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Ipatiy [6.2K]
3 years ago
5

What is the length of the midsegment of the trapezoid

Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

The length of the mid-segment of the trapezoid = 7

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

Step-by-step explanation:

The mid-segment of a trapezoid is the segment that connecting the midpoints of the two non-parallel sides.

As shown in the figure the two non-parallel sides are AB and CD

∴ The mid-segment of the trapezoid = \frac{BC +AD}{2}

From the figure: BC = 8  and AD = 6

∴ The mid-segment of the trapezoid = \frac{8+6}{2} = 7

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Fuimos al Circo "Hermanos Poncho y Carlos", y tuvimos que pagar en total $350 por mis dos hermanos, mis padres y yo. Mi mamá pag
nalin [4]

Answer:

$160

Step-by-step explanation:

El monto total a pagar es de $350

\dfrac{1}{7} es pagado por mamá

\dfrac{2}{5} es pagado por el hermano mayor

La porción pagada por papá es

1-(\dfrac{1}{7}+\dfrac{2}{5})=1-(\dfrac{5+14}{35})\\ =1-\dfrac{19}{35}\\ =\dfrac{35-19}{35}\\ =\dfrac{16}{35}

Esta cantidad pagada por papá es

350\times\dfrac{16}{35}\\ =10\times 16\\ =\$160

Esta cantidad pagada por papá es $160.

3 0
2 years ago
48 packages /second = packages /minute
Gekata [30.6K]

Answer:

2880 packages/min

Step-by-step explanation:

48 × 60 = 2880

8 0
2 years ago
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Two lighthouses flash their lights every 20 and 30 seconds respectively. given that they flash together at 8 p.m., at what time
VikaD [51]
Do you remember when you were learning about
Least Common Multiple (LCM) ?  And you were
wondering what on Earth you would ever need it for ?

THIS IS IT !

The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?

... When 20 is prime-factored, you have  2 · 2 · 5 .

... When 30 is prime-factored, you have  2 · 3 · 5 .

... So the Least Common Multiple of 20 and 30 is  2 · 2 · 3 · 5  =  60 .

The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be  8:01 PM.  
6 0
3 years ago
3x^2+kx=-3 What is the value of K will result in exactly one solution to the equation?
Scorpion4ik [409]

Answer:

For k = 6 or k = -6, the equation will have exactly one solution.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

If \bigtriangleup = 0, the equation has only one solution.

In this problem, we have that:

3x^{2} + kx + 3 = 0

So

a = 3, b = k, c = 3

\bigtriangleup = b^{2} - 4ac

\bigtriangleup = k^{2} - 4*3*3

\bigtriangleup = k^{2} - 36

We will only have one solution if \bigtriangleup = 0. So

\bigtriangleup = 0

k^{2} - 36 = 0

k^{2} = 36

k = \pm \sqrt{36}

k = \pm 6

For k = 6 or k = -6, the equation will have exactly one solution.

3 0
2 years ago
HELP ME PLEASE PLEASE
inn [45]
Answer: x = -6 and y = -9

Explanation:

3 0
3 years ago
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