Theme: Triangles...
  • A triangular region of the community college parking lot was measured. The measure of the first angle of this triangle is double the measure of the second angle. The measure of the third angle is 19° greater than double the measure of the first angle. What are the measurements of all three angles?
  • A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, the rocket was how many kilometers above the height of the launch pad?
  • The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,2). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.
  • A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park rather than along two sides?
  • Which list shows the lengths of three line segments that could not form a triangle 6cm, 8cm, 10cm 5cm, 6cm, 7cm 4cm, 7cm, 13cm 3cm, 6cm, 6cm
  • Los Angeles Airport bears 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from San Francisco Airport to Los Angeles Airport to leave at 2 P. M. The plane’s air speed will be 640 km/h, and there will be a 60 km/hwind blowing from 290 degrees. What should the compass heading be, and what is the plane’s estimated time of arrival (ETA) to the nearest minute?
  • 22. The figure is reflected across line m and then reflected across line n. What is the resulting transformation?A) glide reflectionB) rotationC) reflectionD) translation24. The waiter places a bowl of soup in front of Abbey. In a counterclockwise direction, she passes the soup to Kai who then passes it to Haifa. Which two rotations about the center of the table describe passing the soup?A) first 72° and then 108°B ) first 40° and then 60°C) first 80° and then 120°D) first 60° and then 90°25. The waiter places a bowl of soup in front of Lacy. In a counterclockwise direction, she passes the soup 90°. The person receiving the soup passes it 30°. After the two passes, the soup is in front of which person?A) GarretB) DarcyC) IgorD) Haifa28. What are the coordinates of the vertices of the triangle under the translation (x, y) -> (x - 1, y - 3)A)(0,8), (-1,1), (-5,4)B) (-8, 0), (-1,1), (-4,5)C) (5,4), (0, 0), (5, 4)D) (-4, 5), (0, 0), (4, 5)29. What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4?A) (-8,6)b) (4,3)C) (4,6)D) (-6, 8)
  • What is the value of x? A right triangle with a short leg measuring 5, a long leg measuring 5, and the hypotenuse as x. A. 10 B. 5C. \( 2\sqrt5 \)D. \( 5\sqrt2 \)
  • What is angle y and why? when b is 90
  • What is the area of the figure below?
  • Find the area of the triangle 1. C=110 degrees, a=6, b=10 2. B=130 degrees, a=92, c=30
  • Using the picture below, if m∠1 = 55° and m∠4 = 60°, what is the m&ang10?
  • A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 miles apart? (the answer is 30)
  • Which three measurements could be the lengths of the sides of a triangle? A. 5cm,3cm,9cmB. 5cm,2cm,7cmC. 5cm,2cm,2cmD. 5cm,3cm,7cm
  • The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. How many centimeters long is the smaller leg
  • In the given figure, if AB l BD, then the value of x is
  • The end zone of a football field is 10 yards deep and 53 yards across. Between the two end zones is the playing field, which is 100 yards long and 53 yards wide. What is the length of the diagonal from the back of one end zone to the back of the other?
  • The sides of a triangle have lengths of x, x+5, and 25. if the longest side is 25, which of the following values of x would make the right triangle?
  • How to find the area of the 45-45-90 triangle with a hypotenuse of 24?
  • A bird is flying 100 feet off the ground. Looking down at a 45° angle, it sees a mouse standing still. Approximately how far will the bird have to fly to catch the mouse?
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