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sdas [7]
3 years ago
5

Help please. It’s my final. Thank you

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

49°

Step-by-step explanation:

We are given:

m∠1 = 50°

m∠2 = 48°

Since m║n and s bisects ∠ABC (this means that line s cuts the angle in half) and as you can see, the line extends, bisecting the angle across it.

We have this theorem about corresponding angles, when a line transverses across two parallel lines. ∠ABC corresponds to the angle that ∠3 is a part of. Look at the picture to see what I am referring to. The red lines show the corresponding angles.

m∠1 and m∠2 summed up would be equal to the measure of ∠ABC.

m∠1 = 50°

m∠2 = 48°

m∠1 + m∠2 = ∠ABC

50° + 48° = ∠ABC

98° = ∠ABC

This means that the corresponding angle is also equal to 98°.

Now since the s bisects the corresponding angle forming ∠3, we just divide the measure of the angle by 2 and we have your answer:

m∠3 = 98°/2

m∠3 = 49°

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The inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

<h3>What do you mean by inverse?</h3>

Inverse of the statement means that explain the condition in reverse way or vice versa.

Since, M is the midpoint of PQ, then PM is congruent to QM.
Proving in reverse way, let m be the point between P and Q the distance M from P is equal to the distance from M to Q. Which implies that M lies as the mid of the P and Q.

Thus, the inverse of the statement is M be the point on PQ since PM is congruent to QM than M is midpoint on the PQ.

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2 years ago
How to get 3.15 ratio
REY [17]

Answer:

Step 1) Convert the 3.15 percent to a decimal number.

To convert 3.15 percent to a decimal number, you divide 3.15 by 100. In other words, the quotient you get when you divide 3.15% by 100 is the decimal number.

3.15 ÷ 100 = 0.0315

Step 2) Convert the decimal number to a fraction.

To convert the decimal number to a fraction, we make the decimal number the numerator, and 1 the denominator.

0.0315  =  

   

0.0315

   

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Step 3) Remove the decimal point in the numerator.

To remove the decimal point in the numerator, multiply both the numerator and denominator by 10000.

   

0.0315 × 10000

   

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Step 4) Simplify the fraction.

The greatest common factor of 315 and 10000 is 5. Therefore, to simplify the fraction, divide the numerator and denominator by 5.

   

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Step 5) Convert the fraction to a ratio.

To convert the fraction to a ratio, replace the fraction divider line with a colon.

   

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That was the final step. Below is the answer to 3.15 percent as a ratio.

3.15% = 63:2000

Step-by-step explanation:

6 0
3 years ago
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Mrac [35]

Answer:

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According to the given problem, the equation is

\boxed{12k = 84} \\ k =  \frac{84}{12}  \\  \boxed{k = 7}

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5 0
3 years ago
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lana [24]

Answer:

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8 0
3 years ago
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kifflom [539]

Answer:

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Step-by-step explanation:

L = W+17

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-26 is an extraneous solution

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L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

3 0
3 years ago
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