Answer:
Quadratic
Step-by-step explanation:
Answer: 37.5%
Explanation:
Percentage is defined as parts of an amount in 100 parts of a basis. This must be stated mathamatically for better understanding and for calculations. It is the ratio:
% = (parts / base) × 100.
In this case you need to express the amount of butter as a part in 100 parts of all purpose flour, which, using the above definition, is:
% butter = (0.75 pounds of butter / 2 pound of flour) × 100
% butter = 0.75 × 100 / 2 = 75 / 2 = 37.5
The answer is expressed as 37.5%.
Answer:
answer would be the first choice.
Step-by-step explanation:
you would need to factor out x from the expression, then factor out -3 from the expression, factor the expression using a^2-B^2=(a-b)(a+b), afterwards you factor out the 4 from the expression, and then the 3x. Next you would factor out 2x+1, reduce the expression with x-5, reduce the numbers with the greatest common divisor 2, you then reduce the expression with x-3, multiply the fractions, distribute 2 through the parenthesis, distribute the 3x through the parenthesis, and that should be all.
Answer:
Step-by-step explanation:
Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.
35 + 80 + x = 180
115 + x = 180
x = 180 - 115
x = 65
Exterior angles are supplements of the interior angles.
So the exterior angle to 65 degrees is 180 - 65 = 115
And the exterior angle to 35 degrees is 180-35 = 145
The exterior angle to 80 degrees is 180 - 100 = 80
Answer:
x=4
y=4√5
Step-by-step explanation:
Set up 3 right triangles and mark their respective angles. The largest will have sides (in typical a,b,c[hypotenuse] order) y, z, and 10. The middle 8, x, and y. The smallest x, 2, and z.
Then since they are all similar triangles, using the midde and smaller triangles, set up the proportionin which both A sides when divided are equal to the B sides.
So 8/x = x/2
Cross multiply and get 16=x^2.
The square root of 16 is 4, so x is 4.
Then using the larger and middle triangles, do the same for the A and C sides.
So y/8 = 10/y.
Cross multiply and get 80=y^2.
Find the square root of it, which since it doesn't have a perfect square, you use a calculator or the whatever theorem and get √4*4*5 or simply 4√5.
So x = 4 and y = 4√5
