1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alekssr [168]
3 years ago
8

FIND THE VALUE OF X​

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

By using the rule that the interior angles of any triangle equal 180 we see that:

m<ABC+m<CAB+m<ACB=180°

Therefore,

(2x+15)+(x+10)+(3x+5) = 180°

Now we have an equation and can solve for x:

Combine like terms:

(2x+15)+(x+10)+(3x+5) = 180°

6x+30=180°

6x+30-30=180-30

6x=150

x=25

To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:

2x+15

2(25)+15

65

x+10

25+10

35

3x+5

3(25)+5

75+5

80

65+35+80=180

x=25 is valid

Step-by-step explanation:

You might be interested in
PLEASE HELP!!<br>1y+14=-4y+9 for y. Round your answer to the nearest tenth.​
slega [8]

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

y = -1

y = -1 is your answer.

~

6 0
3 years ago
Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.
german
We have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
 <span>the volume increases  by a factor of 27</span>
6 0
3 years ago
In the rectangle
LekaFEV [45]
In order to form triangle PQT and quadrilateral TQRS, point T must lie on line PS which is 16 cm. long.

If the ratio of PT to TS is 5:3 and the total length of PS is 16, then PT must be 10 and TS must be 6 (10 + 6 =16) and 10:6 is the same ratio as 5:3. Another way to think about it is 5/3 = 10/6.

Now you have all the lengths that you need to find the areas of the quadrilateral and the triangle.

Make sure you draw a diagram of it!!
7 0
3 years ago
Read 2 more answers
Mini read a book at a constant rate. The graph of her progress is shown. Which statement is true?
Law Incorporation [45]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A simple random sample of size n=10 is obtained from a population that is normally distributed with a mean of 40 and a standard
Eva8 [605]

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx =  40

σ x = σ√n =  3/√10  = 0.9487

μ x =  4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

Learn more about sampling distribution here:- brainly.com/question/12892403

#SPJ4

3 0
1 year ago
Other questions:
  • How do you write an equation to represent a real-world situation?
    11·1 answer
  • Tori chang and kai chang sell cookies for Girl Scouts. Over the past 6 months they sold 110 boxes of cookies. Kai sold 4 times a
    5·2 answers
  • If each person drink 8 ounces of cranberry juice how much cranberry juice is needed
    11·1 answer
  • Marco has a collection of 437 bottles. Each month he buys 32 bottles .
    7·1 answer
  • Whats 12 over 5 to a mixed number
    7·1 answer
  • Suppose the average price for new cars in 2012 has a mean of $30,100 and a standard deviation of $5,600. Based on this informati
    5·1 answer
  • Look below at the image provided.
    8·1 answer
  • Help me pretty please
    7·2 answers
  • My brothers and sister, i need help asap
    13·1 answer
  • The equivalent matrices are <br> .
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!