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The measure of angle b is 112° and the measure of angle c is 68°

From the question, we are to determine the measures of the missing angles

From the diagram,

b = 112° (Vertically opposite angles)

∴ b = 112°

Also,

112° + c = 180° (Sum of angles on a straight line)

c = 180°- 122°

∴ c = 68°

Hence, the measure of angle b is 112° and the measure of angle c is 68°

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The cuboid can hold 27.2 cubic inches of popcorn

A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.

Analysis:

Volume of cuboid = length x width x height

                              = 5 x 3 x 29/4 = 108.75 cubic inches

When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches

In conclusion, the volume of the cuboid is 27.2 cubic inches.

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An equation is formed of two equal expressions. The number of seats in row 18 will be 119.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) Given the number of seats that the first row can have is 11, while the number of seats that the next row should have is six more than the previous one. Therefore, the number of seats will increase linearly.

Thus, the equation for the number of seats in any row can be given as y=11+6x, where y is the number of seats and x is the number of row.

B.) The number of seats in row 18 will be equal to,

y = 11 + 6x

y = 11 + 6(18)

y = 11 + 108

y = 119

Hence, the number of seats in row 18 will be 119.

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Answer:

x = 1

Step-by-step explanation:

-33 + 8x = -9x - 18 + 2

8x+ 9x = -18 + 2 + 33

17x = -16 + 33

17x = 17

x = 1

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[tex]~~~~~~~c = \dfrac{a^2 +3b}{4}\\\\\implies 4c = a^2 +3b\\\\\implies 3b = 4c-a^2\\\\\implies b = \dfrac{4c-a^2}{3}[/tex]

Answer:

b = [tex]\frac{(4c-a^2)}{3}[/tex]

Step-by-step explanation:

[tex]c=\frac{a^{2}+3b }{4}[/tex]

First, let us multiply both sides by 4.

4c = a² + 3b

Now let us take a² to the left side.

4c - a² = 3b

Now to make b as the subject let us divide both sides by 3.

[tex]\frac{(4c-a^2)}{3} =\frac{3b}{3}[/tex]

Therefore,

b = [tex]\frac{(4c-a^2)}{3}[/tex]      

Answer:

[tex]6n \geq -24[/tex]

Step-by-step explanation:

First let's provide a variable for "a number" and call it [tex]n[/tex].

So "six times a number" could be written as [tex]6*n[/tex].

"Is at least" in mathematical terms means "greater than or equal to" or

≥

Putting this altogether gives the expression:

[tex]6n\geq -24[/tex]

the answer is XG and that is the answer to your question ❓ ok she will he hi she

Explanation:

Normally x = 1 maps to y = f(x) = 1 for the parent function f(x) = x^2

However, the red curve shows x = 1 leads to y = 16 instead. This is a jump of "times 16"

We must multiply the f(x) outputs by 16 to get the g(x) outputs.

g(x) = 16*f(x)

g(x) = 16x^2

Answer:

B: r² + 2r = 4

Explanation:

[tex]\rightarrow \sf 3x^2+6x=12[/tex]

divide both sides by 3

[tex]\rightarrow \sf x^2+2x=4[/tex]    ← This is the result of the first step.

factor out the common term

[tex]\rightarrow \sf x(x+2) = 4[/tex]

set to 0

[tex]\rightarrow \sf x = 4, \ x+2 = 4[/tex]

simplify

[tex]\rightarrow \sf x = 4, \ x= 2[/tex]

Divide all terms by a i.e 3

We get

Or

Option B is correct

[tex]\large{\underline{\underline{\pmb{\sf{\color{yellow}{Answer:}}}}}}[/tex]

[tex] \sf x - \frac{4}{x} + C[/tex]

Step-by-step explanation:

[tex] \sf \longmapsto \int \frac{ {x}^{2} + 4 }{ {x}^{2} }dx \\ \\ \\ \sf \longmapsto \int \frac{ {x}^{2} }{ {x}^{2} } dx + \int \frac{4}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto \int 1dx + 4 \int \frac{1}{ {x}^{2} } dx \\ \\ \\ \sf \longmapsto x + 4( \frac{{x}^{ -2 + 1}}{ -2 + 1} ) + C \\ \\ \\ \boxed{ \longmapsto x - \frac{4}{x} + C} [/tex]

Answer:

The correct answer is 742,000

Step-by-step explanation:

Answer:

742,000

Step-by-step explanation:

Please give me brainlist

Answer:

Step-by-step explanation:

Proof

AB||CD                          Given

<1 = <2                           Given

<2 = <3                          Alternate interior angles of Parallel lines

<1 =  <3                          Substitution for <2 from Given.

AC = AB                        the sides opposite equal angles are equal

Answer:

CE = 4.6 ft

Step-by-step explanation:

(a)

given 2 secants drawn from an external point to the circle , then

the product of the external part of one secant and the entire secant is equal to the product of the other secant's external part and that entire secant, that is

BE × BC = AB × DB

(b)

substituting given values into the equation

BE × 10 = 3 × 18

10 BE = 54 ( divide both sides by 10 )

BE = 5.4 ft

then

CE = CB - BE = 10 - 5.4 = 4.6 ft

Answer:

D) 65°

Step-by-step explanation:

Use Snell's Law

[tex]n_1\sin\theta_1=n_2\sin\theta_2\\\\1.00\sin\theta_1=1.47\sin38^\circ\\\\\sin\theta_1=1.47\sin38^\circ\\\\\theta_1=\sin^{-1}(1.47\sin38^\circ)\\\\\theta_1\approx64.83^\circ[/tex]

Thus, the angle of incidence is D) 65°

Answer: A.) y=4+x

Step-by-step explanation:

The volume of the rectangular piece with sides of lengths of 7.08 × 10–3 m, 2.18 × 10–2 m, and 4.51 × 10–3m is 6. 96 × 10^ -7 m

Volume is defined as the amount of space or capacity occupied by a three-dimensional shape.

It is represented in cubic units.

Formula:

Volume, V = length × breadth × height

Given the values;

7. 08 × 10 ^-3m , 2.18 × 10^ -2m and 4. 51 × 10^-3m

Multiply all the lengths

Volume = 7. 08 × 10 ^-3 × 2.18 × 10^ -2 × 4. 51 × 10^-3

= 69.6 × 10^-8

= 6. 96 × 10^ -7 m

Therefore, the volume of the rectangular piece is 6. 96 × 10^ -7 m

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Answer:

A

Step-by-step explanation:

trust

Step-by-step explanation:

I think 2.20e23 because it said bodies not body

Answer:

2 feet

Step-by-step explanation:

1 foot = 12 inches

2 feet=24 inches

Answer:

2 feet

Step-by-step explanation:

12 x 2 is 24.

Answer:

See below

Step-by-step explanation:

mx + b = y           subtract 'b' from both sides of the equation

mx = y - b            now, divide both sides by 'x'

m  = (y-b)/x

I used exemplar. the mean means add all the numbers and divide it buy how many there are.

5 + 7 + 9 = 21

21/3 = 7

0 3 4 6 6 7 7 7 9

Median = 6  (the middle number)

Mode = 7 (the most common number)

Range = 9 (Biggest number - smallest number)

Hope this helps!

If not then let me know!

Answer: f(x) = x - 2x² + 1

              x=-b/2a

              (1/4,9/8

   2.      f'(x) = 4x³ - 4x

            ((\sqrt(3))/(3),-(8\sqrt(3))/(9))is a local minima

             (-(\sqrt(3))/(3),(8\sqrt(3))/(9))is a local maxima

Step-by-step explanation: hopes this help

                                        please mark me as a brainliest

Answer:

slope = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = [tex]\frac{8-6}{-2-4}[/tex] = [tex]\frac{2}{-6}[/tex] = - [tex]\frac{1}{3}[/tex]

The answer is:
   " m∠BAC = 45° ;  m∠ABC, = 64° ; and:  m∠ACB = 70° ."
__________

Step-by-step explanation:

To find the measure of ∠BCA {"m∠BCA"} :

<BCA is supplementary to " 110 " ; that is, both, or all, of all the measurements that form a "line or line segment";  or any portions thereof,

that can be written in:  "slope-intercept format"

  that is, on Cartesian plane:  " y = mx + b " ;

  in which:  "y" is isolated on the "left-hand side" of the equation; as a single, isolated variable;

  and in which:  "m" is the "slope" (if applicable); and the coefficient to the "x"  value'

  and in which "b" is the "y-intercept"; or more precisely"
    the value of the "y-coordinate"—in: "(x, y)" format —at which:
    " x = 0" ; that is, in the format:  " (0, b)."
_________________
So, to find
m∠BCA :  Subtract our given value, "110" ; from "180" ; as follows:
_________________

  " (180 − 110) = 70" ;
__________________
Now:   Note a triangle, by definition, has 3 (three) sides and 3 (three) angles—and all three (3) angles of a triangle add up to 180°.

So:  We just solved for  m∠ACB ; which is:  70° .

Now shall solve for the value of "x" ; & then find the value of all 3 (three) sides of this triangle

Since all angles within a triangle add up to 180: Let's add them up:
  " 70  +  3x + 20 + 3x = 180 " ;

 Combine the "like terms" on the "left-hand side" of the equation:
  " +3x + 3x = 6x " ;  "+ 70 + 20 = 90 ";
And rewrite the equation:
  "  6x + 90 = 180 " ;

Now, subtract "90" from Each Side of the equation:
  "  6x + 90 − 90 = 180 − 90 " ;
to get:   " 6x = 90 " ;

Now, divide Each side of the equation by "6" ;

  to isolate "x" on one side of the equation ;
    and to solve for "x" :
   " 6x / 6 = 90 / 6 ;

to get:  " x = 15 " ;
________________
Now, we are asked to find:
1)  " m∠BAC = 3x " ;  Plug in "15" for "x" ; and solve:
                     "3x = 3(15) = 45 " ;
2)  " m∠ABC = "(3x + 20)" ; Plug in "15" for "x"; and solve:
                     "3(15) + 20 = 45 + 20 = 65 " ;
3)  " m∠ACB  = 70 " ; (as per our calculated value);

To check our work—do these 3 (three) numbers add up to 180?

   "45 + 65 + 70 =? 180 ? " ;

   " 110 + 70 = " 180 "? Yes!
__________
So: The answer is as follows:
   " m∠BAC = 45° ;  m∠ABC, = 64° ; and:  m∠ACB = 70° ."
__________
Hope this is helpful to you!  Best wishes!

Answer:

K=4.44444444444

Step-by-step explanation:

k/6=15/18.

Cross multiply.

k*18=18k.

6*15=80.

18k=80.

18k/18=80/18.

k=4.44444444444

Answer:

2M + 3  hrs

Step-by-step explanation:

Lisa spent doing her mathematics homework = M  hrs

the amount of time spent watching television was 3 hours more than twice the time she spent doing her mathematics homework.

lisa spent on watching television = 2M + 3  hrs

Total time spent on these two activities = M + 2M + 3

= 3M + 3 hrs

3 M  +  3 = 30

=> 3M  = 27

M = 9

The worth of the cd at the end of 7 years will be $384,101.79.

When an investment earns an interest that is compounded continuously, it means that it earns interest continuously.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

2375 x (e^3.14) x 7 = $384,101.79

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Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%

To solve this, we need to use our trigonometric equations:

 ⇒ look at the diagram attached

Let's examine what the problem wants:

Let's examine what the problem gives us:

Let's solve:

  [tex]tan(27)=\frac{x}{15} \\x=15*tan(27)\\x=7.64[/tex]

Answer: 7.6 (rounded to the nearest tenth)

Hope that helps!

The area of a regular polygon is one-half the product of its apothem and its perimeter. Often the formula is written like this: Area=1/2(ap), where a denotes the length of an apothem, and p denotes the perimeter.

Step-by-step explanation:

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