Answer:
Triangle APB is an isosceles triangle ⇒ 3rd answer
Step-by-step explanation:
* Lets explain the how to solve the problem
- ABCD is a square
∴ AB = BC = CD = AD
∴ m∠A = m∠∠B = m∠C = m∠D = 90°
- DPC is equilateral triangle
∴ DP = PC = DC
∴ m∠DPC = m∠PCD = m∠CDP = 60°
- In the Δs APD , BPC
∵ AD = BC ⇒ sides of the square
∵ PD = PC ⇒ sides of equilateral triangle
∵ m∠ADB = m∠BCP = 30° (90° - 60° = 30) ⇒ including angles
∴ Δs APD , BPC are congregant ⇒ SAS
- From congruent
∴ AP = BP
∴ Triangle APB is an isosceles triangle
Answer:
1680 possible pizzas
Step-by-step explanation:
Pizza contains 2 different meat and 3 different vegetables.
If there are 5 meats and 8 vegetables, the customer can select any one of 3 types of crust.
Total number of ways to select meat = 5C2
nCr = n! /(n-r)! r!
5C2 = 5! / (5-2)!2!
= 5! / 3!2!
= 10
Total number of ways to select vegetables = 8C3
= 8!/(8-3)!3!
= 8! / 5!3!
= 56
Total number of pizza choice that can be made = 3 * 5C2 * 8C3
= 3*10*56
= 1680 possible pizza
Answer:
X = 3
Step-by-step explanation:
So do 7-2 which equals 5. 5 times 6 because 6 is outside of the parentheses with no symbol, so that means to multiply. That would equal 30. You want your answer to equal 6, so you would want the number inside of the parentheses to be 1, so that 1 times 6 would be 6. 2 x 3 would be sixe, and then 7-6 would equal one. 1 times 6 would be 6. So there is your answer.
Answer:
12870 ways
Step-by-step explanation:
10c2*13c3
10!/(10-2)!2! *13!/(13-3)!3!
[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]
45*286
12870 ways
