ZA and ZB are supplementary angles. If mZA = (x + 6) and m
ZB = (7x +30)°, then find the measure of ZA.

Answers

Answer 1

Answer:

za=24

Step-by-step explanation:

supplementary angles add up to equal 180

180=7x+x+30+6

step 1 combine like terms

180=8x+36

step 2 subtract 36 from each side

144=8x

step 3 divide each side by 8

x=18

now we just plug in 18 to x in x+6

18+6=24

Answer 2

Answer:

24°

Step-by-step explanation:

The sum of supplementary angles is 180°.

Thus, we can set up our equation as:

(x + 6) + (7x + 30) = 180

Combine like terms.

8x + 36 = 180

Isolate the variable by subtracting 36 from both sides.

8x = 144

Divide both sides by 8.

x = 18

Now, let's revisit the equation for m∠ZA, and plug in our x.

((18) + 6)°

24°


Related Questions

I need help on these questions.

Answers

Answer:

1. the third one

2. the third one

3. the fourth one

5. the second one

Step-by-step explanation:

Answer:

1)7x+1

2)10a-(a-5)

3)Twice the sum of two different numbers

4)2x/x-1

Hope I helped!!!

Find the greatest common factor of 21 and 10.

Answers

Answer:

GCF of 10 and 21 is 1.2.

Step-by-step explanation:

I hope it's helpful!

1
because they can’t be divided by the same number

I don’t know how to type it out so here’s the picture.

Answers

it’s the third one

i plugged two in for x to double check and it’s right

Examine the linear graph to find the slope , y-intercept, and write the equation for this linear relationship ​

Answers

Answer:

The slope of the line is: [tex]m=-\frac{1}{2}[/tex]

The y-intercept b = 3

The slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{3}x+3[/tex]

Step-by-step explanation:

Taking two points from the given graph

(0, 3) and (6, 0)

Determining the slope m

The slope between (0, 3) and (6, 0) using the formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

(x₁, y₁) = (0, 3) (x₂, y₂) = (6, 0)

now substitute (x₁, y₁) = (0, 3) and (x₂, y₂) = (6, 0) in the slope formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{0-3}{6-0}[/tex]

[tex]m=-\frac{3}{6}[/tex]

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

Thus, the slope of the line is: [tex]m=-\frac{1}{2}[/tex]

Determining the y-intercept (b)

The slope-intercept form of the line equation is given by

[tex]y = mx+b[/tex]

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

From the graph, we can figure out the y-intercept by checking the value of y at x = 0.

If we closely check the graph, at x = 0, the value of y = 3

Therefore, the y-intercept b = 3

Slope-intercept Equation

We already know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

substituting b = 3 and m = -1/2

[tex]y\:=\:-\frac{1}{2}x+3[/tex]

Therefore, the slope-intercept equation of the line is:  [tex]y\:=\:-\frac{1}{2}x+3[/tex]

The graph is also attached below.

Mr. P mowed 2/7 of his lawn. His son mowed 1/4 of it who mowed the most how much of the lawn still need to be mowed. Solve using the RDW strategy

plzzz help meh I WILL MARK 50 points!!!!!!

Answers

Answer:

Step-by-step explanation:

1/3

Who are the Dalits? Brainliest

Answers

Answer:

Dalit is a name for people belonging to the lowest caste in India, characterised as "untouchable".Dalits were excluded from the four-fold varna system of Hinduism and were seen as forming a fifth varna, also known by the name of Panchama. Dalits now profess various religious beliefs, including Hinduism, Buddhism, Sikhism, Christianity, Islam and various other belief systems.

Step-by-step explanation:

Answer:

Dalits are the lowest caste in the Hindu religion. They are also referred to as the Untouchables. Dalits were the lowest of the low in society and often got discriminated by higher castes.

-> Find the sum.
2
4 3
+1
12
12

Answers

Answer:

11455

Step-by-step explanation:

you add it up and that is what you will get

(-2+4i) - (8+2i) if i is imaginary

Answers

Answer:

-10 + 2i

Yes, it is imaginary

Step-by-step explanation:

[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]

Help I do not understand this

Answers

Answer:

sin(30)° = [tex]\frac{10}{x}[/tex]

Step-by-step explanation:

By applying sine rule in the given triangle,

sin(30)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(30)° = [tex]\frac{10}{x}[/tex]

[tex]\frac{1}{2}= \frac{10}{x}[/tex]

x = 2 × 10

x = 20

Therefore, answer will be sin(30)° = [tex]\frac{10}{x}[/tex].

Alexandra's drafting class is building a scale model of the school's courtyard. Alexandra chose to make a model of a campus oak tree for the assignment as shown. The tree is 10 yards tall and the base of the tree is 5 yards away from the edge of a park bench. She calculated that her oak tree model should be 0.4 yards tall. What is the distance, in yards, from the base of the model tree to the edge of the model bench?

Answers

Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

Similar triangle :

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     [tex]\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard[/tex]                

Learn more about the similar triangles here:

https://brainly.com/question/14285697

3) Given P = 5y , find the positive values of x and y that will give P its maximum value if ^2 + 5 = 7.

Answers

Answer:

were the hell is x

Step-by-step explanation:

where is x in it holy........

A large tank holds 1.9 x 10' gallons of oil. How much oil can be stored in 6 tanks?
Write your answer in scientific notation.

Answers

11.4 x10' gallons of oil
basically (1.9 x 6) x10'

Orignal Price = $36.90
% Markup = $34%
Whats my answer? ASAP!

Answers

Answer:

49.446

Step-by-step explanation:

Answer:

$49.45

Step-by-step explanation:

The original price is $36.90

It Markup (Meaning you add) to 34%

So you multiply 36.90 and 0.34

Which is 12.546

Since this is about money round 12.546 to 12.55

Then add 12.55 and 36.90

Which is 49.45

Answer: $49.45

What is another name for the height of a prism or a pyramid?
A. Altitude
B. Length
C. Base
D. Lateral face

Answers

Answer:

A . altitude

Step-by-step explanation:

help? please
if someone could help id appreciate it

Answers

answer: 30°

explanation:

4x + 2x = 180°

6x = 180°

x = 180/6

x = 30°

hope this helps :)

Simplify 7.7w - 4.6w please answer hurry!

Answers

Answer:

3.1w

Step-by-step explanation:

Stuff mart sells ice cream toppings in two different packages. Package one has eight blueberry toppings for $22. Package two has four blueberry and seven strawberry toppings for $22. Find the cost of each topping

Answers

Answer:

the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

Step-by-step explanation:

The computation is shown below:

Let us assume the blueberry topping be x

And, the strawberry topping be y

Now as per the question

8x = $22

Divide by 2 to the both sides

4x = $11

x = $11 ÷ 4

= $2.75

And,

4x + 7y = $22

Now put the x value in the above equation

4 × (11 ÷ 4) + 7y = $22

11 + 7y = $22

7y = $22 - $11

7y = $11

y = $11 ÷ 7

= $1.57

Hence, the cost of the blueberry packing be $2.75 and the cost of the strawberry topping be $1.57

will give brainliest to first correct answer. find missing length

Answers

Answer: a

Step-by-step explanation:

Because i said so

True or False
A histogram with a uniform shape represents data that is unevenly distributed through the intervals.

A. true
B. false

Answers

Answer:

false id k

Step-by-step explanation:

A 1/2 kilogram of flour is packed equally into 10 bags How much flour is in each bag?​

Answers

Answer:

1/20 kilogram of flour is in each bag.

Step-by-step explanation:

(1/2)/10=(1/2)(1/10)=1/20

what does this equal 12*5*6*100*67*82*200*419*638*35*134

Answers

Answer:

4.959395e+19

Step-by-step explanation:

12*5*6*100*67*82*200*419*638*35*134 = 4.959394955x10^19

you can always use a calculator for these large calculations

Find the value of x that makes the quadrilateral a parallelogram
What is x?​

Answers

To make it a parallelogram, the diagonals have to bisect each other (6x=3x+2)

Calculate and you will get x = 2/3

The value of x that makes the quadrilateral a parallelogram is 2/3.

What is a parallelogram?

A special form of quadrilateral called a parallelogram has both pairs of its opposite sides parallel and equal.

We have a quadrilateral.

To show that the quadrilateral is a parallelogram:

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

That means,

6x = 3x + 2

3x = 2

x = 2/3

Therefore, the value of x is 2/3.

To learn more about the parallelogram;

https://brainly.com/question/29133107

#SPJ5

If written backward, the number "fourteen thousand five hundred and ninety-three" would be written as "thirty-nine thousand five hundred forty-one". Correct?

Answers

Answer:

Yes, correct

Step-by-step explanation:

Answer:

14,593 -> 39,541: Correct!

Step-by-step explanation:

PLEASE HELP!!!!

We need to know total number of miles and
we need to know the distance (in miles) between san diego to albuquerque, albuquerque to omaha, omaha to chicago (it’s labeled springfield on the map below but it’s chicago), then chicago (which is again labeled as springfield on the map below) to nashville

The scale is 1 cm to 204

THE INFORMATION, MAP, INSTRUCTIONS, SCALE, AND QUESTIONS ARE BELOW!

Answers

Answer:

total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile

9514 1404 393

Answer:

765 mi867 mi459 mi408 mitotal: 2499 mi

Step-by-step explanation:

The estimated mileage is found by multiplying the map scale by the map distance:

#1: (204 mi/cm)(3.75 cm) = 765 mi

The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.

(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)

__

Of course, the total distance is the sum of the distances of the legs of the trip:

  765 +867 +459 +408 = 2499 . . . . miles total distance

Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of the unknown side of the frame?

Answers

Answer:

i got 7ft for the answer

Step-by-step explanation:

The length of the unknown side of the triangular frame is 7 ft.

What is a triangle?

"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."

From the drawn triangle

According to the law of cosines

[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]

⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]

⇒ [tex]x^{2} = 9+25+15[/tex]

⇒ [tex]x^{2} = 49[/tex]

⇒ [tex]x = \sqrt{49}[/tex]

⇒ [tex]x = 7[/tex]

Hence, the length of the unknown side of the triangular frame is 7 ft.

Learn more about triangle here

brainly.com/question/9528438

#SPJ2

Which segment is a reflection of segment AB over the line x = 1?
Line segment C D
Line segment E F
Line segment G H
Line segment I J

Answers

Answer:

EF

Step-by-step explanation:

this line is a mirror version of AB when you reflect it across x=1

Hope this is helpful! :))

Answer:

EF

Step-by-step explanation:

Edge2021

12. Find the values of x, y, and z.
(1 point)

Answers

Answer:

b. x = 80, y = 100, z = 63

Step-by-step explanation:

Math homewoek geometry please download the paper solve it on your device and send the solved version of the sheet here


Please help 40 points

Answers

hope this helps :)
plz mark brainliest

Answer:

for brainliest :)))

Step-by-step explanation:

thank you

--
What is the value of
5/6 divided by 3/4

Answers

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

5/6 x 4/3

= 20/18

20 divided by 2, 18 divided by 2

= 10/9 = 1 1/9

A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously

i only need a, c, e, f

Answers

9514 1404 393

Answer:

  a)  $215,892.50

  c)  $220,803.97

  e)  $222,534.58

  f)  $222.554.09

Step-by-step explanation:

The compound interest formula is ...

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

  FV = Pe^(rt)

  FV = 100,000e^(0.08·10) = 222,554.09

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