The isosceles triangle has two sides of equal length , a , that are longer than the length of the base , b. the perimeter of the triangle is 15.7 centimeters. the equation 2a+b=15.7 models this information.
if one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base ?

Equation that can be used to find length of the base is b + 12.6 = 15.7  and the length of the base we get from this equation is 3.1 cm

Step-by-step explanation:

Given:

Length of the equal side of the Isosceles Triangle = a

Length of the base of the triangle = b

Equal sides are longer than base of the triangle.

Perimeter of the triangle = 15.7 cm

Equation representing given information = 2a + b = 15.7

To find: Equation that represent or can be used to find length of the base if longer side = 6.3 cm

Given Equation is the Equation representing the perimeter of the isosceles triangle.

Longer side  = 6.3 cm = Length of the Equal Sides of the triangle.

So, a = 6.3 cm

Now,

2 × 6.3 + b = 15.7

b + 12.6 = 15.7

b = 15.7 - 12.6

b = 3.1 cm

Therefore, Equation that can be used to find length of the base is b + 12.6 = 15.7  and the length of the base we get from this equation is 3.1 cm

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1