m∠1=(3x+21)° and m∠3=(4x+9)° what is the value of x

Answers

Answer 1

Value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

What are vertical opposite angles?

" Vertical opposite angles are defined as when two straight line intersect each other , the two non adjacent angles are vertical opposite angles. Measure of vertical opposite angles are always equal."

According to the question,

Given measure of angles,

[tex]m \angle1 = (3x + 21)\°[/tex]

[tex]m \angle3= (4x + 9)\°[/tex]

Consider both the angles as vertically opposite angles we get,

[tex]m \angle1 =m \angle3 \\\implies(3x + 21)\° = (4x + 9)\°\\\\\implies 4x -3x = (21 - 9))\°\\\\\implies x = 12\°[/tex]

Hence, value of [tex]x[/tex] as per considering given pair as vertical  opposite angles is equals to [tex]12[/tex] degrees.

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Related Questions

Help!!!
A) Mode
B) Mean
C) Median

Answers

Answer:

Median

Step-by-step explanation:

Median will be misleading  are not asking for the midd;e price they are asking for the average price in this case you will use mean to find

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 2/5. If they have three children, what is the probability that exactly three of their three children will have that trait? Round your answer to the nearest thousandth.

Answers

Answer:

any details?

Step-by-step explanation:

Which of the following is NOT a recommended way of writing ratios?

O Two to one
O 2-1
O 2:1
O 2/1​

Answers

Answer:

Do not write ratios like so

2-1

Step-by-step explanation:

Answer:

I think it's 2:1 because of what I remember.

a varies inversely with b. if a=9 when b=2, then find when b=6

Answers

Answer:

a[tex] \alpha [/tex]

1/b

a=k/b

k=a×b

where a=9

b=2

k=?

k=9×2

k=18

where a=?

b=6

k=18

a=k/b

a=18/6

a=3

Find the mode of the data.
1, 2, 1, 3, 3, 4, 1
The mode is

Answers

Answer:

1 is the answer.

Step-by-step explanation:

The mode of a data set is the number that occurs most frequently in the set.

Determine whether the following study is an observational study or an experiment. If the study is an experiment, identify the control and treatment groups, and discuss whether single- or double-blinding is necessary. If the study is observational, state whether it is a case-control study, and if so, identify the cases and controls.
In a study of the effects of magnets on back pain, some participants were treated with magnets while others were given nonmagnetic objects with a similar appearance. The magnets did not appear to be effective in treating back pain. Choose the correct answer below.
A. Experiment, the treatment group is patients that used the magnets and the control group is patients that received the placebo; double blind
B. Observational study; case control; the cases are the patients that received magnets, the controls are the patients that received placebos
C. Observational study; not case-control
D. Experiment, the treatment group is all patients and the control group is patients that received the magnets; single blind

Answers

Answer:

A. whether a woman took hormones.

B. whether to woman in the study had a heart attack.

D. access to health care

Step-by-step explanation:

The study conducted to observe the menopausal woman must be supported with their health history. Some woman may have menopause at an early age while other go towards this at a later age. This can be due to smoking, hormone intake, severe diseases like heart attack or cancer and their routine health checkup details. There variables must be observed and included in experiment to reach a conclusion.

What is the answer of 1/4x+1<5?

Answers

The answer is X< 16 I hope it Helps

A. 12/29
B. 3/5
C. 2/3
D. 20/29​

Answers

Answer:

Where is the question? The Answer is 20/29

Step-by-step explanation:

Brainiest

Find the area of each shape. Include units in your answer. Show your work. Section 1 worth 5 points. Section 2 worth 15 points.

Answers

Answer:

Step-by-step explanation: can you add a picture of the problem?

Which are elements and geographical skills in which can be applied in one's life as practical or professional?

Answers

Answer:

using a map is a geographical skill in everyday life.

Step-by-step explanation:

what is 120 ratio 5:7​

Answers

Answer:

50

Step-by-step explanation:

This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?

Answers

Answer: 88 cm^3

Step-by-step explanation:

= 1/2 • bh

= 1/2 • 6 • 8

= 24

= 1/3 • 24 • 11

= 88 cm^3

The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.

What is volume?

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,

Calculate the volume as shown below,

The Volume of the pyramid = 1 / 3 × Area of the triangle × height

The volume of the pyramid =  1 / 3 × 1 / 2 × 6 × 8 × 11

The volume of the pyramid = 528 / 6

The volume of the pyramid = 88

Thus, the volume of the pyramid is 88 cm³.

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Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

The first one, it is mirroring it and if you were to fold it in half it would be the same

WILL




GIVE


BRAINLIST ANSWER

.

..
.
.
.

Answers

the answer 1/6 because a die has 6 sides and you are only wanting 1 number so the chances are 1/6

I need help on this!!

Study guide for exam

The circle have the same question.

No links

Answers

Answer: Picture pls

Step-by-step explanation:

.

Answer:
What’s the question

Explanation:

PLEASE HELP ME ASP !!

Answers

Answer:

B

Step-by-step explanation:

if its a straight line, then just subtract from 180

180 - 84 = 96

EAT MY SANDWICH ANX YH

Solve this 6 - 4(3 - 6x) + 12x

Answers

Answer:

Step-by-step explanation:

Edgar has a bag of 10 marbles (3 green, 5 blue, and 2 red). If he picks one marble out of the bag at random, what’s the probability that he will get a blue marble? Explain how you determined that probability.

Answers

There are 5 blue marbles and 10 total marbles.

The probability of picking blue is the number of blue marbles/ total marbles.

Probability = 5/10 which reduces to 1/2

The answer is 1/2

What is the correct answer?? I will mark as brainlest

Answers

Answer: t=0.15n

Step-by-step explanation:

Write an equation in slope-intercept form for the following line:

(-14,1) and (13,-2)

Answers

Answer:

y=1/9x-5/9

Step-by-step explanation:

just use slope intercept to find the slope then point slope form to find the line

Find the volume of this.
Show work.

Answers

Answer: 471.24 (with 3.14 as pi)

Step-by-step explanation:

Volume of cylinder = pi*r^2*height

Radius = 10/2 = 5

Pi*25^2*6 = 471.24

Alex had 23 coins in his collection. He found 5 coins and gave Bill 8 coins. How many coins does Alex have now?

Answers

alex has 20 coins now

Answer:

alex has 20 coins since 23 + 5 - 8 = 20

step-by-step explanation:

Anyone can solve this for me thx

Answers

Answer:

16

Step-by-step explanation:

Dana is playing a game where she loses 75 points every time she rolls an even number. She starts with 0 points. Then she rolls an even number on her first five rolls of the game. What number represents the amount of points Dana has after her first 5 rolls.

Answers

Answer:

-375

Step-by-step explanation:

-75 * 5

= -375.

Find the area of the following figure and write your result in the empty box.

Answers

Answer:

Area = 406

Step-by-step explanation:

First things first: Divide the shape

Here is how I did it:

21 x 16

14 x 5

Now solve:

21 x 16 = 336

14 x 5 = 70

Now add:

336 + 70 = 406

So the area is 406

(5) 60% of a number is 36. Use this fact to find:
a) 30% of the number
b) 20% of the number.
c) 50% of the number​

Answers

Answer:

The number is 60

a) 18

b)12

c) 30

Step-by-step explanation:

Plz help me well mark brainliest if correct!!......

Answers

Answer:

Option C

Step-by-step explanation:

have a great Day

The answer is going to be C!

A teacher is four times as old as a student. In 28 years, the student's age will be half of the teacher's age. How old are they now?
The age of the teacher is
years.
The age of the student is
years

Answers

Here, let the age of student be x and teacher be 4x after 28 years, the teacher is double the age of student. So the age of teacher will be 4x+28 and student will be 2(x+28)
So,
4x+28=2(x+28)
4x+28=2x+56
4x-2x=56-28
2x=28
x=14
Therefore the age of the teacher in present will be
=4x+28
=4*14+28
=84
And age of student will be:
=x+28
=14+28
=42
Hope this helps


What type of data distribution is shown on the
graph? V symmetric
Coin Toss
0.6
0.4
Probability P(X)
0.2
0
0
1
2
Number of Heads: X
COMPLETE
The mean is

Answers

Answer: B, C, C

Step-by-step explanation:

The type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.

What is data distribution?

The data distribution is a way to represent the values of a set of data or information. The distribution of data is generally represented in a particular order.

In the given graph, the data distribution is shown for the coin toss. The probability P(X) is shown on the y-axis of the graph, and the number of heads is shown on the x-axis.

There are two types of data distribution shown on the graph.

Symmetric - The data distribution shown on the graph is symmetric over x = 1.

Discrete - The data distribution shown on the graph is discrete because the values of X are distinct.

Hence, the type of data distribution which is shown on the graph of coin toss where, x is the number of heads is symmetric and discrete.

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The complete question is attached

please help me answer these 2 questions, worth lots of points

Answers

For the first one, to find x, you are going to take that entire side which would equal to 180 and solve. 2x+20+55=180 would then go down to 2x+65=180 once you add the 20 and 55. Then subtract 65 to both sides and divide your final answer 115/2 which is x=57.5. For the second one it’s 4x-2+21=180, then you will subtract 2 from 21 and get 19. After you would subtract 19 by 180 and divide 4 by each side, getting x=40.25 as your final answer.
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