I need help

For the fill in the blanks, just rewrite the sentence with the blank filled in.

The steps for the construction of a line that is parallel to a given line are listed below. Drag and drop the missing steps to complete the proof. Drag and drop an answer choice into each empty box below. Mark point R on the line about halfway between points P and Q. |Draw a transverse line through R and across the line PQ at an angle, forming the point J where it intersects the line PQ. Mark point J to the left of point Q. |Move the compass to where the upper arc crosses the transverse line and draw an arc across the upper arc, forming point S. Setting the compass width to the distance from point P to J, place the compass point on point J and draw a similar arc that goes through JR. Setting the compass width to half the distance from point J to point R, place the compass point on point R and draw a similar arc that goes through JR. 1. Using a straightedge, draw a horizontal line. On this line, mark two points, P and Q. 2. 3. With the compasses' width set to about half the distance between R and J, place the point on J, and draw an arc across both lines. 4. Without adjusting the compasses' width, move the compass to R and draw a similar arc to the one in step 3. 5. Set compasses' width to the distance where the lower arc crosses the two lines. 6. 7. Use your straight edge to draw a straight line through points R and S.no uculllcuy i Carol is constructing an equilateral triangle with P and B being two verlices. She is going to use a compass to draw circles around P and R. What should the radius of the circles be? 0 O 00 guring\" Carolina wanted to construct a polygon inscribed in a circle by paper folding. She completed the following steps: - Start with a paper circle. Fold it in half. Make a crease. - Take the half circle and fold it in thirds. I.Crease along the sides of the thirds. - Open the paper. Markthe intersection points of the creases with the circle. - Connect adjacent intersection points on the circle with segments. Which polygon was lllarolina most likely trying to construct? 0 Regular nonagon Regular octagon Regular hexagon 000 Regular pentagon A prism and pyramid with the same base area and height are shown below. 10 A Which of the following statements about their volume is true? O The volume of the prism is less than the volume of the pyramid. O The volume of the prism is equal to the volume of the pyramid. O The volume of the prism is triple the volume of the pyramid. The volume of the prism is one-third the volume of the pyramid.A plane intersects three different prisms of the same height, resulting in the congruent cross-sections shown below. Select the appropriate word of phrase to complete Candace's argument. By if the of the of all three prisms are equal and their are also equal, then their will be equal as well.Roslyn is an engineer. She is designing a part for a new engine. The length of the part is 16 centimeters (cm), the width is 6 cm, and the height of the cone top is 5 cm, as shown. 16 cm 6 cm 5 cm Diagram not to scale What is the volume of the part to the nearest thousandth? Volume = cmThe Great Pyramid of Giza, located in Egypt, is one of the Seven Wonders of the Ancient World. The length of one side of its square base is 440 cubits (an ancient unit of length). The pyramid was 280 cubits tall when it was constructed over 4000 years ago. Which of the following values most closely represents the volume of the Great Pyramid when it was first built? 16,800,000 cubic cubits 18,100,000 cubic cubits 34,500,000 cubic cubits 54,200,000 cubic cubitsA right triangle is rotated around the length of one of its legs, as shown in the diagram below. What three-dimensional shape is generated by this rotation? O Pyramid O Cone O Cylinder O SphereA plane intersects a right cone. Which of the following shapes from the table below could represent the cross-section formed from this intersection? Select all that apply. B C D E F A C A O D O E FAn equation of a circle is shown. x2 + y? + 8x -12y +4=0 Find the center and radius of the circle. Center. Radius: O 48 O 52 O 2V13 O 4V3Which of the equations below could represent the circle shown on the plot? 10 H O Select all that apply: O x- ty' = 10x +12y O (x - 5)' + (y -6)2 =9 0 x2+y2=9 O x' ty = 10x + 12y O x' ty2 -10x - 12y + 52 = 0 O x2 + y2-10x - 12y = -52 O (x +5)- +(y-6)2 =9Quadrilateral ABCD has vertices A(1, 1), B(5, 2), C(6, - 2), and D(2, -3). Select a word or phrase to complete the statement about quadrilateral ABCD. The best classification of quadrilateral ABCD is a v because the v of the sides are vAPQR has coordinates P(6, 5), Q(-2, 6), and (-1, -2). What type of triangle is APQR? O right O scalene O equilateral O isosceles2 What is an equation of the line that is perpendicular to the line 3; = z 1 and passes through the point [4, 2}? Fill in the missing slope and {grintercept: use: What are the coordinates of the point on the directed line segment from III5, 4] to L[5, 1} that partitions the segment into a ratio of 3 to 2? dadb Find the area and perimeter of the rectangle graphed below. Round your answers to the nearest hundredth. f2. 8. Area: units2 Perimeter: unitsCalculate the area at the g ht tn' angle 5130 shown an the graph below. Round tn the nearest 1.Irhele number. A bucket-wheel excavator, as shown, is used to mine soft materials. An example of the bucket wheel and one bucket is shown. height width Select all of the measurements that can be used to estimate the amount of material that one rotation of a wheel on a bucket-wheel excavator would mine. Area of a circle O Diameter of a circle Volume of a square pyramid O Volume of rectangular prism O The ratio of buckets to the wheel's circumferenceAn object consists of a larger cylinder with a smaller cylinder drilled out of it as shown. h R What is the volume of the object? O (R2 - 12 ) h O (TR2 -r?) h O (R2 - mr? ) h O "(R - r)'hThe approximate outline of Manatee county is shown with measurements in miles (mi). 10.8mi 30.8 mi 19 mi 12.4mi 12 mi The population of Manatee county in 1997 was 235,003. The population of Manatee county in 2017 was 385,571. What is the increase in persons per square mile between 1997 and 2017