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Romashka-Z-Leto [24]
2 years ago
8

PLEASE HELP ILL GIVE BRAINLIEST!!List the sides of ∆DEF in order from shortest to longest if m∠D = 20, m∠E = 120, and m∠F = 40.

Mathematics
2 answers:
zvonat [6]2 years ago
7 0

Answer:

In triangle DEF:

Given:  m\angle D = 20^{\circ} ,  m\angle E= 120^{\circ} and  m\angle F = 40^{\circ}

To list the sides of a triangle in order from shortest to longest.

In the Figure as shown below :

If one of the angle of a triangle is larger than, then the sides opposite the larger angle is longer than the side opposite to the shorter

m\angle D < m\angle F < \angle E

\text{EF} < \text{DE}

Therefore, the list of the sides of a triangle DEF in order from shortest to longest is, \text{EF} < \text{DE}

omeli [17]2 years ago
6 0

Answer:

<h2>From shortest to longest:</h2><h2>EF, DE and DF.</h2>

Step-by-step explanation:

We know that m∠D = 20, m∠E = 120, and m∠F = 40.

Knowing this measures we can order the sides from shortest to longest, because angles are the opening between to sides, this means if the angle is wide, its opposite side (which is in front of the angle) is wide too, if the angle is narrow, its opposite side will be narrow.

So, in this case, the opposite side of ∠E will be the longest, because this is the largest angle. The opposite side of m∠F will be the second longest, and the opposite side of ∠D will be the smallest. From shortest to longest the order is: EF, DE and DF.

The image attached show this result.

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Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,          

         

33.7625   9.7125   30.525  

39.2375   11.2875   35.475

Using chi^2 = Sum[(O - E)^2/E],          

chi^2 =    4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a =    3      

b =    2

df =    2

Thus, the critical value is

significance level =    0.05

chi^2(critical) =    5.991464547

Also, the p value is

P =    0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we   FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0
3 years ago
Given 3 sides of a triangle - how to tell it right, acute, or obtuse 8,11, 16
user100 [1]
Using Pythagorean theorem, we can justify our answer.
if c^2 = a^2 + b^2 then triangle is right one,
if c^2 > a^2 + b^2 then triangle is obtuse and
if c^2 < a^2 + b^2 then triangle is acute triangle.

Here a=8, b=11 and c=16
Put these values in the equation
16^2 = 8 ^2 + 11^2
256 = 64 +121
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Answer: Obtuse Triangle


6 0
3 years ago
If the length of a square is 10 feet what is the area?
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8 0
3 years ago
I'm a little bit confused about how to approach this can someone help?
Taya2010 [7]

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

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5 0
2 years ago
−4x+7y+5=0<br> x−3y=−5<br> ​ <br><br> How many solutions does the system have?
xeze [42]

   

Solution:  

Using Substitution Method:

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get the value of x from Equation 2

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Put the value of x from Equation 3 in Equation 1

-4(3y-5)+7y=-5

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-12y+7y=-5-20

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Negative sign on both sides cancels each other

y=25/5

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Putting value of y in equation 3

x=3(5)-5

x=15-5

x=10

Therefore,   [x,y]=[10,5]

Using Elimination Method

-4x+7y=-5   (Equation 1)

x-3y=-5       (Equation 2)

Multiply equation 2 with -4 in order to eliminate the x term

-4(x-3y)=-5*4

-4x+12y=20     (Equation 3)

Adding Equation 1 and 3

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+    -     = -   (Change Of Sign with x and y terms)

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0x-5y = -25

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x=40/4

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[x,y]=[10,5]

3 0
2 years ago
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