46°
7 8
T
E
8
15
10
6
29°
S
20
Given ASTU and ADEF,
what is mZD? what is m/T?
Please help

467 8TE81510629S20Given ASTU And ADEF,what Is MZD? What Is M/T?Please Help

Answers

Answer 1

Answer:

m ∠D = 29°

m ∠T  = 105°

Step-by-step explanation:

Given: ΔSTU and ΔDEF

To find: m ∠D and m ∠T

Solution:

According to SSS similarity criteria,

two triangles are said to be similar if their corresponding sides are proportional.

In ΔSTU and ΔDEF,

[tex]\frac{ST}{DE}=\frac{15}{6}=\frac{5}{2} \\\\\frac{TU}{EF}=\frac{10}{4}=\frac{5}{2}\\\\\frac{SU}{DF}=\frac{20}{8}=\frac{5}{2}[/tex]

So,

[tex]\frac{ST}{DE}=\frac{TU}{EF}=\frac{SU}{DF}=\frac{5}{2}[/tex]

Therefore,

ΔSTU ≈ ΔDEF

If two triangles are similar then measure of their corresponding angles are equal.

m ∠D = m ∠S = 29°

m ∠U = m ∠F = 46°

In ΔSTU,

m ∠S + m ∠T + m ∠U = 180°

29° + m ∠T + 46° = 180°

75° + m ∠T = 180°

m ∠T  = 180° - 75° = 105°

(According to angle sum property of a triangle, sum of measures of angles of a triangle is equal to 180°)


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Step-by-step explanation:

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Step-by-step explanation: The sum of x and y is 79. In other words, x plus y equals 79 and can be written as equation A:

x + y = 79

The difference between x and y is 23. In other words, x minus y equals 23 and can be written as equation B:

x - y = 23

Now solve equation B for x to get the revised equation B:

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Then substitute x in equation A from the revised equation B and then solve for y:

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Answers

Step-by-step explanation:

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Answer:

No change ; = ; research ; parameter

Step-by-step explanation:

The Null hypothesis in a statistical test is always the initial truth which always means that a research scenario or statement is as it is or that there is no change whatsoever. The null hypothesis is usually denoted as H0 ; because it is always the initial truth or accepted claim, it usually takes a equal to sign, this denotes that, there is no change in parameter, either the population mean or any other statistical measure we wish to test. The alternative hypothesis on the other hand always negated the null hypothesis, because it brings up a claim which is to check or peruse the Null hypothesis, hence, it is a research hypothesis, denoted as Ha: ;

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I think the answer is X=1/4y+-3/4

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]\int\limits^6_0 {xe^{x} } \, dx = 4e^5 +1[/tex]

Step-by-step explanation:

Step(i):-

Given

      [tex]I = \int\limits^6_0 {xe^{x} } \, dx[/tex]

By using UV formula

[tex]\int\limits {UV} \, dx = U\int\limits {v} \, dx - ( \int\limits {(U^{l} } \int\limits {v} \, dx \, )dx[/tex]

Now , we take  

     U = x and V = e ˣ

   U¹  = 1  and [tex]\int\limits {e^{x} } \, dx = e^{x}[/tex]

Step(ii):-

[tex]\int\limits {xe^x} \, dx = x\int\limits {e^x} \, dx - ( \int\limits {(1) } \int\limits {e^x} \, dx \, )dx[/tex]

           =  x e ˣ - [tex]\int\limits {e^x} \, dx[/tex]

           = x e ˣ - e ˣ + C

[tex]\int\limits^6_0 {xe^{x} } \, dx =( e^ x ( x -1) )_{0} ^{6}[/tex]

             = e⁵ (5-1) - (e⁰ (0-1)

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Final answer:-

[tex]\int\limits^6_0 {xe^{x} } \, dx = 4e^5 +1[/tex]

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Step-by-step explanation:

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Answer:

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