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VARVARA [1.3K]
3 years ago
9

Find the values of the variables in the parallelogram.

Mathematics
1 answer:
stepan [7]3 years ago
6 0

Step-by-step explanation:

We can find x very easily because the left and right sides are parallel,making the diagonal connecting them a transversal therefore x=33°

To find y we know that the sum of interior angles of a triangle is 180°

y+109°+33°=180°

y+142°=180°

y=38°

Now,

x+38°+z=180

33+38+z=180

z=180-71=109°

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Display the set of data in a histogram.
VARVARA [1.3K]

Answer:

The answer to your question is the third histogram

Step-by-step explanation:

What we must check in a histogram is that the x-axis is represented the intervals and in the y-axis is represented the frequency.

The first histogram is incorrect just by observing the first bar, we notice that the correct frequency from 0 to 4 is 3, not 14. This histogram is incorrect.

Also, the second histogram is incorrect, the frequency of the first category is 3, not 12. This histogram is wrong.

The third histogram is correct because all the bars are in agreement with their frequencies.

The last histogram is incorrect, for example, the last frequency is 12, not 3.

4 0
3 years ago
According to the ASA theorem, which of the following sets of relationships can be used to show that VRT and STR are congruent?
irina [24]

Answer:

C. ∠SRT≅∠VTR and ∠STR≅∠VRT

Step-by-step explanation:

Given:

Quadrilateral is a parallelogram.

RS║VT; RT is an transversal line;

Hence By alternate interior angle property;

∠SRT≅∠VTR

∠STR≅∠VRT

Now in Δ VRT and Δ STR

∠SRT≅∠VTR (from above)

segment RT= Segment RT (common Segment for both triangles)

∠STR≅∠VRT (from above)

Now by ASA theorem;

Δ VRT ≅ Δ STR

Hence the answer is C. ∠SRT≅∠VTR and ∠STR≅∠VRT

7 0
3 years ago
The number of employees working for Widget Wonders in 1997 was 17,697, with an expected decrease of 2.2% per year. At the percen
Veronika [31]
In 1997 = 17697


Because, each year, the number of employees is expected to decrease by 2.2%, find 2.2% of 17697 and subtract from the number.

2.2/100 x 17697 = 38933.4/100 = 389.334

^that was calculating 2.2% of 17697. Now we subtract:

17697.000
- 389.334
17307.666 =

Round to the nearest whole number = 17308

Answer: in 1998, the expected number of workers is 17308
4 0
3 years ago
Does arithmetic sequence demonstrate common difference or common ratio
makkiz [27]
Arithmetic sequences have a common difference (addition)
geometric sequences have a common ratio (multiplication)
4 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> describe these triangles.
Bingel [31]

Answer:

SAS

Step-by-step explanation:

There is one common side (S)

both the triangles have 90° common (A)

Opposite sides are equal which is given (S)

They both are right angled triangles

5 0
2 years ago
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