ZA and ZB are complementary angles. If m A = (8x + 27)° and m
ZB = (6x – 21)°, then find the measure of ZB.

ZA And ZB Are Complementary Angles. If M A = (8x + 27) And MZB = (6x 21), Then Find The Measure Of ZB.

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Complementary angles add to 90 degrees

8x+27 + 6x-21 = 90

Combine like terms

14x+6 = 90

Subtract 6 from each side

14x+6-6 = 90-6

14x = 84

Divide by 14

14x/14 = 84/14

x=6

We want angle B

B = 6x-21 = 6*6-21 =36-21 = 15


Related Questions

Give two Examples of workers targeted for by minimum waged​

Answers

Answer:

Minimum wage refers the smallest wage an employee can make per hour for all hours he or she works on the job. ... For example, New York has a higher minimum wage than Maine, as the cost of living is higher in New York.

if my answer helps you than mark me as brainliest.

a shopkeeper marked price a article a certain price above the cost price and he allowed 16% discount to make 5% profit if a customer paid 9492 with 13% vat to buy it by what percent is the mp above cp​

Answers

Answer:

if I had known this

Step-by-step explanation:

then I won't be using this app right now..

find the length of leg x

x=
side a is 15
side b is 12
side x=​

Answers

Answer:

x=9

Step-by-step explanation:

a=hyp=15

b=base=12

x=perp=?

using pathagorus theorem:

[tex] {hyp}^{2} = {base}^{2} + {perp}^{ 2} \\ {15}^{2} = {12}^{2} + {x}^{2} \\ 225 = 144 + x \\ 225 - 144 = {x}^{2} \\ 81 = {x}^{2} \\ x = 9[/tex]

If the Miller's spend $1200 on housing each month, then what is their total monthly budget?

Answers

Answer:

2400$

Step-by-step explanation:

Miller's Family spends 50% of their budget on housing and we know that they spent 1200$ this month, so 1200$*2 = 2400$.

Have a nice day! :-)

khai triển hàm ln x theo các lũy thừa của x-1 và xác địnhkhoảnghội tụ của chuỗi lũy thừa vừa nhận đc áp dụng tìm tổng của chuỗi

Answers

Answer:

I want in English

Step-by-step explanation:

I don't know other languages than English

k = 2; f(x) = 2x3 + 3x2 - 4x + 4; Lower bound? (1 point)

Answers

f(x) = 2 x 3 +3 x 2 - 4x + 4
0 = 6 + 6 - 4x + 4
0 = 16 - 4x
4x = 16
x = 4
(sorry if that’s not what you’re looking for)

Solving Equations by Dividing 2) 9x= -135 Solve for x. 0 -144 O 126 O 15 0 -15

Answers

X = 15
Explanation:
9x = -135
Divide by 9 on both sides
X = -15
It is -15 since 135 is negative

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{9x = -135}}[/tex]

[tex]\huge\boxed{\text{DIVIDE 9 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{9x}{9}= \dfrac{-135}{9}}}[/tex]

[tex]\huge\boxed{\mathsf{\bullet \ CANCEL: \dfrac{9}{9}\ because\ it \ gives\ you\ 1}}[/tex]

[tex]\huge\boxed{\bullet\ \mathsf{KEEP: \dfrac{-135}{9}\ because\ it\ helps\ solve \ for}}\\\huge\boxed{\mathsf{the\ x-value}}[/tex]

[tex]\huge\boxed{\mathsf{x = \dfrac{-135}{9}}}\\\\\huge\boxed{\mathsf{\dfrac{-135}{9}= x}}}[/tex]

[tex]\huge\boxed{Simplify \ it\uparrow}[/tex]

[tex]\huge\boxed{\mathsf{x = \bf -15}}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: Option D. -15 }}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Help pls and thank you

Answers

A, C, and D are all correct answers, since you are taking away 4 in each of the answers. Hope this helped!

What is the distance between the following points?
y
>
2 3 4 5 6 7 8 9
-2-
.
-4
-5
-6
-7+
-8
-9

Answers

Point are

(2,-3)(8,-9)

Using distance formula

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(8-2)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]

[tex]\\ \sf\longmapsto \sqrt{72}[/tex]

[tex]\\ \sf\longmapsto 8.2units[/tex]

Given Points

⇛ 2 , -3 ( x = 2 and y = -3 )

⇛ 8 , -9 ( x= 8 and y = -9 )

Using Formula

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{ Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \:(y_2 \: - \: y_1)} }}}}}\end{gathered} [/tex]

Substuting the values

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: - \: (- 3) \bigg)^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ \bigg(8 \: - \: 2 \bigg) ^{2} \: + \: \bigg( - 9 \: + \: 3 \bigg)^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (6 ) ^{2} \: + \:( - 6 )^{2} } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{ (36 ) \: + \:( 36 ) } [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: \sqrt{72} [/tex]

[tex]\bf \longrightarrow \:Distance \: = \: 8.485281[/tex]

Approximate distance = 8.4

Hence , the distance between 2 points is

8.4 units

8/11 - Applying the Distributive Property
1. What is the simplest expression equivalent to 5(2x - 13) ?

Answers

10x-65
Distributive property just means multiply the 5 by each term inside the parentheses.

What is 3x+8x=13+31?

Answers

Answer:

x = 4

Step-by-step explanation:

3x+8x=13+31

Combine like terms

11x =44

Divide by 11

11x/11 = 44/11

x = 4

The answer you are looking for is x=4.

Solution:

3x+8x=13+31

Combining and adding similar terms,

11x=44

Dividing both sides by 11,

So, therefore,

The final answer is x=4.

Given f(x) = 4x - 3 and g(x) = 9x + 2, solve for (f + g)(x).

Answers

f(x)=4x-3g(x)=9x+2

[tex]\\ \sf\longmapsto (f+g)(x)[/tex]

[tex]\\ \sf\longmapsto f(x)+g(x)[/tex]

[tex]\\ \sf\longmapsto 4x-3+9x+2[/tex]

[tex]\\ \sf\longmapsto 4x+9x-3+2[/tex]

[tex]\\ \sf\longmapsto 13x-1[/tex]

Answer:

13x - 1

Step-by-step explanation:

f(x) + g(x) = 4x - 3 + 9x + 2

f(x) + g(x) = 4x+9x + 2 - 3

f(x) + g(x) = 13x - 1

You and your friends have tickets to attend a music concert. While standing in line, the promoter states he will give a gift card for a free album download to each person that is a multiple of 2. He will also give a backstage pass to each fourth person and floor seats to each fifth person. Which person will receive the free album download, backstage pass, and floor seats? Explain the process you used to determine your answer.​

Answers

9514 1404 393

Answer:

  20th

Step-by-step explanation:

The person will receive all gifts if the are all of a multiple of 2, a multiple of 4, and a multiple of 5. Since 4 is already a multiple of 2, the person who will receive all is the one who is a multiple of 4 and 5.

20 is 4×5, so is a multiple of both numbers. There is no smaller number that is a multiple of both 4 and 5.

The 20th person will receive all gifts.

_____

The value we have determined here is called the "least common multiple" (LCM). It is the product of the unique prime factors of the numbers of interest, raised to the highest power that appears in any of the numbers.

  2 = 2¹

  4 = 2²

  5 = 5¹

LCM(2, 4 5) = 2² × 5¹ = 20

The correct answer is the 20th person

What is the value of |-6|-|6| -(-6)

Answers

Answer:

6

Step-by-step explanation:

Solve the absolutes: |-6| becomes 6

and |6| doesn't change and still is 6

Substitute: 6-6-(-6)

- * - = +

6-6+6 = 6

find the surface area of the prism HURRY

Answers

Answer:

does the answer help you?



The area of triangle ABC is _____.

Answers

The formula for the area of a triangle is A = (base · height)/2, but when we look at this problem, there's no base or height!

Looking at the triangle on the right, we can use the Pythagorean Theorem to find the height:

h² + 16² = 20²

h² + 256 = 400

h² = 144

h = ± 12

In this case, the height is 12 because you can't have negatives when you are working with lengths of sides and other things like this in geometry.

So now we've found the height, but we still don't know the full base! So, we can use the height that we just found to use the Pythagorean Theorem for the left triangle!

B² + 12² = 15²

B² + 144 = 225

B² = 81

B = ±9

So once again, our answer is just 9.

But, because the base is CB, we have to add:

b = 9 + 16  

b = 25.

Now we have the base and height, so we can put them into our formula to solve for the area of the triangle:

A = (25 · 12) / 2

A = 300 / 2

A = 150

Determine the coordinates of the ordered pairs on the coordinate grid.

Answers

Answer:

A = (5,7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

Step-by-step explanation:

Answer:

A = (5, 7)

B = (0, -1)

C = (-8, -3)

D = (5, -8)

To do these problems, trace along in a straight line from the coordinate to the x- axis line and then to the y-axis line. Whatever number you reach will be part of the coordinate.

Hope this helped.

An asset's book value is $43,200 on January 1, Year 6. The asset is being depreciated $600 per month using the straight-line
method. Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record:

Answers

Assuming the asset is sold on July 1, Year 7 for $29,400, the company should record the asset's value as equal to $32,400.

The book value of the asset on January 1, Year 6 was $43,200.The asset is being depreciated at $600 per month using the straight-line method.The asset was sold on July 1, Year 7 for $29,400.The amount of time elapsed until the asset is sold is 18 months.The time elapsed can be considered as the "x-coordinate".The asset's value can be considered as the "y-coordinate".The rate of depreciation can be considered as the slope of the line.The equation formed from the given data is given below :(y-y1) = m(x-x1)y-43,200 = (-600)(18)y = 43,200-10,800y = 32,400

To learn more about equations, visit :

brainly.com/question/10413253

#SPJ1

Help me please and thx

Answers

Answer:

or,x*10=5*6

or, 10x=30

or,x=30/10

or,x=3

X/6 = 5/10 // - 5/10

X/6-(5/10) = 0

X/6-1/2 = 0

1/6*X-1/2 = 0 // + 1/2

1/6*X = 1/2 // : 1/6

X = 1/2/1/6

X = 3

X = 3

Here's a link to help with future problems and it helped me with this question

https://www.geteasysolution.com/

PLEASE HELP!!
find the value of r

Answers

The two sides and two top angles are identical so the two bottom halves are the same

18 -2r = 4R

Add 2r to both sides

18 = 6r

Divide both sides by 6

R = 3

The answer is A. 3

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  D. 72 heads in 100 flips

Step-by-step explanation:

A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...

  A: 0.0625

  B: 0.04395

  C: 0.15498

  D: 3.9×10^-6

__

It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.

find the area of the triangle

Answers

9514 1404 393

Answer:

  108 cm²

Step-by-step explanation:

The area of a triangle is given by the formula ...

  A = 1/2bh

where b represents the base length, and h represents the height--the perpendicular distance from the base to the opposite vertex. The area of this triangle is ...

  A = 1/2(12 cm)(18 cm) = 108 cm²

Find x and y plz help me show work​

Answers

Answer:

Sorry but the photo is not clear

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! Given this frequency chart of 1490 passengers from the Titanic who died, choose the class(es) whose relative frequency would comprise just under, 1/2 of a pie chart​

Answers

Answer:

b and e

Step-by-step explanation:

Second and Third which gives in total:

0.112 + 0.354 = 0.466

This is under 1/2 and greater than Crew.

A photography store develops 320 pictures on Monday, 564 on Tuesday, 281 on Wednesday, and 473
on Thursday. If the store typically averages at least 420 pictures daily, how many pictures would need to
be developed on Friday?

Answers

Answer:

462 pictures

Step-by-step explanation:

Average (mean) is calculated by adding up all the values and dividing by how many values there are, therefore to have an average 420 pictures daily, the sum of the 5 days must be: 5x420 = 2100

The current sum is: 320 + 564 + 281 + 473 = 1638

Therefore the number for Friday is 2100 - 1638 = 462 pictures.

Hope this helped!

Write the first 4 terms of the arithmetic sequence. The first term is - 1 and the
common difference is 3.

Answers

Answer:

-1, 2,5,8

Step-by-step explanation:

nth term =a+(n-1) *d

-1+(n-1) *3

-1+3n-3

3n-4

t2 =3*2-4

6-4

2

t3=3*3-4

9-4

5

t4=3*4-4

12-4

8

Four people share a taxi to the airport the fare was $36 and they gave the driver a tip equal to 25% of the fair. If they equally share the cost of the fair tip, how How much did each person pay?

Answers

Answer:

$11.25

Step-by-step explanation:

Total money given to the taxi driver=36+(25/100)*36=45

The cost borne by each person=45/4=11.25

3. What is the length of a rectangle with a width of 1.2 m and an area of 2.4 m2 m ?​

Answers

Step-by-step explanation:

area=length×width

2.4=x×1.2

1.2x=2.4

x=2.4÷1.2

x=2

therefore width = 2cm

The length of the rectangle is 2 meters.

We have,

Width of rectangle= 1.2m

Area of rectangle = 2.4 m²

To find the length of a rectangle when given its width and area, you can use the formula:

Length = Area / Width

So, the length rectangle

Length = 2.4 m² / 1.2 m

Length = 2 meters

Therefore, the length of the rectangle is 2 meters.

Learn more about Area of rectangle here:

https://brainly.com/question/8663941

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look at the image below vsc !!!!!!!!!

Answers

Answer:

Surface area = [tex]268.47ft^3[/tex]

Step-by-step explanation:

Formula to find the surface area of a triangle:

[tex]SA=\pi rl+\pi r^2[/tex]

(SA = surface area)

[tex]\pi =3.14\\r=radius\\l=length[/tex]

[tex]SA=(3.14)(5)(12.1)+(3.14)(5)^2[/tex]

[tex]SA=189.97+78.5[/tex]

[tex]SA=268.47ft^3[/tex]

hope this helps......

Given this equation for converting temperature from Celsius to Fahrenheit F equals 9/5C +32 what is F1C is 30

Answers

Answer: F = 86°

Step-by-step explanation:

Given information

Celsius = 30°

Given the formula for convertion

F = (9/5)C + 32

Substitute values into the formula

F = (9/5) · (30) + 32

Simplify by multiplication

F = 270/5 + 32

F = 54 + 32

Simplify by addition

[tex]\boxed{F=86}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

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