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3 years ago

Please help!! brainliest gets 30 points

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

x = 85°

Step-by-step explanation:

Because the sum of the angles in a triangle is 180°, we can find ∠CDB.

180° - ∠CBD - ∠BCD = ∠CDB.

180° - 35° - 50° =

180° - 85° =

95°

So, ∠CDB is 95°

Then, because a line has 180°, we can find ∠CDA.

180° - ∠CDB = ∠CDA.

180° - 95° = 85°

So, x = 85°

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3 years ago

The graph below shows the solution to which system of inequalities?

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Answer:

Option D.

Step-by-step explanation:

Consider option D. $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

Take point (0,0)

On putting this point in inequation $y\leq \frac{3x}{4}+10$ , we get

$0\leq 10$ which is true . So, solution is region towards the origin i,e region below the line $y= \frac{3x}{4}+10$ including the line itself .

On putting (0,0) in inequation $y\leq \frac{-x}{2}-3$ , we get $0\leq -3$ which is false , so solution is region away from the origin i.e region below line $y= \frac{-x}{2}-3$ including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: $y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3$

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3 years ago

Example

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2 years ago

Raise 12/8 = ?/48 to higher terms

allochka39001 [22]

Let ?=x
12/8= x/48
8x=576
x= 576/8
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Therefore the higher term fraction is 72/48

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