In trapezoid abcd, points m and n are arbitrary points on bases ab and cd respectively. find the area of the trapezoid, if area aabn=23 cm2 and area acdm=18 cm2.

We can let M=B and N=D, so that MN becomes diagonal BD, dividing the trapezoid into ∆ABD (∆ABN) and ∆CDB (∆CDM). The sum of the areas of these triangles is the area of the trapezoid.

area ABCD = 23 cm² +18 cm² = 41 cm²

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

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!