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LiRa [457]
3 years ago
7

Find mZ3 if mZ5 = 145º and mZ4 = 45°

Mathematics
1 answer:
trapecia [35]3 years ago
7 0

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

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

  ∠5 = ∠3 +∠4

  145° = ∠3 +45° . . . . fill in the given values

  100° = ∠3 . . . . . . subtract 45° from both sides

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5 0
3 years ago
1377/8 in simplest form<br><br> Thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
nlexa [21]
To convert a fraction to simplest form we need to find the greatest common factor. 

The fraction can not be simplified because it is already in simplest form but we can change it to a mixed fraction. 

         Steps to solve 

<span>1) Set up the long division.
</span>
<span>2) Calculate 13 ÷ 8, which is 1 with a remainder of 5.
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3) Bring down 7, so that 57 is large enough to be divided by 8.

4) Calculate 57 ÷ 8, which is 7 with a remainder of 1.

<span>5) Bring down 7, so that 17 is large enough to be divided by 8.
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<span>6) Calculate 17 ÷ 8, which is 2 with a remainder of 1.
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<span>7) Therefore, 1377 ÷ 8 = 172 with a remainder of 1.
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<span>Express as a mixed fraction = </span>172 \dfrac{1}{8}


5 0
3 years ago
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mel-nik [20]

Answer:

Step-by-step explanation:

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6 0
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The formula for the density of an object is given by D = m/v where D is density, m is mass, and v is volume. Solve the formula f
svet-max [94.6K]

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Step-by-step explanation:

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7 0
3 years ago
Aiko is finding the sum (4 + 5i) + (–3 + 7i). She rewrites the sum as (–3 + 7)i + (4 + 5)i. Which statement explains the mathema
yan [13]
In this item, it can be seen that from an expression of,
                                  (4 + 5i) + (-3 + 7i)
Aiko transformed the equation by factoring out the i's from the expression and wrote it as,
                                   (4 + 5)i + (-3 + 7)i
Now this is wrong because i there is not a variable but a notation that 5 and 7 are imaginary numbers. In fact, she cannot factor out the i's because it is not present in both -3 and 4. The answer therefore to this item is the last sentence, "Aiko incorrectly used the distributive property by combining ..."
4 0
3 years ago
Read 2 more answers
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