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LenaWriter [7]
3 years ago
11

Find the values of m and n Can someone help???

Mathematics
2 answers:
dedylja [7]3 years ago
7 0

Answer:

m=44 n=68

Step-by-step explanation:

Base angle theorum.

180-(68+68)= Angle opposite to M=44

Vertical Angle Theorum.

M=Angle opposite to M=44

Definition of Isoceles Triangle.

n=(180-44)/2=136/2=68

zloy xaker [14]3 years ago
5 0

Answer:

n=68

m=180-(68+68)

m=180-136

m=44

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Great, now we can solve this problem. Since we are dealing with an opposite and adjacent angle, with regard to the 54 degree angle, this makes is a tangent ratio. SOH - CAH - TOA

We can set up and solve the following equation.

tan 54 = x/12  Use a calculator or chart to find the tangent of 54
1.37 = x/12     Multiply by 12
16.44 = x

The length of the missing side x is 16.44.

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4vir4ik [10]
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What does it mean for a ordered pair to be a solution to a linear equation​
jeka57 [31]

Answer:

What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.

Step-by-step explanation:

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ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) Two kinds of
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Answer:

To complete the problem statement it is needed:

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2.- In order to formulate the objective function we need to have an expression like this:

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Solution:

z(max)  =  175  $

x  =  1

y  =  1

Assuming  a weight constraint   700 pounds  and

volume constraint  150 ft³ we can formulate an integer linear programming problem ( I don´t know if with that constraints such formulation will be feasible, but that is another thing)

Step-by-step explanation:

crated cargo A   (x)          volume  50 ft³   weigh   200 pounds

crated cargo B   (y)          volume  10 ft³     weigh   360 pounds

Constraints:  Volume     150 ft³

50*x  +  10*y  ≤ 150

Weight contraint:  700 pounds

200*x   +  360*y  ≤ 700

general constraints

x ≥ 0    y ≥ 0  both integers

Final formulation:

Objective function:

z  =  75*x  +  100*y   to maximize

Subject to:

50*x  +  10*y  ≤ 150  

200*x   +  360*y  ≤ 700

x ≥ 0  y  ≥ 0  integers

After 4 iterations with the on-line solver the solution

z(max)  =  175  $

x  =  1

y  =  1

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3 years ago
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