For a.) I would do the simplist example possible and make all 3 angles equal. So you would divide 180° degrees by 3. This gives you 60° for each angle. That is still acute.
b.) complementary angles mean they add up to 90°
If one has to be greater than 45° you can so 68° and 22°.
c.) 100 - 10,10; 20,5; 50,2; 4,25
You can choose any pair for the length and width of the ones I put above. :)
d.) angle ABC can equal 32° and angle CBD can be 10°
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
X + 11 + 8x = 29. We need to solve for x. First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x
So we get: 9x + 11 = 29
Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side: 9x + 11 = 29 9x + 11 - 11 = 29 - 11 9x = 18
Now divide both sides by 9, so you can transform the coefficient of x to one, and have the numeric value of x on the right side: 9x = 18 (9x)/9 = 18/9 x = 2
So x+11+8x = 29 for x = 2.
You can recheck your answer (very important): x + 11 + 8x = 2 + 11 + 8*2 = 2 + 11 + 16 = 13 + 16 = 29 The answer has been approved.