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WINSTONCH [101]
4 years ago
5

△STU is an equalateral triangle, if ST is one less than twice x, SU Is 37 less than 5 times x, and TU is 11 more than x, find x

and the measurement of each side ​
Mathematics
1 answer:
miskamm [114]4 years ago
4 0

Answer:

x = 12, sides = 23

Step-by-step explanation:

\overline{ST}=2x-1\\\overline{SU}=5x-37\\\overline{TU}=x+11

Since \triangle{STU} is equilateral, all three sides are equal. Therefore:

\left[\begin{array}{l}y=2x-1\\y=5x-37\\y=x+11\end{array}\right]

Substituting y = x + 11:

\left[\begin{array}{l}x+11=2x-1\\x+11=5x-37\end{array}\right]

Solving for x:

x+11=2x-1\\11=x-1\\12=x

Substituting x = 12:

y=x+11\\y=12+11\\y=23

Thus, <em>x</em> = 12 and the length of each side is 23.

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Pls list out the steps
Daniel [21]
First, the bigger square's area is 20*20= 400 cm^2

second, the circle's area is ¶r^2 = ¶(20/2)^2 = ¶(10)^2 = 100¶ cm^2

third, smaller square-- if we imagine it as 4 parts as 4 right triangles-- 1 part will be 1/2*(20/2)(20/2) = 1/2 (10)(10) = 50 cm^2 then the area of the smaller square is 4*50 = 200 cm^2

so the shaded parts = circle - smaller square =100¶ - 200 cm^2

the answer is 2

5 0
3 years ago
What is the image of (9,-5) after a dilation with the scale factor of 2.5?​
ycow [4]
(9,-5) times 2.5 is (22.5,-12.5)

The answer is (22.5,-12.5)

Hope this helps!
4 0
3 years ago
20 points for one question. You know you want to.
spayn [35]

Answer:

The answer is A.

Step-by-step explanation:

We only have to test one coordinate to find the answer. The original coordinate for N is (-1, -1). Using the formula, N' is (0, -2).

8 0
4 years ago
Read 2 more answers
Hi if u could help me that would be great, have a nice day!!!
LenaWriter [7]

Hey there! I'm happy to help!

-------------------------------------------------------------------

<u>OVERVIEW</u>

Random sampling is when you take a sample of something completely at random. This is done to avoid bias and other stuff like that. It makes the data a lot more pure, real, and factual.

-------------------------------------------------------------------

<u>CHOOSING THE ANSWER</u>

OPTION A: A SCHOOL NEWSPAPER ASKS TEACHERS IN THAT MIDDLE SCHOOL HOW THEY FEEL ABOUT THE BEHAVIOR OF TWELVE YEAR OLD BOYS.

Does this seem very random to you? They're asking all the teachers who work at a certain junior high to talk about twelve year old boys. But, the teachers are definitely going to have some sort of bias towards twelve year old boys because they work with them, and since all of the samples are teachers, this is going to have biased data. Therefore, answer A is incorrect.

OPTION B: A NATIONAL SURVEY COMPANY PICKS ONE PHONE NUMBER FROM EACH AREA CODE IN AMERICA TO CALL AND ASK FOR AN OPINION ON CURRENT POLITICAL ISSUES.

This definitely seems a lot more random. There is only one phone number from each area code and there are many area codes in the United States so you get a bit of what everyone thinks about an issue. There is no bias because there is one random phone number and there are many different places this is done. Therefore, option B is correct.

OPTION C: MIGRANT WORKERS ARE SURVEYED ON THEIR OPINION OF MANDATORY HEALTH INSURANCE FOR COMPANIES.

This is not very random because they are asking a specific group of workers about a company and business ordeal. It is not very random because the migrant workers are specifically being asked, not random people. Therefore, option C is incorrect.

-------------------------------------------------------------------

<u>THE SOLUTION</u>

Therefore, Option B is the correct answer.

I hope that this helps! Have a wonderful day!

7 0
3 years ago
WILL MAKE BRAINLYEST
Valentin [98]

Answer:

none

Step-by-step explanation:

3−12+223−56=158

216−216=0

56+216=272

216+216=432

216−56=160

Brainliest?

8 0
3 years ago
Read 2 more answers
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