Three mathematics students have ordered a 14-inch pizza.Instead of slicing it the traditional way, they decide to slice it by parallel cutsas shown in the figure. Being mathematics majors, they are able to determine where to slice so that each gets the same amount of pizza. Where are the cuts made? *See picture

Q: Find the number of sides a polygon has if the sum of its angle measures is the given number. 3600°…

A: Given that the sum (s) of angles of polygon is 36000.

Q: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) 1980°…

A: To find the sides of the polygon

Q: The sum of the angle measures of a polygon with n sides is 2340. Find n. n =

A: Sum of interior angles with n sides =(n-2)180

Q: The sum of the interior angles of a regular polygon is 1260°. a. Give the name of the regular…

A: The sum of the interior angles of a regular polygon is 1260°. a. Therefore the polygon has 9 sides,…

Q: The measures of three exterior angles of a convex quadrilateral are 90 °, 76 °, and 110 °. What is…

A: Sum of the exterior of the polygon or convex quadrilateral is 360°.

Q: 3. How many lines of symmetry does a regular heptagon have? Explain your answer.

A: Since multiple question are asked. I am answering first question.

Q: What is the meaning of a [-2, 3, 0.5] by [-10, 20, 5] viewing rectangle?

A: It is given [-2,3,0.5]  which describes the x-axis such that minimum value of x is -2 , maximum…

Q: Determine whether the statement, 'This triangular arrangement of 36 circles illustrates that 1 + 2 +…

A: The statement =>   'This triangular arrangement of 36 circles illustrates that 1 + 2 + 3 +…

Q: The diagonals of a parallelogram are 24.2 centimeters and35.4 centimeters and intersect at an angle…

A: Given: For a parallelogram, op Diagonal AC of a parallelogram, D1=24.2 cm Diagonal BD of a…

Q: Determine whether each quadrilateral is a parallelogram. Justify your answer. 17. 18.

A:

Q: ABCD is a parallelogram, what's the perimeter of ABCD? 342

A: We can solve it by putting the formula of perimeter.

Q: Find the perimeter of the triangle whose vertices are (-3, – 2), (9, – 2), and (9, 3). Write the…

A: By using distance formula

Q: find the diagonal of the rectangle inscribed in an isosceles right triangle if the two vertices of…

A: ABC is a triangle with rt. angle at B. D and E is the mid point of side AB and BC. It is given…

Q: An architect is designing a staircase in the shape of congruent right triangles with dimensions…

A: Consider a triangle  To find the number of stairs for a height of 5 feet, where each stair is of…

Q: Mario has poles that are 6 feet, 9 feet, and 12 feet long . Can Mario make a triangle with these…

A:

Q: 4. Find the measure of all three interior angles in the triangle below. A 3x + 28 5x + 52 2x - 10…

A: The given all three angles are  Angle A = 3x +28 Angle B = 5x +52 Angle C = 2x - 10

Q: The sum of the angle measures of a polygon with n sides is 540. Find n. n-0

A: The sum of angles = (n – 2)180° where n = number of sides of the polygon

Q: The measures of the interior angles of a quadrilateral are x°, 2x°, 3x° and 4x°. What is the measure…

A:

Q: The longest midsegment in a triangle whose sides measure 20, 24, and 28 is О 26 22 О 14 О 10

A:

Q: The sum of the angle measures of a polygon with n sides is 2340. Find n.

A:

Q: A party will have hexagonal tables placed together with space for one person on each open side.…

A: Here, n represents the tables. So, P1=6P2=4+4=8P3=4+2+4=10P4=4+2+2+4=12P5=4++2+2+2+4=14

Q: The sides of a triangle are 12 cm, 8 cm and 5 cm. Calculate the median touching the 12 cm side

A: The sides of a triangle are 12 cm, 8 cm and 5 cm. Calculate the median touching the 12 cm side.

Q: Quadrilateral ABCD is inscribed in circle 0, as shown below. If mZA-80°, m/B-75°, m2C-(y+30)°, and…

A: The given figure is -

Q: There is exactly 1 pair of parallel sides in the following shape. 8 10 7

A:

Q: A quilt is made by sewing together 4 identical parallelograms as shown. If the total area of the…

A: We can find the height of each parallelogram piece as below

Q: In a right triangle, angle Y has a measure of 19. If the hypotenuse of this right triangle has a…

A:

Q: Find the value of h in the parallelogram. 9.5 3.8

A:

Q: perimeter

A:

Q: If the sum of the interior angles of a polygon is 2340°, how many sides does the polygon have? A 16…

A: Given:           Sum of the interior angles in polygon =2340°    The sum of interior angles in…

Q: Which diagram shows that the two triangles must be congruent

A:

Q: Find the value of x and y in the parallelogram below. 70 -х-8 44 у+6

A:

Q: If a rectangle is not a square, what is the greatest number of lines of symmetry that can be drawn?…

A:

Q: 2160

A:

Q: The sum of the angle measures of a polygon with n sides is 2880. Find n.

A:

Q: The US Capitol building has an elliptical room. It is 96 feet long and 46 feet wide. Jack discovered…

A: Given: The room is elliptical, with length=96 feet, and width= 46 feet.  Jack can hear conversation…

Q: In parallelogram ABCD, the measure of is represented by 3a – 10 and = a + 80. Find the degree…

A:

Q: Which 3 segment lengths [to the right], could be used to make a triangle from endpoint to endpoint…

A: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

Q: If the measures of the first three angles of a quadrilateral are 62°,84°, and160°, what is the…

A: First three angle of quadrilateral = 62° , 84°, 160°

Q: Sides A and B are called legs O hypotenuse

A: This question is about pythagores theorem

Q: Click on the grid, and select Edit to draw two parallelograms for #3. 3. Two different…

A: Given: we have to draw two parallelogram P and Q both have an area of 20 square units and neither…

Q: What is the perimeter of ALSR if the triangles below are similar. 25 14 'R 16 40

A:

Q: PERSEVERE ABCD is a parallelogram with side lengths as indicated in the given figure. The perimeter…

A:

Q: in the diagram, BCD is a straight line and BC : CD = 5 : 3. Calculate the area of triangle ABC as a…

A: the given diagram is: we have been given that in the diagram, BCD is a straight line and BC : CD =…

Q: How do you find the remaining sides of a 45-45-90 triangle if the longest side is 28?

A:

Q: What quadrilaterals always have consecutive angles that are supplementary

A:

Q: Y 34° X N

A: See attached file for a step by step explanation.

Q: In the cube shown below, which lines are intersecting? Select all that apply. R RV and UX QU and UX…

A: RV↔ and UX↔  Are not intersecting QU↔ and UX↔ are intersecting each other with point of intersection…

Q: What is the area of the parallelogram shown in the diagram? (3,3) (7,3)

A: We are given the following diagram. Thus, the area of the parallelogram will be 2×4=8.

Q: The lengths of 2 sides of a triangle are given, what are the possible lengths of the 3rd side.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.