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Firlakuza [10]
2 years ago
5

Given: BD = BF DE ⊥ BC , FK ⊥ AB Prove: ED ≅ FK

Mathematics
2 answers:
sergeinik [125]2 years ago
8 0

This is the picture I am not very good at proofs but hopefully someone can solve it.

Simora [160]2 years ago
6 0

Answer:

Side ED ≅ FK

Step-by-step explanation:

The given parameters are BD = BF, DE ⊥ BC and FK ⊥ AB

We have to prove ED ≅ FK

In the given triangles ΔBDE and ΔBKF

BD = BF

∠B is common and ∠BDE ≅ ∠KFB = 90°

Since these triangles fulfill the property of congruence AAS (One side and two adjacent angles are equal) therefore ΔBDE ≅ ΔBKF

Therefore ED ≅ FK

Hence proved.

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Answer:

The coefficient is 1

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2 years ago
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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

3 0
2 years ago
The system of equations graphed below has how many solutions? y= 2x+2, y=2x
Art [367]
Y = 2x + 2
Y = 2x -
Subtract

0 = 2

This makes no sense meaning the lines are parallel. Therefore there are 0 solutions.
8 0
3 years ago
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When are the x-intercept and the y-intercept of a graph identical?
vova2212 [387]

at the origin

they are same

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3 years ago
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Please help thank you
Allushta [10]

The average rate of change of credit card is $ 401.79 /year.

<h3>What is Average Rate?</h3>
  • A single rate that is a weighted average of the different rates that are applicable to property in various locations.
  • An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).

<u>Solution</u>

The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625

The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14

average rate of change of credit card debt with respect to time = \frac{difference of credit card debt}{difference of years}

average rate = \frac{5625}{14} = $ 401.79 / year

know more about average numerical brainly.com/question/18296887

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