Triangle ABC has perimeter 22 cm. AB = 8 cm
BC = 5 cm
By calculation, deduce whether triangle ABC is a right-angled triangle.

No, it isn't a right triangle

Step-by-step explanation:

AB+ BC + AC= 22            parts whole postulate

8 + 5 + AC = 22            substitution

AC= 22- 13= 9               Algebra

by judging the sides of triangle, we can tell that AC is the longest side therefore is would be the hypotenuse

AC= c

AB= a

CB = b

a^2 + b^2 = c^2       pythagorean theorem

8^2 + 5^2 = 9^2    substitution

64 + 25 = 81        Algebra

89 = 81

ABC is NOT a right triangle

I hope this helps!!!

b is the answer that makes most sense

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)