The following tables show the make-up of students in a school's math club. Male Female Totals Freshmen 3 5 8 Sophomores 6 4 10 Juniors 7 5 12 Seniors 4 10 Totals 20 20 40 P(female)?

Q: If minor arc FC = 120, what is the measure of <FBC?

A: Given: Measure of minor arc FC = 120. To find: m∠FBC=?

Q: 47. What is the measure of B when m4P= 84°? The figure is not drawn to scale. O42 096 O168 O 192

A:

Q: 52. The lateral area of a cone is 480 cm-. The radius is 40 cm. What is the slant height to the…

A: I have appended the formula used in the solution part.

Q: 12. What is the value of x, given that PO | BC 12 72 66 C. Ox = 6 Ox = 8 Ox= 11 Ox= 13

A: Given query is to find the value of x

Q: AB is a 1 bisector of CD.

A:

Q: 1. ABCD is a parallelogram. The diagram is not drawn to scale. If m/CDA = 128°, then m/DAB A O 125°…

A:

Q: Triangles ABC and DEF are similar triangles. Use this fact to solve the ex Find side DE. Let J= 3, K…

A: If two triangles are similar then corresponding sides are proportional.

Q: Find the area of the hexagon. 11 ft 634.7 ft2 69.9 ft2 O 419.2 ft2 O 279.4 ft2

A: To find the area of the given hexagon

Q: 21. If (-4,5) is located on the graph of f and g(x) = 3f(2x)- 1, what point is guaranteed to be on…

A: Given (-4,5) is located on the graph of f and g(x)= 3f(2x)-1  We want to find the guaranted point on…

Q: To the nearest millimeter, a cell phone is 70 mm long and 32 mm wide. What is the ratio of the width…

A: Given :A cell phone length = 70 mmwidth = 32 mm

Q: 5. MZLNM = M 108

A:

Q: THE HORIZONTAL BASE OF REGULAR PYRAMID IS AN EQUIKATERAL TRIANGLE 20 m ON EACH SIDE. IF THE VOLUME…

A: The horizontal base of regular pyramid is an equilateral  triangle has side lengths 20m each.volume…

Q: 9. What is the scale factor that shows ABE-CDE? C= (3, 7) B = (-1, 4) E= (0 25, 1 5) A = (-1, -1) D…

A: Use the properties of similar triangles.

Q: Find an equation in standard form for the ellipse with center at the origin and passes throught the…

A:

Q: y= A) 70° (B) 65° (C)55° y+10 2x/ 3x-40 D)50° (E) None of these

A:

Q: In Exercises 7-10, find the value of x. Round your answer to the nearest tenth. 8. 15 7. 27° 12 41°

A:

Q: The volume of a right cone is 23257 units³ If its radius measures 15 units, find its height.

A: We know that volume of a right circular cone of radius 'r' and height 'h' is given by formula in…

Q: let f(x, y, z) = 2x?y + 3xyz-x z+ 3y Find: fx fxy, fxz. fxyz

A:

Q: 1. Sphere T has a volume of 1083 cc and Sphere L has a volume of 22cc, what is the scale factor…

A: Scale factor (definition) :  Since any two spheres are similar. Therefore, The ratio of radii of two…

Q: Find the volume of the prism. 1.5 m 2 m 4 m The volume iS cubic meters.

A:

Q: # 8 i Find the volume of the prism. 15 cm 28 cm 25.7 cm/ 20 cm 37 cm Previous 1. 4 5. 8 10 Next 3.

A:

Q: Find the surface area of each figure. Round your answers to the nearest hundredth, if necessary. 2)…

A:

Q: 11. What is the geometric mean of the pair of numbers? 45 and 5 O15 O25 O35 O20

A: Use geometric mean formula

Q: 22. Find the value of x to the nearest tenth. 12 6 19.7 20.8 21.3 19.2

A:

Q: What is true about alternate interior angles? Their angles sum up to 270 degrees. Their angles sum…

A: If Two lines are parallel to each other and there is a transversal then alternative interior angle…

Q: 1) On a separate sheet of paper, copy this figure and rotate the preimage, given

A: answer is in next step

Q: rectangle measures 2  1 4  meters by 1  7 8  meters. What is its area

A:

Q: 53. The volumes of two similar solids are 1,331 m' and 216 m'. The surface area of the solid is 484…

A: We will solve the problem on ratios of area and volume.

Q: Find the missing dimension of the prism. Volume 80 em 8 cm W 5 cm cm Previous 4 7. 6. 10 Overview 8.…

A: We have to solve the above prism

Q: 15. m ZU 144 60° W

A:

Q: Question 4:1 Pis) Prove that through a given point p off a line L, there exists at least one line m…

A: We have to prove the given statement.

Q: 24 mi Find the Area: area. rds ase

A: We have to find area

Q: what is the radius of a circle that has a sector area of 3π cm2 and a central angle of 120°?

A:

Q: Directions: Answer each question. Round to the nearest tenth if needed. (1) The angle of elevation…

A:

Q: 5. Find the measure of each arc, segment, or angle in ©H. a. AE 60 82 b. AD B. 54 с. ZABD 102 C

A:

Q: 5. RT is an altitude. R 35 in 1 61 S. 31 in T U- mZU = mZS = _, RT = %3D %3D Complete each proof: 7.…

A: Solve the following

Q: 43. Wz and XR are diameters in circle C. What is the measure of zw? The figure is not drawn to…

A: Given query is to find the measure of indicated arc.

Q: AB has endpoints A(- 3, 2) and B(3, – 2). Find the coordinates of the midpoint of AB. Find AB to the…

A: Given; A(-3,2) &amp; B(3,-2)

Q: What would the result be if you reflected the pre-image over the line y=x, then reflected it over…

A:

Q: 31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to…

A:

Q: 13) 12) 2 m 246 yd 63 22 y

A:

Q: 12. What is the value of x, given that PO || BC 12 72 66 B. Ox= 6 Ox= 8 Ox = 11 Ox= 13

A:

Q: What is the equation of the horizontal asymptote of function: f(x) = 2/(x + 2) - (x + 3)/(x + 4)?

A: I have appended the formula used in the solution part.

Q: Find the lateral and total surface area of each cone. Round to the nearest tenth. 13 in. 6 in. LA =…

A:

Q: M B. Exterior Angle Inequality Theorem Given: ΔΜNΟ Prove: mZM + mZN = MZACB N Statement Reason 1.…

A:

Q: A'B' is the image of a candle BA produced by a box camera. Given the measurement of the figure, find…

A: Note that the image became small and inverted. we also know that the triangle OAB is similar to…

Q: 4 ft V= 2 mrh 3 ft = 2T(4)(3) = 247 So, the volume of the cylinder is 24 cublc feet. O The radius of…

A:

Q: 18. What is the value of a? 45° 27.5 30 90 45

A: We know that angles made by arc to any point on same side of the circle are equals. Therefore a=450

Q: JEWELRY Joan is designing a pendant with a circular gem inscribed in a triangle. 2x+2 3x-3 34 2z…

A: We have to find value of x,y,z and perimeter of triangle

Q: Find the volume of a pyramid with a square base, where the side length of the base is 12 ft and the…

A: To find out the volume of the square pyramid.