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3 years ago

Triangles MOP and MNQ are similar. Find x.

Mathematics

2 answers:

gtnhenbr [62]3 years ago

8 0

Answer:

The value of x is 4/3.

Step-by-step explanation:

It is given that triangles MOP and MNQ are similar.

The corresponding sides of similar triangles are proportional.

$\frac{MQ}{MP}=\frac{MN}{MO}$

$\frac{MQ}{MQ+QP}=\frac{MN}{MN+NO}$

It is given that MQ=4, QP=x, MN=6, NO=2. Put this value in the above equation.

$\frac{4}{4+x}=\frac{6}{6+2}$

$\frac{4}{4+x}=\frac{6}{8}$

$4\times 8=6(4+x)$

$32=24+6x$

$32-24=6x$

$8=6x$

Divide both sides by 6.

$\frac{8}{6}=x$

$\frac{4}{3}=x$

Therefore the value of x is 4/3.

OLga [1]3 years ago

3 0

Aight so if you add the angel mn and no you get eight so that must mean the opposite side must also equal eight, in that case 8-4 is 4, so Qp is 4

correct me if im wrong

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Step-by-step explanation:

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2 years ago

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The production planner for Fine Coffees, Inc. Produces two coffee blends: American (A) and British (B). He can only get 300 poun

VladimirAG [237]

Answer:

P=2A+B where:

A= # of pounds of American blend and

B= # of pounds of British blend

Step-by-step explanation:

This is a linear programming problem. In order to solve it we need to determine how we are going to use the provided data and we need to keep in mind what we need to maximize (or minimize depending on the problem)

So, the problem states that "The goal of Fine Coffees, Inc. Is to maximize profits." This last sentence will tell us what the objective function will be. The objective function must model the desired value we want to maximize. So the objective function should represent the profits of selling the two tipes of cofee blends.

So this is the data the problem gives us:

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"Each pount of American blend cofee requires 12 oz of Colombian beans and 4 oz. of Dominican beans, while a pound of British blend coffee uses 8 oz of each type of bean." Again, this data will help us find the restrictions for our linear programming problem, since they will tell us how much coffe we can manufacture, so they are not needed to find the objective function.

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$P_{British}=$1.00*B$

so the total profit is found by adding the two given profits, so we get:

$P_{total}=P_{American}+P_{British}$

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which can be simplified to:

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3 years ago

A piece of timber is x cm long. 7 cm is cut off. How much is left?

anygoal [31]

Answer:

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Straight answer: x-7

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Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0

3 0

3 years ago

HELP PLEASE!

NeTakaya

Answer:5×4×9/9 +(9(4))

=180/9 + (36)

= 20+36

=56

Thank You

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andrezito [222]

Answer:

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Step-by-step explanation:

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