You and your friend went to a frozen yogurt store. you both like frozen yogurt cones with different toppings. the store has a sign showing the different types of cones, yogurt, and toppings you can buy.

cones: sugar cone, chocolate dip cone

yogurt: vanilla, chocolate, strawberry

toppings: oreo cookie, reese's pieces, rainbow sprinkles, gummy bears

you and your friend wonder how many different cones you can make. find all the different combinations of cones, yogurt, and toppings you can make and explain how you know you have found all of them.

how would your numbers change if the store added a waffle cone? explain.

Listing all the combinations would take forever. The # of combinations though are 2(cones)+3(yogurt)+4(toppings), a total of 24.

25 inches - 0.694 yards

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.