find the measure of the line segment RQ​

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]

Answer: [tex]d = 103.23 miles[/tex] apart.

Step-by-step explanation:

given data:

ship a = 20miles. = 60miles

ship b = 28miles. = 84miles

time interval = 3hrs.

θ = 90

[tex]d = \sqrt{a^{2}+b^{2}-2ab (cos90) }[/tex]

[tex]d = \sqrt{60^{2}+84^{2}-2(60)(84) *(cos90) }[/tex]

[tex]d = \sqrt{3600+7056-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-10080*(cos90) }[/tex]

[tex]d = \sqrt{10656-0[/tex]

[tex]d = \sqrt{10656[/tex]

[tex]d = 103.23 miles[/tex]

Answer:

k=-16

Step-by-step explanation:

-10=k+6

subtract 6 both both sides to isolate the variable

-16=k

Happy Holidays!!

Answer:

K= -16

Step-by-step explanation:

k=( -10)_6

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Answer:

l = 23 cm and w = 5.7 cm

Step-by-step explanation:

Perimeter = twice the length plus twice the width

let w = width

let l = length

l = 5.9 + 3w

57.4 = 2(5.9 + 3w) + 2w

57.4 = 11.8 + 6w + 2w

57.4 = 11.8 + 8w

45.6 = 8w

w = 5.7

Substitute 5.7 for 'w' to get 'l':

l = 5.9 + 3(5.7)

l = 23

Answer:

Step-by-step explanation:

1). g(x) = -0.5x

   Equation form of the given function is,

   y = -0.5x

 Interchange x and y,

  x = -0.5y

  Solve for y,

  y = [tex]-\frac{x}{0.5}[/tex]

  y = -2x

  Inverse function will be,

  [tex]g^{-1}x=-2x[/tex]

2). h(x) = 4x

   Equation form of the function will be,

   y = 4x

   Interchange x and y,

   x = 4y

   Solve for y,

   y = [tex]\frac{x}{4}[/tex]

   Inverse function will be,

   [tex]h^{-1}(x)=0.25x[/tex]

3). y = x - 4

    Interchange x and y,

    x = y - 4

    Solve for y,

    y = x + 4

    Therefore, inverse of the linear equation is,

    y = x + 4

4). f(x) = [tex]\frac{x}{2}[/tex]

    Equation form of the function will be,

    y = [tex]\frac{x}{2}[/tex]= x

     Interchange x and y,  

     x = [tex]\frac{y}{2}[/tex]

    Solve for y,

     y = 2x

     Therefore, inverse function will be,

     [tex]f^{-1}(x)=2x[/tex]

5). k(x) = x

     Equation form of the function will be,

     y = x

     Interchange x and y,

     x = y

     Solve for y,

     y = x

     Inverse of the function 'f' will be,

     [tex]k^{-1}(x) =x[/tex]

6). p(x) = x + 4

     Equation form of the function will be,

     y = x + 4

     Interchange x and y,

     x = y + 4

     Solve for y,

     y = x - 4

     Inverse of the function 'p' will be,

     [tex]p^{-1}(x)=x - 4[/tex]

Answer:

C

Step-by-step explanation:

It has to be either A or C because the function is decreasing as you move left to right, this only occurs when the number inside parenthesis is less than 1.

It isn't A because if you plug in x=0, the value is 2, but on the graph it is greater than 2.

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Answer:

rectangle

Step-by-step explanation:

Answer:

D (6,2)

Step-by-step explanation:

2x6+2=14 2x6= 12 12+2= 14

5x6-2=28 5x6=30 30-2=28

9 is the answer I hope this helped

Answer:

(6,-6)

Step-by-step explanation:

1. -10x-15y=30

-10x-15y+15y=30+15y

-10x/-10=30+15y/-10

x=-3 -3/2

plug in the other equation and solve for y

-9x-5y=-24

-9(-3-3/2)-5y=-24

y=-6

plug -6 in for y in one of the original equations

-9x-5y=-24

-9x-5(-6)=-24

solve for x

x=6

wonderful

Answer:

9x + 2y

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

7x - 3y + 2x + 5y

Step 2: Simplify

Answer:

70 degrees

Step-by-step explanation:

Step-by-step explanation:

2.3 * (-1.2)

= -2.76.

Hence the answer is -2.76.

Answer:

[tex]\Large \boxed{\sf -2.76}[/tex]

Step-by-step explanation:

Answer:

360 cookies

Step-by-step explanation:

60 times 6= 360

Answer:

xy

2xy

4

Step-by-step explanation:

A factor is a number of term you can factor out of each part of the expression/ or divide it by.

In -24xyz - 12xy + 20xyz

All three parts have xy, so it is a factor

All three don't have 12xz, because -12xy doesn't have z variable for instance.

All three have 2xy.

All three can't factor out 3y, because you can't divide 20 by 3 nicely.

All three can't factor out 4yz, because middle term -12xy doesn't have z.

All three can't factor out 12, because you can't nicely divide 20/12.

All three can factor out 4, because -24, -12, and 20 are all divisible by 4.

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Answer:

(40,35)

Step-by-step explanation:

Well we can immediacy eliminate 2 options for ow becuase if you add them up they don’t equal 75 and in the equation it asked for x+y=75.

Now we just test out each x and y possibility

We know 5x+3 > 300

So lets try the first one

30 is x

45 is Y

5*30=150

45*3=135

Now if you add them

285

285 is not greater than 300 so thats wrong

SO B is correct

But lets check just in case

5*40=200

3*35= 105

305 IS greater than 300

305 > 300

SO B is correct

The point (40,35)

Answer:

The food will last for 20 days

Step-by-step explanation:

The equation of the inverse proportional is xy = k, where k is the constant of variation

∵ In a hostel of 40 students, there is food for 30 days

→ That means the food is the constant k and the number of days y

   varies inversely with the number of students x

∴ x = 40 and y = 30

∵ xy = k

∴ 40 × 30 = k

∴ 1200 = k

∴ The equation of the inverse proportional is xy = 1200

∵ 20 more students join the hostel

→ That means the number of students increased by 20

∴ The number of students in the hostel = 40 + 20

∴ The number of students in the hostel = 60

→ By using the equation above

∵ 60 × y = 1200

∴ 60y = 1200

→ Divide both sides by 60

∴ y = 20

∴ The food will last for 20 days

9514 1404 393

Answer:

  44 minutes

Step-by-step explanation:

We are given f(1) = 28.

Using the recursive formula ...

  f(2) = f(1) +8 = 28 +8 = 36

  f(3) = f(2) +8 = 36 +8 = 44

Jeff read 44 minutes after 3 days of summer.

Answer:

3.2 cakes a hour

Step-by-step explanation:

Answer:

23358.1

Step-by-step explanation:

Answer:

216.2

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\c=3959+5.9\\\\b=3959\\\\a=x\\\\\\(x)^2+(3959)^2=(3964.9)^2\\\\x^2=(3964.9)^2-(3959)^2\\\\x^2=(3964.9-3959)(3964.9+3959)\\\\x^2=5.9(7923.9)\\\\x\approx 216.2[/tex]

Answer:

21

Step-by-step explanation:

24 x 7 = 168

168 / 8 = 21

8 x 21 = 168

168 = 168

Answer: 21

Answer:

128

Step-by-step explanation:

Sam has X stamps.

Jill has (576-X) Stamps.

X-x/7 = 6x/7 = Sam's bal.

576-x + x/7 = 576 - 6x/7 = Jill's bal.

1/4(576-6x/7) = 144 - 6x/28

3/4(576-6x/7) = 432 - 9x/14 = Jill's new

bal.

6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =

144 + 9x/14 = Sam's new bal.

Jill's new bal = Sam's new bal

432 - 9x/14 = 144 + 9x/14

18x/14 = 144-432 = 288

18x = 4032

X = 224

576-X = 576-224 = 352.

Difference = 352 - 224= 128

Answer:

12 miles in one hour

Step-by-step explanation:

60 minutes in an hour

60/15= 4

4*3=12

Answer:

-3+-2

Step-by-step explanation:

Answer:

y=4x +7 (top-left)

Step-by-step explanation:

They have the same exact slope meaning they can not cross.

The only time they would cross is if they had the same y-intercept. Which they  don't

Answer:

B

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2 is 1/6th of 12

5 is 1/6th of 30

Answer:

C.) 6

Step-by-step explanation:

I multiplied the number 2 by X and my sum was Y.

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A