What is the measure of the missing angle?)

Please explain how u got the answer so I can learn

Step-by-step explanation:

∠4 = ∠1 & ∠2 = ∠3

360 - 2(98) = ∠2 + ∠3

∠3 = 164/2

∠3 = 82°

[tex]\huge\bold{Given :}[/tex]

Angle 4 = 98°

[tex]\huge\bold{To\:find :}[/tex]

The measure of angle 3.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {∠\:3\:=\:82° }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ ∠ 3 + ∠ 4 = 180°

➪ ∠ 3 + 98° = 180°

➪ ∠ 3 = 180° - 98°

➪ ∠ 3 = 82°

Therefore, the measure of ∠ 3 is 82°.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 3+ ∠ 4 = 180°

✒ 82° + 98° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]

Answer:

B. 2x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 1

g(x) = x + 2

(f - g)(x) is f(x) - g(x)

Step 2: Find

Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Step-by-step explanation:

Firstly, complete the square to put the equation in vertex form,

y

=

−

(

x

+

3

)

2

+

1

This implies that the vertex, or local maximum (since this is a negative quadratic) is

(

−

3

,

1

)

. This can be plotted.

The quadratic can also be factorised,

y

=

−

(

x

+

2

)

(

x

+

4

)

which tells us that the quadratic has roots of -2 and -4, and crosses the

x

a

ξ

s

at these points.

Finally, we observe that if we plug

x

=

0

into the original equation,

y

=

−

8

, so this is the

y

intercept.

All of this gives us enough information to sketch the curve:

graph{-x^2-6x-8 [-10, 10, -5, 5]}

Answer:

(a) 12.3 x 45 = 554

(b) 6.7/8.9 = 0.753

9514 1404 393

Answer:

Step-by-step explanation:

The net will be a rectangle representing the lateral area. Its length will be 2π(4 in), the circumference of the box, and its height will be 9 in, the height of the box. On either side of that rectangle will be an 8-in diameter circle representing the ends of the box.

The total surface area is given by the formula ...

  SA = 2πr(r +h)

For one box, the area is ...

  SA = 2(3.14)(4 in)(4 in +9 in) ≈ 326.6 in² . . . . area of one box

__

There are 144 square inches in a square foot, so the area required for 1500 boxes is ...

  (1500)(326.56 in²)/(144 in²/ft²) ≈ 3402 ft² . . . area of 1500 boxes

Answer:

D.77

Step-by-step explanation:

Since the mean is the average first you

Add up all the values

74+75+80+76+75+81+78 = 539

Divide the product by the number of values

539÷7=77

Answer:

Kim will need to spend 67 minutes on her sixth ride

Step-by-step explanation:

Represent the number of minutes of her sixth ride by m.

Then the average number of minutes is

53 + 43 + 56 + 54 + 45 + m

---------------------------------------- = 53

                      6

Multiplying both sides of this equation by 6 yields

6(53 + 43 + 56 + 54 + 45 + m)

--------------------------------------------- = 6(53)

                        6

which simplifies to

 251 + m

---------------- = 318

or  251 + m = 318.  Subtract 251 from both sides to obtain the value of m:

m  = 318 - 251 = 67

Kim will need to spend 67 minutes on her sixth ride to attain an average ride length of  53 minutes.i

Answer:

[tex]\lim_{x \to 3} g(x) = DNE[/tex]

Step-by-step explanation:

Observations:

Conclusion:

Answer:

A.

Step-by-step explanation:

Got it right

Answer:

The answer is D. (x - 3) (x + 2)

Answer:

2nd option is the correct answer

Step-by-step explanation:

Hope it helps you in your learning process.

by simplify the equation the answer is 4905

Answer:

D

Step-by-step explanation:

2x(x^4 + 6x^2 - 27)

x^4 + 6x^2 - 27 = 0

x^2 = y

y^2+ 6y - 27 = 0

(y+9)(y-3) = 0

(x^2+9)(x^2-3) = 0

2x(x^2-3)(x^2+9)

Answer:

The answer is B

Answer:

3/25

Step-by-step explanation:

Simplify the fraction by using common factors of numerator and denominator. Now, 12% can be written as 12/100.

Step-by-step explanation:

BDC = BAC

BAC = 29°

BOC = 2BDC

= 2×29

= 58°

Answer:

m<BAC = 29 degrees

m<BOC = 58 degrees

Step-by-step explanation:

<BAC, <BDC, and <BOC share the same arc.

<BAC and <BDC are inscribed angles, and will have the same angle measure, 29 degrees.

<BAC and <BDC are inscribed angles, so their measure is 1/2 of the measure of the arc.

The measure of arc BC is 58 degrees.

<BOC is a central angle. The angle measure of a central angle is equal to the measure of the arc.

The measure of <BOC is 58 degrees.

Answer: C

Step-by-step explanation:

Simple they can't go into negative months so that can't be it. 35 months would put Mrs.Henryhard into the negatives and Mrs. Oliver into the 100 zone so it has too be C

every month (row) oliver you add 2

every month (row) for henry you take away 3

Answer:

21 is A and 23 is D

Step-by-step explanation:

Answer:

Uₙ = 22 - 3(n - 1)

Answer:

5. equalateral

6. isosceles

7. isosceles

8. isosceles

9. equalateral

10. scalene

Step-by-step explanation:

sorry if thats wrong I need measurements to be more accurate.

Answer:

Hello! answer: angle n is. 51

Step-by-step explanation:

This is a complementary angle meaning it will add up to 90 degrees so...

3 × 8 = 24 24 + 15 = 39

2 × 8 = 16 16 + 35 = 51

39 + 51 = 90 therefore angle n is 51 hope that helps!

Answer:

9.54731702 astronomical units

Step-by-step explanation:

[tex]P=a^{\frac{3}{2} }[/tex]

Substitute this value in the equation above:

[tex]29.5=a^{\frac{3}{2} }[/tex]

⇒ [tex](29.5)^{\frac{3}{2} } =a[/tex]

⇒ [tex]a=9.54731702[/tex] [tex]astronomical[/tex] [tex]units[/tex]

Hence, its distance from the sun is 9.54731702 astronomical units.

Answer:

its a

Step-by-step explanation:

on edge 2022

Answer:

a

Step-by-step explanation:

i just did it

Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

f(x) = 1500(0.97)ˣ

Answer:

W 2,3

X 5,3

Y 1,2

Z  8,4

Step-by-step explanation:

The coordinates of the Rhombus after the dilation is W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the coordinates of the rhombus be represented as WXYZ

where W' ( 1 , 0 ) , X ( 4 , -1 ) , Y ( 5 , -4 ) and Z ( 2 , -3 )

Now , the dilation scale factor is k = 3 centered at origin

So , result of this transformation is an image with the same shape as the original

The coordinates of the dilated figure is W'X'Y'Z'

where W' ( 3 , 0 ) , X' ( 12 , -3 ) , Y' ( 15 , -12 ) and Z' ( 6 , -9 )

Hence , the dilation is solved

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ2

Answer: 102

Step-by-step explanation:

Let the number of adults tickets be represented by x

Let the number of children tickets be represented by y.

We can then form an equation which will be:

x + y = 259 ....... i

6x + 5y = 1397 ...... ii

From equation i, y = 259 - x ...... iii

Put equation iii into ii

6x + 5y = 1397

6x + 5(259 - x) = 1397

6x + 1295 - 5x = 1397

Collect like terms

6x - 5x = 1397 - 1295

x = 102

The number of adult tickets that the theater sold last night is 102.

Answer:

7

Step-by-step explanation:

49.00/7.00 = 7

Answer:

Terry bought 7 apples.

Step-by-step explanation:

7 times 7 equals 49, in which Terry spent 49 dollars on apples, and each apple costs 7 dollars, therefor Terry bought 7 apples.

Answer:

Step-by-step explanation:

[tex]\frac{a -30y}{a^2 -100y^2} - \frac{10y}{10ay -a^2}[/tex]

                               [tex]=\frac{a-30y}{a^2 -(10y)^2} - \frac{10y}{-a(a -10y)}\\\\=\frac{a-30y}{(a -10y)(a+10y)} + \frac{10y}{a(a -10y)}\\\\=\frac{a(a-30y) +10y(a+10y)}{a(a -10y)(a+10y)} \\\\=\frac{a^2 - 30ay +10ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{a^2 - 20ay +100y^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)^2}{a(a-10y)(a+10y)}\\\\=\frac{(a-10y)}{a(a+10y)}[/tex]

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Given a vector < x, y > then its magnitude is

[tex]\sqrt{x^2+y^2}[/tex]

Given the directed line segment

P (0, 0 ) → Q (3, 2 ) then

PQ = q - p = (3, 2 ) - (0, 0 ) = < 3 - 0, 2 - 0 > = < 3 , 2 >

| PQ | = [tex]\sqrt{3^2+2^2}[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

9514 1404 393

Answer:

  $409.86

Step-by-step explanation:

The markup multiplies the cost by 1+65% = 1.65. The tax multiplies the marked-up cost by 1+8% = 1.08. Then the final cost of the tent is ...

  ($230×1.65)×1.08) = $409.86 . . . total cost