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Work Shown:

AC/QS = BC/RS

4/10 = m/15

4*15 = 10*m

60 = 10m

10m = 60

m = 60/10

m = 6

The first equation is possible because the triangles are similar. The horizontal sides AC and QS form the ratio AC/QS. This is equal to the ratio of the diagonal sides BC/RS since similar triangles have their sides in proportion.

After the equation is set up, we cross multiply and then solve for m.

Answer:

8 7/8 is the correct answer

Step-by-step explanation:

hope this helps

[tex]x - 2 \frac{5}{8} = 6 \frac{1}{4} [/tex]

[tex]x - \frac{21}{8} = \frac{25}{4} [/tex]

[tex]x = \frac{50}{8} + \frac{21}{8} [/tex]

[tex]x = \frac{71}{8} [/tex]

[tex]x = 8 \frac{7}{8} [/tex]

Answer:A

Step-by-step explanation:

The solution is in the file below

The associated z score for filling to 10.98 oz. is -1.16.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

where x is the raw score, μ is the mean and σ is the standard deviation.

Given that μ = 12.01, σ = 0.89, hence:

For x = 10.98:

z = (10.98 - 12.01)/0.89 = -1.16

The associated z score for filling to 10.98 oz. is -1.16.

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4 granola bars is $9.00 12 granola bars is $27.00 24 granola bars is $54.00

Answer:

Step-by-step explanation:

Batch A

Batch B

Batch C

General equation would be:

Answer: j=2.5s

Step-by-step explanation:Got answer from Khan

Answer:

No

Step-by-step explanation:

Simplify : Distribute

4(4b+5c)

16b+20c

Hence, 4(4b+5c) equal to 16b+20c.

Answer:

200

Step-by-step explanation:

Let the number = x

[tex]One-fifth \ of \ a \ number = \dfrac{1}{5}x\\\\\\5 \ more \ than \dfrac{1}{5}x =\dfrac{1}{5}x+5\\\\\\one-fourth \ of \ the \ same \ number = \dfrac{1}{4}x\\\\\\5 \ less \ than \dfrac{1}{4}x=\dfrac{1}{4}x-5\\\\\\\\\dfrac{1}{5}x+5=\dfrac{1}{4}x-5\\\\\\\dfrac{1}{5}x=\dfrac{1}{4}x-5-5\\\\\\\dfrac{1}{5}x-\dfrac{1}{4}x=-10\\\\\\\dfrac{4}{20}x-\dfrac{5}{20}x=-10\\\\\\\dfrac{-1}{20}x=-10\\\\\\x= -10*\dfrac{20}{(-1)}\\\\\\x=200[/tex]

Answer:

infinite solutions

Step-by-step explanation:

y = 2x + 6

when x = 0,  y = (2 x 0) + 6 = 6  ⇒  (0, 6)

when y = 0,  0 = 2x + 6  ⇒  x = 3  ⇒ (3, 0)

Plot the two points and draw a line through them

3y = 6x + 18

divide everything by 3  ⇒  y = 2x + 6

Therefore, y = 2x + 6 equals 3y = 6x + 18

So the lines overlap (produce the same graph)

Therefore, the system will have infinite solutions

Answer:

1.d

2.b

3.c

4.d

5.c

Step-by-step explanation:

1. f(x) + g(x) = x - 11.

2. f(x) - g(x) = - 3x + 9.

3. f.g = 30x² + 28x - 6, all real numbers.

4. f/g = x + 4, all real numbers, x ≠ 4.

5. It doesn't matter which discount is applied first the result is the same.

When the output of one function is given to the input of another function they are called composite functions.In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

1. f(x) = - 5x - 4 and g(x) = 6x - 7.

Therefore, f(x) + g(x) = - 5x - 4 + 6x - 7.

f(x) + g(x) = x - 11.

2. f(x) = 3x + 2 and g(x) = 6x - 7.

Therefore, f(x) - g(x) = 3x + 2 - (6x - 7).

f(x) - g(x) = 3x + 2 - 6x + 7.

f(x) - g(x) = - 3x + 9.

3. f(x) = 5x + 3 and g(x) = 6x - 2.

Therefore, f.g = f(x)×g(x) = f(x).g(x).

f.g = (-5x + 3)(6x - 2).

f.g = -30x² + 10x + 18x - 6.

f.g = 30x² + 28x - 6.

The domain is all real numbers no restrictions.

4. f(x) = x² - 16 and g(x) = x + 4.

Therefore, f/g = f(x)/g(x).

f/g = (x² - 16)/(x + 4)(x - 4).

f/g = (x + 4)(x - 4)/(x - 4).

f/g = x + 4.

The domain of f/g is all real numbers except x ≠ 4.

5. Let, The original amount be 100.

25% off on 100 is 75 and 10% off again is 75 - 7.5 = 67.5.

Again, 10% off on 100 is 90 and 25% off on 90 is 90×0.75 = 67.5.

So, Both way is the same.

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Answer:

[tex]\sin B=\displaystyle\frac{b}{c}[/tex]

Step-by-step explanation:

Hi there!

This is the sine ratio:

[tex]\sin\theta=\displaystyle\frac{opposite}{hypotenuse}[/tex] where "opposite" is the side opposite the angle, "hypotenuse" is the hypotenuse of the right triangle and theta is the angle.

To find sin B, we must identify which sides of the triangle are the opposite side and the hypotenuse.

The side opposite to angle B would be b.

The hypotenuse is the side opposite the right angle, and that would be c.

[tex]\sin B=\displaystyle\frac{b}{c}[/tex]

I hope this helps!

Answer:

The choice second

[tex] \sin( B) = \frac{b}{c} [/tex]

Step-by-step explanation:

sin B = opposite/hypotenuse

Answer:

area = 36 m^2

perimeter = 34m

Step-by-step explanation:

Area of a trapezoid is calculated by the following formula:

(a+b)/2 * h (a: base, b: base, h:height)

(6+12)/2 * 4 = 36 the area is 36 m^2

The perimeter is calculated by adding all side lengths or multiplying the sum of non-parallel sides by 2

Only the measure of AB=AC is missing to find it we can use the method in attached photo

and the perimeter is:

(12+5)*2 = 34

Answer:

y = [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex]

x = 9

Step-by-step explanation:

this triangle is isosceles because the base angles are each 45°

the ratio of sides in a 45-45-90° triangle are 1 : 1 : [tex]\sqrt{2}[/tex]

so 'y' is going to also be [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex]

'x' will be [tex]\sqrt{2}[/tex] multiplied by  [tex]\frac{9}{2}[/tex][tex]\sqrt{2}[/tex] which will be:

[tex]\frac{(9x2)}{2}[/tex] = 9

A) Disagree, The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

B) A vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, We know that;

The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

Therefore, the parent function would not move three units to the left.

It seems that Sam has a misconception about vertical and horizontal transformations.

For clarify, a vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

Thus, We get;

A) Disagree, The transformation f(x) + 3 represents moving the graph vertically up by 3 units.

B) A vertical transformation involves changing the y-coordinate of the graph, while a horizontal transformation involves changing the x-coordinate of the graph.

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Answer: A. x > -8

Step-by-step explanation: have a wonderful day!!!!!!!!

Answer:24 degrees

Step-by-step explanation:

94+41 = 135 degrees

180 - 135 = 45 degrees

111 + 45 = 156 degrees

180 - 156 = x = 24 degrees

Hope I could help :)

Please Mark brainliest

Answer:

Step-by-step explanation:

One angle is shared and the sum of interior angles is 180:

Answer:

a) 82

b) 144

c) 75

d) 150

e) 241

f) 80

Step-by-step explanation:

There is a total of 360 degrees in a circle. To find the missing angles, you just have to add all of the other angles and subtract them from 360.

Answer: 6

Step-by-step explanation:

Since the 3 semicircles are identical, we know that each semicircle has a diameter of 4, meaning they each have a radius of 2.

We can use the fact that (arc length of semicircle) = (pi)(r) to get the arc length of each to be 2pi.

Meaning 2pi + 2pi + 2pi = 6pi.

[tex] \huge \boxed{ \tt positive}[/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ - 11}{ - 3} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ \cancel- 11}{ \cancel - 3} [/tex]

[tex] \\ \\ [/tex]

[tex] \longrightarrow \sf \dfrac{ 11}{ 3} [/tex]

Answer:

The answer is -19 because 127 - -6 will equal 133 and divided by -7 will equal the answer -19.

Answer:

-17.28

Step-by-step explanation:

-7x +6= 127

-7x = 127-6

-7x= 121

x= -17.28

Hey there!

6/11 = c/11

6(77) = c(11)

6(77) = 11(c)

462 = 11c

We got the new equation above because we had to CROSS MULTIPLY.

11c = 462

DIVIDE 11 to BOTH SIDES

11c/11 = 462/11

CANCEL out: 6/6 because it give you 1

KEEP: 462/11 because it help solve for the c-value

NEW EQUATION: c = 462/11

SIMPLIFY IT!

c = 42

Therefore, your answer is: c = 42

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: 12

Step-by-step explanation:

Distribute the 9(x-11) first. If you distribute it, it becomes 9x-99

9x-99=9

Add 99 to both sides

9x=108

Divide by 9 on both sides

X=12

1. Observe problem

I think 200ft and 125 ft are both sides, so:

sqrt(200^2+125^2) is 25sqrt{89}

which is

235.84952

Answer:

ok so first we know that 1/3 of a hour is 20 minutes since

60*1/3=20

so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15

20*15=300

300 minutes or 5 hours

Hope This Helps!!!

Answer:

5 Hour

Step-by-step explanation:

For 1/15 of lawn it takes = 1/3

So, for entire lawn it will take = 1/3 * 15 = 5

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[RevyBreeze]

Answer:

The speed of the wind is 40mph, the speed of the plane in still air is 360mph

Step-by-step explanation:

distance = speed * time

Both legs of the trip are 800 miles, let 'x' represent the speed of the plane in still air and 'w' represent the speed of the wind, then 'x+w' represents the speed with the wind and 'x-w' represents the speed into the wind

800 = (x-w)2.5

800 = (x+w)2

Rewrite equations:

800=−2.5w+2.5x;800=2w+2x

Steps: Solve 800=−2.5w+2.5x for w:

800=−2.5w+2.5x

800+2.5w=−2.5w+2.5x+2.5w(Add 2.5w to both sides)

2.5w+800=2.5x

2.5w+800+−800=2.5x+−800(Add -800 to both sides)

2.5w=2.5x−800

2.5w/2.5 = 2.5x - 800 / 2.5 (Divide both sides by 2.5)

w=x−320

Step: Substitute x−320 for w in 800=2w+2x:

800=2w+2x

800=2(x−320)+2x

800=4x−640(Simplify both sides of the equation)

800+−4x=4x−640+−4x(Add -4x to both sides)

−4x+800=−640

−4x+800+−800=−640+−800(Add -800 to both sides)

−4x=−1440

-4x/-4 = -1440/-4 (Divide both sides by -4)

x=360

Step: Substitute 360 for x in w=x−320:

w=x−320

w=360−320

w=40(Simplify both sides of the equation)

solving this system we have:

w=40

x=360

Therefore, the speed of the wind is 40mph, the speed of the plain in still air is 360mph