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xxTIMURxx [149]
1 year ago
8

In the graphic below,

Mathematics
1 answer:
sukhopar [10]1 year ago
6 0

The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:

\begin{gathered} \angle d=180-\angle a \\ \angle b+\angle c=180-\angle a \end{gathered}

Then we can conclude that:

\angle d=\angle b+\angle c

Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.

Let's use an example:

On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:

x=75+45=120

The sum of the remote interior angles is equal to the external angle.

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3 years ago
Please solve for M&lt;QTR​
Andru [333]

Answer:

m∠QTR = 98°

Step-by-step explanation:

From the picture attached,

Radii of the circle are TQ and TR measuring equal lengths.

Therefore, ΔTQR is a isosceles triangle.

Opposite angles of the equal sides will be equal in measure.

m∠RQT = m∠TRQ = 41°

By angle sum theorem,

m∠RQT + m∠TRQ + m∠QTR = 180°

41° + 41° + m∠QTR = 180°

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Therefore, m∠QTR = 98°

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3 years ago
I HAVE ASKED THIS QUESTION LIKE 8 TIMES TODAY AND NO ONE WILL HELP ME:( PLEASE HELP ME I BEG YOU GUYS!!!
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Answer:

156.25 grams

Step-by-step explanation:

Well, for starters we know that the substance decays by 2% each day and its been decaying for 34 days. Therefore, the substance has decayed by 68%        

34 x 2 = 68

Hence, 50 grams is 32% because the substance has already decayed by 68%

100 - 68 = 32

So now we know 50 grams is 32%. Now we need to find how much 100% is.

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X   - 100%

We cross multiply.

50 x 100 = 5000

And divide.

5000 / 32 = 156.25

Thus, in the beginning, there were 156.25 grams in the substance.

Hope this helps! :)

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Answer:

y = 42x

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