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Ira Lisetskai [31]
2 years ago
14

Based only on the information given in the diagram, it is guaranteed that ABC~DEF

Mathematics
2 answers:
slamgirl [31]2 years ago
4 0
False because it doesn’t meet any triangle congruence theoreme
Varvara68 [4.7K]2 years ago
4 0

Answer: False.

Step-by-step explanation:

To prove any pair of triangles similar , some necessary things are needed :-

1) At least two angles :-Two prove a pair of angles are similar , we need at-least two corresponding angles are congruent for AA-similarity criteria.

2) Two sides and one included angle :- To apply SAS similarity criteria , we need two sides of one triangle proportional two two sides of another traingle and one pair of congruent corresponding angle.

3) Three sides :-To apply SSS similarity criteria , we need all the three sides of triangle proportional to the sides of the another triangle.

In the given figure we have given only one angle and one side in each triangle.

To apply any similarity criteria to prove then similar , we need at least an angle or side CB and EF or all the sides.

Hence, on the basis of the given diagram it is not guaranteed that  ABC~DEF.

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Find the area of the triangle with the given measurements. Round the solution to the nearest hundredth if necessary. A = 46°, b
horrorfan [7]
We will use the law of cosines
<span>side a² = b² + c² -2bc • cos(A)
</span><span>side a² = 729 + 196 -2*27*14 * cos (46)
</span><span>side a² = 925 -(756 * 0.69466)
</span>side a² = <span><span>399.83704 </span>
side a = </span><span><span><span>19.995925585 </span> </span> </span>
We could round that to 20
a = 20 b = 27 c =14

We can calculate a triangle's area when we know all 3 sides by using Heron's Formula
<span>area = square root (s • (s - a) • (s - b) • (s - c))

where s is the semi-perimeter </span>
semi-perimeter<span> = (side a + side b + side c) ÷ 2</span>
s = (20 + 27 + 14) / 2
s = 30.5
Now we use Heron's Formula
area = square root (s • (s - a) • (s - b) • (s - c))
area = square root (30.5 • (<span>30.5 - 20) • (</span><span>30.5 - 27) • (</span><span>30.5 - 14))</span>
area = square root (30.5 • (10.5) • (3.5) • (<span>16.5))</span>
<span>area = square root (18494.4375)
</span> <span><span><span>area = 135.9942553934  </span> </span> </span>which rounds to
136 square feet
Source:
http://www.1728.org/triang.htm

 




7 0
1 year ago
Suppose an exponential function is fit to a set of data. Which of the following residual plots indicates that this function was
Zina [86]
The correct answer is the choice that you have selected, the third choice. 

When, we are looking at the residuals for a regression line, we always want to see the points balance like in the third choice. This means that the equation that we found is right in the middle of the points.
7 0
1 year ago
Read 2 more answers
Jenna dances for 3 hours on sunday, 2 hours on Monday and Tuesday, 1 hour on THursday,1.5 hours oon friday, and 2 hours on Satur
Delicious77 [7]

Answer: The average number of hours she danced per day is 1.9 hours (rounded to the nearest tenth)

Step-by-step explanation: We start by calculating how many hours she danced all together which can be derived as follows;

Summation = 3 +2 +2 + 1 + 1.5 + 2 = 11.5

The number of days she danced which is the observed data is 6 days (she did  not dance at all on Wednesday).

The average (or mean) hours she danced each day can be calculated as

Average = ∑x ÷ x

Where ∑x is the summation of all data and x is number of observed data

Average = (3+2+2+1+1.5+2) ÷ 6

Average = 11.5 ÷ 6

Average = 1.9166

Approximately, average hours danced is 1.9 hours (to the nearest tenth)

8 0
1 year ago
Is the statement ""For every natural number n ≥ 1 there exists a directed graph of n vertices for which every vertex has an inde
Semenov [28]

Answer:

The given statement is false.

Step-by-step explanation:

Reason

let D be a directed graph with 'n' no of vertices and 'E' edges.

where 'n'=1.  thus D =(n,E).

In degree: in directed graph the number of incoming edges on a vertex is known as indegree.

it is denoted as deg ⁺(n).

And now we know that in a directed graph

if deg ⁻(n)= deg ⁺(n) for each vertex n.

5 0
1 year ago
A wine store conducted a study. It showed that a customer does not tend to buy more or fewer bottles when more samples are offer
aniked [119]
We can conclude that samples won’t affect how many bottles of wine a customer will buy.
4 0
2 years ago
Read 2 more answers
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