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Gelneren [198K]

3 years ago

11

Suppose DK is an angle bisector of △DEF. Given: EK=2, FK=5, DF=10. Find DE.

1 answer:

ziro4ka [17]3 years ago

5 0

Answer:

$DE=4$

Step-by-step explanation:

We have been provided a graph of a triangle and we are asked to find the length of segment DE.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.

By angle bisector theorem we can set proportions of the given sides as:

$\frac{DE}{EK}=\frac{DF}{FK}$

Upon substituting our given values in above proportion we will get,

$\frac{DE}{2}=\frac{10}{5}$

Upon multiplying both sides of our equation by 2 we will get,

$\frac{DE}{2}\times 2=2\times \frac{10}{5}$

$DE=2\times 2$

$DE=4$

Therefore, the length of segment DE is 4 units.

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Area of square floor is 100 square centimeters,and the scale of the drawing is 1 centimeter:2ft,what is the area of the actual f

Taya2010 [7]

100 square centimeters means the dimensions are 10x10
but the actual floor will be 1cm:2ft
so 10cm=20feet
making the dimensions 20feetx20feet
the area of the actual floor is 400 feet

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3 years ago

Which of the following expressions is equal to -3X2-27?

ale4655 [162]

Answer: B

Step-by-step explanation:

-3x^2-9xi+9ix-27

-3x^2-27

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3 years ago

Wilmer went up a hill for x minutes at a speed of y kilometers per minutes. Then he went down the same path at a speed of z kilo

dedylja [7]

Answer:

$xy=wz$

Step-by-step explanation:

Given that:

Speed of Wilmer up the hill = $y$ km/min

Time taken up the hill = $x$ minutes

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Time taken up the hill = $w$ minutes

Distance can be calculated by multiplying the Speed with Time i.e.

The formula for distance is given as:

$Distance = Speed \times Time$

Distance up the hill = $y\times x =xy\ kilometers$

Distance down the hill = $z\times w =wz\ kilometers$

It is well known that, the distance up the hill and down the hill will be same.

Putting both the values equal, we get:

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4 0

2 years ago

Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up

wlad13 [49]

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

$a(t)=9.8$

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

$\int \:a\left(t\right)dt=\int \:9.8dt$

$v(t)=9.8t+C$

we are given

v(0)=35m/s

we can use it and find C

$v(0)=9.8*0+C$

$35=9.8*0+C$

$C=35$

now, we can plug it back

$v(t)=9.8t+35$

we know that

integral of velocity is height

we can integrate it again

$\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt$

$s(t)=\int \:\left(9.8t+35\right)dt$

$s(t)=4.9t^2+35t+C$

now, we have

s(0)=6

we can use it and find C

$s(0)=4.9(0)^2+35(0)+C$

$6=4.9(0)^2+35(0)+C$

now, we can plug back C

$C=6$

and we get

$s(t)=4.9t^2+35t+6$ .............Answer

4 0

3 years ago

Read 2 more answers

A total of 484 tickets we’re sold for the school play. They Either adult or student tickets. There were 66 Fewer student tickets

choli [55]

Answer:

x + 61 = 411

Step-by-step explanation:

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

4 0

3 years ago