Question 1 of 5
What is the value of x in the diagram below?
5 vectors originate from a common point, forming a 120 degree angle on the left side, an x degree angle on the top, and a right angle on the right side.
A. 30˚
B. 60˚
C. 90˚
D. 120˚
B. 60˚
Which term correctly describes the figure shown below?
An obtuse triangle ABC is shown. Angle A is 25 degrees, angle B is 110 degrees, and angle C is 45 degrees. Side AB is 6 meters, side BC is 4 meters, and side AC is 9 meters.
A. acute triangle
B. obtuse triangle
C. parallelogram
D. right triangle
2 / 5
B. Obtuse triangle
Which statement is true?
A. All rectangles are squares.
B. Some trapezoids are parallelograms.
C. All squares are rhombuses.
D. No rhombuses are rectangles.
C. All squares are rhombuses.
Which is the best description of triangles ABC and DEF?
2 similar triangles labeled ABC and DEF are shown. Side AB is 3 centimeters, side AC is 5 centimeters, and side BC is 2 centimeters. Side DE is 4 point 5 centimeters, side DF is 7 point 5 centimeters, and side EF is 3 centimeters.
A. They are congruent, but not similar.
B. They are similar, but not congruent.
C. They are neither similar nor congruent.
D. They are both similar and congruent.
B. They are similar, but not congruent.
Which image is a reflection of the right triangle shown over the given line of reflection?
A blue triangle and a line are shown.The triangle has a horizontal side on the bottom, a vertical side on the right, and a diagonal side that goes up from the left end of the horizontal side to the top of the vertical side. The horizontal side is shorter than the vertical side. A right angle symbol is shown between the horizontal and vertical sides. A vertical line is shown to the right of the triangle.
A. A blue triangle is shown.The triangle has a horizontal side on the bottom, a vertical side on the left, and a diagonal side that goes up from the top of the vertical side to the right end of the horizontal side. The horizontal side is shorter than the vertical side. A right angle symbol is shown between the horizontal and vertical sides.
B. A blue triangle is shown.The triangle has a horizontal side on the top, a vertical side on the right, and a diagonal side that goes up from the left end of the horizontal side to the bottom of the vertical side. The horizontal side is shorter than the vertical side. A right angle symbol is shown between the horizontal and vertical sides.
C. A blue triangle is shown.The triangle has a horizontal side on the bottom, a vertical side on the right, and a diagonal side that goes up from the left end of the horizontal side to the top of the vertical side. The horizontal side is longer than the vertical side. A right angle symbol is shown between the horizontal and vertical sides.
D. A blue triangle is shown.The triangle has a horizontal side on the bottom, a vertical side on the right, and a diagonal side that goes up from the left end of the horizontal side to the top of the vertical side. The horizontal side is shorter than the vertical side. A right angle symbol is shown between the horizontal and vertical sides.
A. A blue triangle is shown.The triangle has a horizontal side on the bottom, a vertical side on the left, and a diagonal side that goes up from the top of the vertical side to the right end of the horizontal side. The horizontal side is shorter than the vertical side. A right angle symbol is shown between the horizontal and vertical sides.
To determine the value of x in the diagram, we need to consider the angles formed by the vectors. In this case, we know that the angle on the left side is 120 degrees and the angle on the right side is 90 degrees.
To find the value of x, we can use the fact that the sum of angles in a triangle is equal to 180 degrees. Since the angles on the left and right sides are already known, we can subtract those from 180 and then subtract the remaining angle from the sum to find x.
180 degrees - 120 degrees - 90 degrees = x
Now we can calculate x:
180 degrees - 120 degrees - 90 degrees = x
180 degrees - 210 degrees = x
-30 degrees = x
So, the value of x in the diagram is -30 degrees. However, since the options provided are all positive angles, none of the given options (A, B, C, D) match the actual value of x.