in the diagram of rst below, m>t=90 rs=65 and st=60 what is the measure of <s to the nearest degree

Related Topics:
More Lessons for the Regents Loftier School Exam
More than Lessons for Algebra

Loftier School Math based on the topics required for the Regents Exam conducted by NYSED. The post-obit are the worked solutions for the Geometry (Common Cadre) Regents High Schoolhouse Test June 2017.

Geometry Common Core Regents New York Land Exam - June 2017

The following are questions from the past paper Regents Loftier Schoolhouse Geometry, June 2017 Exam (pdf). Roll down the page for the step by step solutions.

Geometry - June 2017 Regents - Questions and solutions 1 - 12
1 In the diagram beneath, ABC ≅ DEF.
Which sequence of transformations maps ABC onto DEF?
ii On the set of axes beneath, the vertices of PQR have coordinates P(half dozen,7), Q(ii,1), and R(1,three).
What is the area of PQR?
3 In right triangle ABC, g∠C = 90°. If cos B = 5/13, which office also equals five/13?
4 In the diagram beneath, mABC = 268°.
What is the number of degrees in the measure of ∠ABC?
5 Given MRO shown below, with trapezoid PTRO, MR = 9,MP = two, and PO = 4.
What is the length of TR?
half dozen A line segment is dilated by a scale cistron of 2 centered at a point not on the line segment. Which argument regarding the relationship between the given line segment and its paradigm is true?
seven Which figure ever has exactly four lines of reflection that map the figure onto itself?
eight In the diagram below of circle O, chord DF bisects chord BC at Due east.
If BC 12 and FE is 5 more than DE, then FE is
nine Kelly is completing a proof based on the figure beneath.
She was given that ∠A ≅ ∠EDF, and has already proven AB ≅ DE.
Which pair of respective parts and triangle congruency method would not prove ABC ≅ DEF?
ten In the diagram below, DE divides AB and AC proportionally, yard∠C = 26°, m∠A = 82°, and DF bisects ∠BDE.

Geometry Common Core June 2017

The measure out of angle DFB is
11 Which set of statements would draw a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other.
Ii. Diagonals bisect the angles from which they are drawn.
III. Diagonals form four congruent isosceles right triangles.
12 The equation of a circle is x² + y² - 12y + 20 = 0. What are the coordinates of the centre and the length of the radius of the circle?

Testify Step-by-pace Solutions

Geometry - June 2017 Regents - Questions and solutions 13 - 24
thirteen In the diagram of RST beneath, thousand∠T = 90°, RS = 65, and ST = 60.
What is the mensurate of ∠S, to the nearest degree?
14 Triangle A'B'C' is the prototype of ABC later on a dilation followed by a translation.
Which statement(s) would always exist true with respect to this sequence of transformations?
xv Line segment RW has endpoints R(-4,5) and W(six,xx). Point P is on RW such that RP:PW is 2:3. What are the coordinates of point P?
sixteen The pyramid shown beneath has a foursquare base, a height of 7, and a volume of 84.
What is the length of the side of the base?
17 In the diagram below of triangle MNO, ∠Chiliad and ∠O are bisected past MS and OR, respectively. Segments MS and OR intersect at T, and yard∠N = forty°.
If k∠TMR = 28°, the measure of bending OTS is 18 In the diagram beneath, right triangle ABC has legs whose lengths are 4 and 6.
What is the volume of the three-dimensional object formed by continuously rotating the correct triangle around AB?
19 What is an equation of a line that is perpendicular to the line whose equation is 2y = 3x - x and passes through (6,i)?
twenty In quadrilateral Blue shown below, BE ≅ UL.
Which information would be sufficient to prove quadrilateral Bluish is a parallelogram?
21 A ladder 20 anxiety long leans against a edifice, forming an bending of 71° with the level ground. To the nearest human foot, how high up the wall of the edifice does the ladder touch the edifice?
22 In the two singled-out acute triangles ABC and DEF, ∠B ≅ ∠E. Triangles ABC and DEF are congruent when in that location is a sequence of rigid motions that maps
23 A fabricator is hired to brand a 27-foot-long solid metal railing for computations. the stairs at the local library. The railing is modeled by the diagram below. The railing is 2.5 inches loftier and two.5 inches wide and is comprised of a rectangular prism and a half-cylinder.
How much metal, to the nearest cubic inch, will the railing contain?
24 In the diagram below, AC 7.two and CE two.4.
Which statement is not sufficient to prove ABC ∼ EDC?

Show Step-past-stride Solutions

Geometry - June 2017 Regents - Questions and solutions Parts 2-4
25 Given: Trapezoid JKLM with JK || ML
Using a compass and straightedge, construct the distance from vertex J to ML.
[Go out all construction marks.]
26 Determine and state, in terms of π, the area of a sector that intercepts a 40° arc of a circumvolve with a radius of 4.5. 27 The diagram below shows two figures. Effigy A is a right triangular prism and figure B is an oblique triangular prism. The base of figure A has a height of 5 and a length of 8 and the height of prism A is fourteen. The base of figure B has a elevation of 8 and a length of five and the height of prism B is 14.
Use Cavalieri's Principle to explain why the volumes of these 2 triangular prisms are equal.
28 When volleyballs are purchased, they are non fully inflated. A partially inflated volleyball can be modeled past a sphere whose volume is approximately 180 inⁱⁱⁱ. After being fully inflated, its book is approximately 294 in^three. To the nearest 10th of an inch, how much does the radius increment when the volleyball is fully inflated?
29 In right triangle ABC shown below, altitude CD is drawn to hypotenuse AB. Explain why ABC ∼ ACD.
30 Triangle ABC and triangle DEF are drawn beneath.
If AB ≅ DE, AC ≅ DF, and ∠A = ∠D, write a sequence of transformations that maps triangle ABC onto triangle DEF.
31 Line northward is represented by the equation 3x + 4y = 20. Determine and state the equation of line p, the image of line n, subsequently a dilation of scale factor 1/3 3 centered at the point (4,ii).
[The utilize of the fix of axes below is optional.]
Explain your reply.
32 Triangle ABC has vertices at A(-5,2), B(-four,seven), and C(-2,seven), and triangle DEF has vertices at D(3,2), Due east(2,7), and F(0,vii). Graph and label ABC and DEF on the set of axes below.
Determine and state the single transformation where DEF is the image of ABC.
Employ your transformation to explicate why ABC ≅ DEF.
33 Given: RS and Tv set bifurcate each other at point Ten
TR and SV are drawn
Testify: TR || SV
34 A gas station has a cylindrical fueling tank that holds the gasoline for its pumps, as modeled beneath. The tank holds a maximum of 20,000 gallons of gasoline and has a length of 34.5 feet.
A metal pole is used to measure how much gas is in the tank. To the nearest tenth of a foot, how long does the pole need to be in order to achieve the bottom of the tank and even so extend one foot exterior the tank? Justify your answer. [ane ft³ 7.48 gallons]
35 Quadrilateral PQRS has vertices P(-2,3), Q(3,8), R(four,1), and Due south(-1,-4).
Prove that PQRS is a rhombus.
[The use of the set of axes on the side by side folio is optional.]
Prove that PQRS is not a square.
[The employ of the set of axes below is optional.]
36 Freda, who is preparation to use a radar system, detects an airplane flying at a constant speed and heading in a straight line to pass directly over her location. She sees the plane at an angle of height of fifteen° and notes that information technology is maintaining a constant distance of 6250 feet. One minute subsequently, she sees the airplane at an angle of peak of 52°. How far has the aeroplane traveled, to the nearest foot?
Decide and state the speed of the aeroplane, to the nearest mile per hour.

Show Step-past-step Solutions

Endeavor the complimentary Mathway computer and problem solver beneath to practice various math topics. Try the given examples, or type in your own trouble and bank check your respond with the step-by-step explanations.
Mathway Calculator Widget