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Radda [10]
3 years ago
7

LMNO~QRST find the value of x.

Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0
Since both trapezoids are similar, so LMNO is a scaled version of QRST by some magnitude
so we can easily use the concept of ratios to find x
in other words: x÷2=6÷5
so x=6×2÷5=12/5=2.4
x=2.4
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How do I do this? please detail steps.
vladimir2022 [97]
Define
{x} =   \left[\begin{array}{ccc}x_{1}\\x_{2}\end{array}\right]

Then
x₁ = cos(t) x₁(0) + sin(t) x₂(0)
x₂ = -sin(t) x₁(0) + cos(t) x₂(0)

Differentiate to obtain
x₁' = -sin(t) x₁(0) + cos(t) x₂(0)
x₂' = -cos(t) x₁(0) - sin(t) x₂(0)

That is,
\dot{x} =   \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right] x(0)

Note that
\left[\begin{array}{ccc}0&1\\-1&09\end{array}\right]   \left[\begin{array}{ccc}cos(t)&sin(t)\\-sin(t)&cos(t)\end{array}\right] =  \left[\begin{array}{ccc}-sin(t)&cos(t)\\-cos(t)&-sin(t)\end{array}\right]

Therefore
x(t) =   \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] x(t)

7 0
3 years ago
SELECT ALL The Points that are on the Graph of the line 3x + 2y = 28 (:
Oksana_A [137]
<h2>Answer:</h2>

<h3>(0,14) and (2,11)</h3>

<h2>Step-by-step explanation:</h2>

points are on the graph of the line:-

\tt{3x+2y=28  } ⠀

we get,

\rightsquigarrow \tt{ 2y=28-3x } ⠀

\rightsquigarrow \tt{y=\dfrac{28-3x}{2}  } ⠀

In,(0,14)

If we put the value ,x=0

y=\tt{\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }

So,we get one point,(0,14)✔

In,(2,11)

If we put ,x=2

y=\tt{\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11  }

so,we get another point (2,11)✔

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

5 0
3 years ago
Read 2 more answers
Solve the system by substitution​
Alexxandr [17]
1) Solve one of the equations for either variable.

2) Substitute the expression from Step 1 into the other equation.

3) Solve the resulting equation.

4) Substitute the solution in Step 3 into one of the original equations to find the other variable.

5) Write the solution as an ordered pair.
5 0
2 years ago
PLEASE HELP WILL MARK BRAINLIEST
Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

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

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

7 0
3 years ago
Fraction less than 1/2
fiasKO [112]
1/4 is the answer is is a lower fraction
8 0
3 years ago
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