What’s the measure of QS?
A ) 6.2 mm
B) 9.5 mm
C)21.9 mm
D)22.4 mm

Please show work because I need to understand

The statement is sometimes true.

Points that are located along a single or shared straight line are referred to as collinear points. If two or more points on a line are situated either close to or far from one another, they are said to be collinear in Euclidean geometry.

Three points are automatically coplanar if they are collinear.

What was just said is sometimes true.

This is because three points along a line are typically recognized to be collinear, however it is not always the case.

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Distance ran by Jake in a day is  17.33 miles.

It is given in the question that Jake ran 121.3 miles in a week. Also, Jake ran an equal number of miles each day.

We have to find the distance ran by him in a day.

Let the distance ran by him in a day be x miles.

We know that there are 7 days in a week.

Hence, according to the data given in the question, we can write,

Number of days in a week * distance ran in a day = total distance

Hence,

7*x = 121.3 miles

Solving the linear equation, we get,

x = 121.3/7 miles

x = 17.3285 ≈ 17.33 miles

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-16m - 72k + 104  is the simplified expression .

What does a math expression mean?

the simplified expression of -8(2m + 9k-13)

 = -8(2m + 9k-13)

 = -16m - 72k + 104

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The name of the segment in the scaled copy that corresponds to segment AB is segment EF

The given parameters are:

Polygon EFGH is a scaled copy of Polygon ABCD.

This means that the corresponding points are

E = A

F = B

G = C

H = D

Remove points C and D

So, we have

E = A

F = B

Hence, the name of the segment in the scaled copy that corresponds to segment AB is segment EF

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Answer: x=1, AC=23

Step-by-step explanation:

ABC=AB+AC+BC

53=5x+18+5x+18+7

53=10x+36+7

53=10x+43

10x=10

x=1

AC=5x+18

AC=5(1)+18

AC=23

The second lawn that Makayla mows has a length of 70 feet.

If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.

A = l x w

Area of first lawn = 10 feet x 7 feet

Area of first lawn = 70 ft^2

If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:

Area of second lawn = 7 x Area of first lawn

Area of second lawn = 7 x 70 ft^2

Area of second lawn = 490 ft^2

If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.

A = l x w

Area of second lawn = l x w

490 ft^2 = l x (7 feet)

l = 70 feet

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Answer:16

Step-by-step explanation:

2x3+10

Answer:

The answer is 60

Step-by-step explanation:

10+2= 20

20x3=60

(1/2)²-6(2-2/3)

(1/2)²-6(2-2/3)

LCM=6

1/2²-6(2/1-2/3)

12-4

______

6

1/2²-6(8/6)

1-(48/36)

1-(4/3)

= -4/3

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is [tex]a^{2} +b^{2} =c^{2}[/tex].

[tex]a^{2}[/tex] and [tex]b^{2}[/tex] are the sides of the triangle squared, AB and AC. [tex]c^{2}[/tex] is the hypotenuse (the slanted side of the triangle) or BC.

So, [tex]12^{2} + 16^{2} =400^{2}[/tex]. Then you square root 400 to get your answer.

[tex]\sqrt{400}[/tex] = 20.

20 is your answer.

Step-by-step explanation:

2x + 3 = -5

2x = -8

x = -4

3x - 6 ≥ -3

3x ≥ 3

x ≥ 1

|2x + 5| ≤ - 7

NO SOLUTION

Why?

since the absolute value is always positive, there is no way that it would be less than or equal to -7

Answer:

3 hours

Step-by-step explanation:

you take the amount that was earned and divide it by the amount he works.

[tex]\frac{146.00}{10} = 14.6 per hour.[/tex]

then to find the number of hours he would have to work next week to earn $43.80 you divide the amount per hour by the amount he would have to work next week.

[tex]\frac{43.80}{14.6} = 3 hours[/tex]

Answer:

Angle Bisector I believe

Step-by-step explanation:

Apologies if I am wrong

Answer:

Step-by-step explanation:

could you explain better?

The required function is (fog)(x) = x^2 – 5x – 19  

We have been given two functions which are:

 f(x) = x^2 – 3x – 23

 g(x) = x – 1

We need to find (fog)(x) which is also equal to f(g(x)).

In this, we have to replace x with the function g(x) in the function, f(x). numerically

    f(g(x)) = g(x)^2 – 3g(x) – 23    

Now we will write the value of g(x) in the above equation. We will get

         f(g(x)) = (x-1)^2 – 3(x-1) – 23

         f(g(x)) = x^2 + 1 – 2x – 3x + 3 – 23

         f(g(x)) = x^2 – 5x – 19

Hence  (fog)(x) = x^2 – 5x – 19  is the required function.

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The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.

To find the equation:

The available points are (3,5) and (9,10).

The line's slope is given by:

[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]

The equation is as follows:

[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]

Solve it to obtain the equation:

[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]

Therefore, the equation is 5x - 12y = -75.

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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.

Answer: 4567

Step-by-step explanation:

The simple interest for R 7,500 is R 1, 800, and she will get it at 3 years with interest of 8%.

Simple interest:

Simple interest means the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

The formula used to calculate the simple interest is

SI = P × R × T

P = The principal is the amount that initially borrowed from the bank or invested.

R = Rate is the rate of interest at which the principal amount is given to someone for a certain time.

T= Time is the duration for which the principal amount is given to someone.

Given,

Cynthia receives a gift of r 7, 500 she decides to invest it for 3 years, she is offered two saving at 8% interest.

Here we need to find the simple interest.

We know that,

P = 7, 500

R = 8/100 = 0.08

T = 3

So, the simple interest is,

SI = 7,500 x 0.08 x 3

SI = 1800

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The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

For a quadratic equation:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

If D > 0, we have two real solutions.

If D = 0 we have one real solution (it is thought as two equal solutions)

if D < 0, we have two complex solutions.

In this case, the quadratic equation is:

3x^2 + 5x - 8 = 0

Then:

a = 3

b = 5

c = -8

The discriminant is:

D = 5^2 - 4*3*(-8) = 121

Then we have two real solutions.

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Answer:

C

Step-by-step explanation:

153/56= 207G

The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

Angles are bisected if they are divided into two equal parts.

If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;

2(11x + 23) = <ABC

Given the following parameters

<ABC = 25x + 34

2(11x + 23) = 25x + 34

Expand

22x +46 = 25x + 34

22x-25x = 34 - 46

-3x = -12

x = 4

Determine the measure of the angles

<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23

<ABD = 44 + 23

<ABD = 67 degrees

<ABC = 2(67)

<ABC = 134 degrees

Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.

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Answer:

5.462 is the answer because if 1.088 ounces is pineapple juice then 6.55-1.088 is the rest.

Step-by-step explanation:

Joe is going to [tex]12[/tex] minutes and [tex]18[/tex] seconds to ascend to the Sears tower's roof from street level.

Speed indicates how quickly something or someone is moving. Speed is calculated as follows: speed = distance * time. Following are the relationships between time, distance, and speed: Distance is directly related to speed and time. Time and speed are also negatively related. Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Distance is the sum of an object's movements, regardless of direction. The flow of events from the past into the future is known as time. Time only ever moves in one way. Time can go either forward or backward, but not both.

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The value of x from the given line segment is 1 2/3.

Given that, line segment AC = 5 and line segment AB = 3x - 5.

We need to find the value of x.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Since point B is the midpoint of the line segment AC.

AB=BC=3x - 5

Now, AC=AB+BC

⇒5=3x - 5+3x - 5

⇒6x=15

⇒x=15/6

⇒x= 5/3

⇒x=1 2/3

Therefore, the value of x from the given line segment is 1 2/3.

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13.41% is the cash coverage ratio.

To find the cash coverage ratio:

The cash coverage ratio is calculated as follows:

But first, the EBIDTA Is:

The Cash Coverage Ratio is now:

Therefore, 13.41% is the cash coverage ratio.

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Answer: Slope: 3

Step-by-step explanation:

Slope formula: m=(y2-y1)/(x2-x1)

m=(4-(-2))/(3-1)

m=(4+2)/2

m=6/2

m=3