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V125BC [204]
3 years ago
8

In trapezoid $WXYZ$, $\overline{XY} \parallel \overline{WZ}$, $\angle WXZ = 105^\circ$, $\angle W = 43^\circ$, and $\angle Y = 1

41^\circ$. Find $\angle YXZ$, in degrees.

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

32 degrees

Step-by-step explanation:

The diagram of the problem is drawn and attached.

In Triangle WXZ

105+43+\angle WZX=180 (Sum of Angles in a Triangle)

148+\angle WZX=180

\angle WZX=180-148

\angle WZX=32 degrees

Since |XY|//|WZ| (parallel to)

\angle WZX=\angle YXZ (Alternate Angles)

Therefore:

\angle YXZ=32 degrees

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Write 27 as a power and as repeated multiplication
Oxana [17]

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

6 0
2 years ago
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2/3A=-24 <br><br> this the last one that I need help on.
pychu [463]
You can answer this question in numerous ways but one simple way is by multiplying fractions. 

<span>2/3 of 24 is also 2/3 of 24/1 </span>
<span>To get the answer, you must multiply 2/3 by 24/1 </span>

<span>To do this, you multiply the numerator (the top number) by the other numerator. That is, 2 x 24 . The answer is 48. </span>

<span>Then, multiply the denominators (the bottom numbers) by each other. That is, 3 x 1. The answer is 3. </span>

<span>The answer is 48/3. But you must continue simplifying. </span>

<span>What is 48 divided by 3? 16. </span>

<span>If you do not understand it that way, think of it in a simpler way. </span>

<span>Say there are 24 slices of pieces. </span>

<span>What is one third of those 24 slices? </span>

<span>24 divided by 3 = 8. </span>

<span>Now you want TWO thirds. So all you do is multiply 8 by 2. </span>

<span>That gives you 16. 
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I hope i helped, and, if so, please mark as brainliest :P
3 0
2 years ago
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I don’t know the answer
Sunny_sXe [5.5K]

Answer:

AC ≈ 12.9 cm

Step-by-step explanation:

Using the ratio

sin40° = \frac{b}{20}

Multiply both sides by 20

20 × sin40° = b, hence

AC = b = 20 × sin40° ≈ 12.9

5 0
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Find the measure of arc DF (with an explanation of how to solve please!)
allochka39001 [22]

Answer:

mDF = 90°

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Step-by-step explanation:

When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.

So in this case, we have:

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Assuming mCE is 5x + 10, we have:

70 = (5x + 10 + 11x + 2)/2

70 = (16x + 12)/2

70 = 8x + 6

8x = 64

x = 8

So the arc mDF is:

mDF = 11x + 2 = 11 * 8 + 2 = 90°

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joja [24]

Answer:

-8 < x < -5 or x > -4

Step-by-step explanation:

(Work cannot be showed due to issue occured)

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