Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
Applying the Pythagorean Theorem
substitute the given values
solve for BC
Notation. x y means x is less than or equal to y. x y means x is greater than or equal to y. x < y means x is less than y. x > y means x is greater than y. The last two inequalities are called strict inequalities. Our focus will be on the nonstrict inequalities. Algebra of Inequalities Suppose x + 3 < 8. Addition works like for equations: x + 6 < 11 (added 3 to each side). Subtraction works like for equations: x + 2 < 7 (subtracted 4 from each side). Multiplication and division by positive numbers work like for equations: 2x + 12 < 22 =) x + 6 < 11 (each side is divided by 2 or multiplied by 1 2 ). 59 60 4. LINEAR PROGRAMMING Multiplication and division by negative numbers changes the direction of the inequality sign: 2x + 12 < 22 =) x 6 > 11 (each side is divided by -2 or multiplied by 1 2 ). Example. For 3x 4y and 24 there are 3 possibilities: 3x 4y = 24 3x 4y < 24 3x 4y > 24 4y = 3x + 24 4y < 3x + 24 4y > 3x + 24 y = 3 4x 6 y > 3 4x 6 y < 3 4x 6 The three solution sets above are disjoint (do not intersect or overlap), and their graphs fill up the plane. We are familiar with the graph of the linear equation. The graph of one inequality is all the points on one side of the line, the graph of the other all the points on the other side of the line. To determine which side for an inequality, choose a test point not on the line (such as (0, 0) if the line does not pass through the origin). Substitute this point into the linear inequality. For a true statement, the solution region is the side of the line that the test point is on; for a false statement, it is the other side.
Answer:
f= -(6/5)g
Explanation:
We have been given the expression 6f+9g = 3g+f
Solve for f means find the value of f
We will simplify the given expression:
we will collect the values of f at one side and g on the other side
So, rewriting the given expression 6f+9g =3g+f as 6f-f=3g-9g
So, after simplification it will lead to 5f= -6g
After further simplification f= -(6/5)g which is the final result
36:8, 9:2, and 72: 16
Step-by-step explanation:
two ratios that are equivalent to 4:18
36:8, 9:2, and 72: 16
would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For
Answer:
angles b and c should be 153° each.
Step-by-step explanation:
We know the smaller angle is 27°. The other small angle, vertical to the 27° angle is also 27° because they are vertical angles. Along the lines, two angles should form 180°. So 180-27=153°. All together the angles should be 360°. Check your answer by doing 153+153+27+27=360. therefore the missing angles are both 153°
