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lutik1710 [3]
2 years ago
14

Which equation can be use to solve for x in the parallelogram below ?

Mathematics
2 answers:
Sauron [17]2 years ago
7 0

Answer:

Below.

Step-by-step explanation:

I can't read it very well but one equation might be

2x + 8 = 3x - 12

(because the opposite sides of a parallelogram  are congruent.

alukav5142 [94]2 years ago
7 0

Explanation:

Opposite angles of a parallelogram are equal.

<em>B. (3x - 12)° = (2x + 8)°</em>

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

<em>x = 20°</em>

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

<u><em>Hence, verified.</em></u>

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
38% of what is 152? Show work
marusya05 [52]
Take that certain number we are looking for as 'n'

38% ⇒ 0.38

0.38n = 152

Divide by 0.38

0.38n = 152
 /0.38      /0.38

n = 400

So 38% of 400 is 152.
3 0
3 years ago
Read 2 more answers
Ivanna purchased a prepaid phone card for $30. Long distance calls cost 16 cents a minute using this card. Ivanna used her card
Wewaii [24]

Answer:

11 Minutes

Step-by-step explanation:

$30 - $28.24 = $1.76

$1.76/ 0.16 Cents /minute =  11 Minutes

7 0
2 years ago
Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
Need help will give brianly
Katen [24]

3. No it is not on the graph.

because: y=2x+5 insert (5,6)

              6=2x5 +5 is wrong

4. C

8 0
3 years ago
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