR is five more than twice x, mZS is one more than x, and mZT is sixteen less than…
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Q: S dan?, x Seck olx
A: We will solve the problem
Q: 1. In this theorem, the similarity between two triangles are determined when two sides of one…
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Q: According to the Angle-Angle Similarity Postulate, if two triangles have two corresponding angles…
A: If two angles of a triangle are congruent to two angles of another triangle, then the two triangles…
Q: Prove that if two triangles are similar their heights are in the same proportion as their sides.
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Q: 4. If m2 = 90° and 21 and 23 are congruent, what are the measures of the unknown angles? Select all…
A: First we will find the all angles as shown below and then check the given options
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- A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects of 40 taxis and finds the average age of the taxis is 8.2 years. The of the population is 2.3 years. At can it be concluded that the average age of the taxis in his company is less than the national average?Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 568 randomly selected adults showed that 62% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. b. Identify the null and alternative hypotheses.Calculate a point estimate of the strength valuethat sep arates the weakest 50% of all such beamsfrom the strongest 50%, and state which estimatoryou used.
- Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 491491 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.Claim: A minorityof adults would erase all of their personal information online if they could. A software firm survey of 611 randomly selected adults showed that 37% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information. b. Identify the null and alternative hypotheses.Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 636 randomly selected adults showed that 58% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
- 2. Are the strengths of Alloy A more consistent than Alloy B?A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of theprobability that the number landing face up will be less than 3 ?(A) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3.(B) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2.(C) For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.(D) For three rolls of the die, a number less than 3 will land face up one time.(E) It will take three rolls of the die before a number less than 3 lands face up for the first time.Claim: A minority of adults would erase all of their personal information online if they could. A software firm survey of 572 randomly selected adults showed that 41% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below. a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.
- In rolling a fair die once, what is theprobability of rolling a 2 or an oddnumber? show solution1. We poll 450 people and find that 30% favor Candidate S. In order to estimate with 90% confidence what percent of ALL voters would vote for Candidate S, we should use: 2-SampTInt 2-SampZInt 2-PropZInt TInterval 1-PropZInt ZInterval 2. We poll 550 people and find that 50% favor Candidate S. In order to estimate with 99% confidence the percent of ALL voters would vote for Candidate S, we should use: 2-PropZInt TInterval 2-SampZInt 2-SampTInt 1-PropZInt ZIntervalAn Army Commanding Officer has a patrol duty roster for 2 combat team and flip a coin for any combat team that to go patrol duty, this coin may or may not be fair. The results of 30 patrol duty of the 2 combat team Blue (B) and Red (R) accrording to those coin are B B R B R B B R B B R B B R B R B B B R R R R R B B B B B R. Using the critical value approach, appropriate conclusion is ________. A) do not reject the null hypothesis; we cannot conclude the coin is not fair B) reject the null hypothesis; we can conclude the coin is not fair C) reject the null hypothesis; we cannot conclude the coin is not fair D) do not reject the null hypothesis; we can conclude the coin is not fair Explaine your answer