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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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7 0
3 years ago
Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
kogti [31]

Answer:

$2

Step-by-step explanation:

Total money Shania was having = $20.

After buying raffle tickets she was having a total of $6.

Thus ,

The money she spent on the raffle tickets = Money she was having initially -

                                                                         Money she was having after

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Thus She spent a total of $14 on tickets .

Now , number of tickets she bought = 7.

So, cost of each ticket = \frac{Money spent}{Number of tickets} = \frac{14}{7}

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7 0
3 years ago
A triangle with an area of 23 cm² is dilated by a factor of 6.
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Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

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For ABCD to be a parallelogram, the lines

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AND

BC and AD must be parallel to each other and BC = DA

------------------------------

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

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AND

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\therefore \overline {PM} \cong \overline {ON}.

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6 0
3 years ago
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