RS= 6x-8

UV= 4x+2


write and solve an equation to find the value of x (show work)


What is the length of RS


What is the length of UV

Readers can learn various information related to an airplane flight.

Fly through the sky is a children's song in which different aspects of an airplane flight are described in a simple and direct way. Some of the aspects that a person can learn by reading the lyrics of the song are:

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Answer:

Hey There!

Let's solve...

[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]

[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]

So final answer is a=3

The value of a in the equation is 3

The equation is given as:

[tex]\frac{a}{a+2} =\frac 35[/tex]

Start by cross multiplying the above equation

[tex]5 \times a = 3 *(a + 2)[/tex]

Simplify each product

[tex]5a =3a + 6[/tex]

Collect like terms

[tex]5a -3a = 6[/tex]

Evaluate the difference

[tex]2a = 6[/tex]

Divide both sides by 2

[tex]a = 3[/tex]

Hence, the result of the equation is 3

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The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)

If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].

Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

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Answer:

32p + 24

Step-by-step explanation:

Distribute the 8 to each term

8 * 4p = 32p

8 * 3 = 24

Answer:

bro pls someone hurry i need help

Step-by-step explanation:

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

Answer:

= -2.554

Step-by-step explanation:

BODMAS  Rule:

Brackets, O-Orders (powers/indices or roots), D-Division, M-Multiplication, A-Addition, S-Subtraction.

-4/3 = -1.33333333333

-2/3 = -0.66666666666

-5/9 = -0.55555555555

-0.555+(-1.333)-0.666

= -2.554

Step-by-step explanation:

[tex] - \frac{5}{9} + ( - \frac{4}{3} ) - \frac{2}{3} = - \frac{23}{9} [/tex]

First deal with the bracket to get

[tex] - \frac{5}{9 } - \frac{4}{3} - \frac{2}{3} [/tex]

Next, find the L.C.M which is 9

[tex] \frac{ - 5 - 4 \times 3 \times - 2 \times 3}{9} [/tex]

[tex] \frac{ - 5 - 12 - 6}{9} = - \frac{23}{9} [/tex]

Answer:

12.292 or 1.708

Step-by-step explanation:

1#60 -  (2 • (x + 7)2 +  4)  = 0

2#   -2x2 - 28x - 42  =   -2 • (x2 + 14x + 21)

3#x2 + 14x + 21 =  -2 • (x2 + 14x + 21)  = 0

[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]

[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]

[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]

[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]

Answer:

3/8

Step-by-step explanation:

(-1-(-4))/(0-(-8))

=3/8

Therefore, the total cost of the patio is $352.

Hoped this helped!

[tex]BrainiacUser1357[/tex]

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

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Answer:

12

Step-by-step explanation:

Theres 6 5's in 30. ( 5,10,15,20,25 and 30.)

There is 2 eggs in every 5 dozen cookies, ( 5d, 2, 10d, 4, 15d, 6, 20d, 8, 25d, 10, 30d, 12.) The d means dozen by the way...

I am so sorry if you use this and get it wrong!! I am not good at math!! And i am sorry, this is probably confusing >-<

Answer:

225 km

Step-by-step explanation:

75 · 3 = 225

Answer:

225 km

Step-by-step explanation:

Distance = Speed × Time

Distance = 75km/h × 3

Distance = 225km

Answer:

3:15 pm

Step-by-step explanation:

You can imagine that they go in a circle (we can do whatever we want in theoretical math and physics). By doing so we know we can obtain a cosinusoidal wave by projecting the motion on a plane. Each one of the buses has a period (minimum time after what they're in the same point again). For the first one it's 15 minutes, for the second one it's 20 minutes. We have to take the least common multiple of the periods, that is 75 minutes. So They'll meet every 75 minutes. Add 75 minutes (1h and 15 minutes) to 2pm and there you go.

What the judge should do is adhere strictly to the rules.

This is so because, in case of not abiding by the rules, the referee would be allowing the players to modify the sport at will, which would go against the stability of the game and the predictability of the rules.

Therefore, in case the captains want to modify the rules, in any case they should contact the governing association of the sport to request said modifications.

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The referee will have to allow halftime interval as a result of one of the

players wanting it.

Every sport has rules which guides the game to ensure fair play and  prevent

confusion from happening. Referee decisions are based on the rule of the

game but can also be negotiated.

In this scenario, if all the players wanted eliminate the halftime interval, it

could have been honored .But in this case, the referee has to follow the rules

of the game due to the other player disagreeing with the suggestion.

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Answer:

y = - 1 , x = 4

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (4, - 1 ) with y- coordinate - 1 , then

y = - 1 ← equation of horizontal line

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 1 ) with x- coordinate 4 , then

x = 4 ← equation of vertical line

Format of my answer:

[Problem letter] Parallel Lines

- Converse / Reason

!! I am not sure which / what converses you are using, but I gave the reasoning for it. If you see something similar, use the converses you know !!

[a] j & k

- If two lines intersected by a  transversal form congruent alternate interior angles, then the lines are parallel

[b] m & n

- If angles are supplementary in this placement, the lines are parallel

[c] l & n

- If angles are equal when they are corresponding, the lines are parallel

[d] l & m

- If two angles that are congruent are vertical, the lines are parallel

[e] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[f] l & n

- If angles are supplementary in this placement, the lines are parallel

[g] l & n

- If two angles that are congruent are vertical, the lines are parallel

[h] -------

[i] l & n

- If two angles that are congruent are vertical, the lines are parallel

[j] -------

[k] -------

[l] j & k

- If two lines intersected by a  transversal form congruent corresponding angles, then the lines are parallel

[m] -------

[n] j & k

- If angles are supplementary in this placement, the lines are parallel

[o] -------

-> See attached for more information

Have a nice day! - hopefully these are mostly correct, been awhile since I've done this

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

What's the question?

Step-by-step explanation:

Answer:

B. Up

Step-by-step explanation:

If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.

Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.

Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.

The answer to your question is UP.

Answer:

8.40665 cups

Step-by-step explanation:

hope this is helpful!

Answer:

9

Step-by-step explanation:

48

Step-by-step explanation:

idek I just need tge points so don't put what I put

Answer:

-8

Step-by-step explanation:

1. Simplify

2/3 (9x - 12) -6x —-> 2 (9x - 12) -6x/3

2. Distribute

2(9−12)/3 -6x

18x - 24/3 -6x

3. Find common denominator

18 −24/3 + 3(-6)x/3

4. Combine fractions with common denominator

18−24+3(−6)/3

5. Multiply the numbers

18−24+3(−6)/3 ——> 18−24−18/3

6. Combine like terms

18−24−18/3 ——> -24/3

7. Cancel terms that are in both the numerator and denominator

−24/3

−8

Hope it helps! Have a great day! :D

im lazy to solve in my paper hope it helps

We conclude that the triangles are congruent, so the statement is true.

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

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Answer:

x <= -6.33333

(>= is greater than or equal to)

(<= is less than or equal to)

Step-by-step explanation:

7 - 3(x+5) >= 11

7 - 15 - 3x >= 11

-8 - 3x >= 11

-3x >= 19

x <= 19/-3

x <= -6.33333

please mark brainliest

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Seven less than three times the sum of a number and 5 is at least 11.

The sum of the a number (x) and 5 is given as,

⇒ (x + 5)

Three times the sum of a number and 5 will be given as,

⇒ 3(x + 5)

Seven less than three times the sum of a number and 5 will be

⇒ 3(x + 5) - 7

Seven less than three times the sum of a number and 5 is at least 11. Then the inequality will be

3(x + 5) - 7 ≥ 11

Simplify the inequality, then the value of x will be

3(x + 5) ≥ 18

   x + 5 ≥ 6

         x ≥ 1

The inequality 3(x + 5) - 7 ≥ 11 is satisfied for this x ≥ 1 condition.

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Answer:

b

Step-by-step explanation:

90×(2)

= 180

each mile is equal to 90 calories

therefore 2 miles is equal to 180