Given the diagram below find x and the measure of pac and tac

8, 40°, 50°

Step-by-step explanation:

∠PAT is a right angle triangle so it sums up to 90°

5x + 7x - 6 = 90

12x - 6 = 90

12x = 90 +6

12x = 96

x = 96 ÷ 12

x = 8

Substitute...

∠PAC = 5x

5 × 8 = 40

∴∠PAC is 40°

∠TAC = 7x - 6

7 × 8 - 6 = 50

∴∠TAC is 50°

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

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.