All categories

3 years ago

In the figure below, points D, E, and F are the midpoints of the sides of LABC,

Mathematics

1 answer:

attashe74 [19]3 years ago

4 0

Answers:

DE = 39
AB = 68
BE = 34

=============================================================

Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

-------

DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

-------

BE = 34 for two reasons

Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent.
E is the midpoint of AB, so BE is half as long as AB

--------

We don't use the info that AC = 48.

You might be interested in

Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.

Brilliant_brown [7]

Answer:

first one

Step-by-step explanation:

6 0

3 years ago

Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.

Sergio [31]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2

y= 3 x-2

x= 3y - 2

3 y -2 = x

3 y -2 + 2 = x + 2

3 y = x + 2

3 3 3

3 y = x + 2

3 3 3

y = x + 2 replace y with f ^ -1(x)

3 3

f ^-1 (x) = x + 2

3 3

4 0

3 years ago

a recipe calls for 2 2/3 cups of flour every 1/6 cup of cinnamon.If Richard has 1 cup of cinnamon already in the recipe, how man

Mashcka [7]

Step-by-step explanation:

2 2/3

=>If 8/3 = 1/6

x =1

1/6x = 8/3 ( Divide both sides by 1/6 )

___ ___

1/6 1/6

(By cross-multiplying the numerators and denominators)

=> 1×6 8×6

___ x = ___

6×1 3×1

Cancelling out , we have

x = 8×2

____ = 8×2 = 16

1 × 1

The final answer becomes 16

Hope it helps.

6 0

3 years ago

1 2 3 4 5 6 7 8 9 10

Sunny_sXe [5.5K]

Answer:

$x^{2}$ + 2

Step-by-step explanation:

Group:

(2 $x^{3}$ + 4x) (-5 $x^{2}$ - 10)

2x ( $x^{2}$ + 2) -5 ( $x^{2}$ + 2)

Common binomial factor = ( $x^{2}$ + 2)

4 0

3 years ago

Read 2 more answers

Graph -5x-8y=40

Triss [41]

Answer:

Please, see the attached file.

Thanks.

Step-by-step explanation:

-5x-8y=40

This is a linear equation, and its graph is a right line, we only need two points, because by two points only goes trough only a right line:

1) For x=0→ -5(0)-8y=40

0-8y=40

-8y=40

Dividing both sides of the equation by -8:

-8y/(-8)=40/(-8)

y=-5

Point=(x,y)→Point=(0,-5)

2) For y=0→ -5x-8(0)=40

-5x-0=40

-5x=40

Dividing both sides of the equation by -5:

-5x/(-5)=40/(-5)

x=-8

Point=(x,y)→Point=(-8,0)

With these two points (0,-5) and (-8,0) we can draw the right line.

8 0

4 years ago