Answer:
12/1
Step-by-step explanation:
A) Find KM∠KEM is a right angle hence ΔKEM is a right angled triangle Using Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides we can answer the
KM² = KE² + ME²KM² = 8² + (3√5)² = 64 + 9x5KM = √109KM = 10.44
b)Find LMThe ratio of LM:KN is 3:5 hence if we take the length of one unit as xlength of LM is 3xand the length of KN is 5x ∠K and ∠N are equal making it a isosceles trapezoid. A line from L that cuts KN perpendicularly at D makes KE = DN
KN = LM + 2x 2x = KE + DN2x = 8+8x = 8LM = 3x = 3*8 = 24
c)Find KN Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have the same height ME = LD.
∠K = ∠N Hence KE = DN the distance ED = LMhence KN = KE + ED + DN since ED = LM = 24and KE + DN = 16KN = 16 + 24 = 40
d)Find area KLMNArea of trapezium can be calculated using the formula below Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)substituting values into the general equationArea = 1/2 * ME * (KN+ LM) = 1/2 * 3√5 * (40 + 24) = 1/2 * 3√5 * 64 = 3 x 2.23 * 32 = 214.66 units²
Answer:
C. Multiplication
Step-by-Step Explanation:
This problem is testing your knowledge of the Order of Operations. Here is the correct order:
Exponents (inside parenthesis)- There are no exponents for you to solve in this expression, so just ignore this step for now. (example: (4 + 2²) --> (4 + 4))
Parenthesis (from left to right)- In this case, you would solve the expressions inside the parenthesis <em>first</em> because there are no exponents.
Multiplication and Division (from left to right outside of parenthesis)- After solving the expressions inside the parenthesis, there will be one multiplication you need to solve next.
Addition and Subtraction (from left to right outside of parenthesis)- The only operation left for you to do now is addition. You can either do this in one whole step, or you can divide it into two steps. I've done it in two to keep it simple.
Here is the problem worked out in steps in case you are confused:
Step 1: Parenthesis
(-8 ÷ 4) + 5 + 4(3 - 6)
(-2) + 5 + 4(-3)
Step 2: Multiplication
-2 + 5 + 4(-3)
-2 + 5 + (-12)
Step 3: Addition
-2 + 5 + (-12)
3 + (-12)
-9
(Note: '3 + (-12)' could also be written as '3 - 12', making it a subtraction instead of an addition)
Hope this helps!
Answer:
x=2/5
Step-by-step explanation:
5x+6=8
