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lesantik [10]
3 years ago
8

In ASTU, MZS = (2x + 10)°, mZT = (3x – 9)°, and mZU = (6x-19) Find mZT.

Mathematics
1 answer:
Sonja [21]3 years ago
7 0

9514 1404 393

Answer:

  m∠T = 45°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so ...

  (2x +10)° +(3x -9)° +(6x -19)° = 180°

  11x -18 = 180 . . . . . collect terms, divide by °

  11x = 198 . . . . . . . . add 18

  x = 18 . . . . . . . . . . . divide by 11

Then the angle of interest is ...

  m∠T = (3x -9)° = (3·18 -9)°

  m∠T = 45°

_____

The other angles are ...

  m∠S = 46°

  m∠U = 89°

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Y is inversely proportional to x, when Y = 2, x = 4.<br><br>Find the value of x when Y = 4.
ratelena [41]

The value of x when y =4 is 2

<h3>How to solve for x?</h3>

An inverse proportion is represented as:

k = yx

Where

k represents the constant of proportion

When y = 2, x = 4.

So, we have:

k =2 * 4

k = 8

Substitute k = 8 in k = yx

So, we have:

yx = 8

When y = 4, we have:

4x = 8

Divide by 4

x = 2

Hence, the value of x when y =4 is 2

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8 0
2 years ago
What is the effect in the time required to solve a problem when you double the size of the input from n to 2n, assuming the numb
kobusy [5.1K]

Answer:

Go to this site

https://www.slader.com/discussion/question/what-is-the-effect-in-the-time-required-to-solve-a-problem-when-you-double-the-size-of-the-input-fro/

there should the your answer

Step-by-step explanation:

3 0
3 years ago
= 4. The sum of Ben's and David's ages is 62 yrs now. Five years from now David will be twice as old as Ben. How old is Ben now?
ki77a [65]

The age of ben and david is 24 and 38 years.

According to the statement

we have to find the age of the Ben now.

So,For this purpose, we know that the

One application of linear equations is what are termed age word problems. When solving age problems, generally the age of two different people (or objects) both now and in the future (or past) are compared.

From the given information:

The sum of Ben's and David's ages is 62 yrs now

And

Five years from now David will be twice as old as Ben.

Let the ben age is x

and the david age is y.

So, from given information:

x+y = 62  -(1)

5 years from now,

y = 2x  -(2)

put (2) in the (1) then

x+y = 62 -5

x+2x = 57

3x = 57

x = 19.

And the age of davud become

y = 2(19)

y = 38 years

So, five years from now the age of ben is 19 and david is 38 years.

And now the age of the ben and age of david is

Age of ben now = 19+5

Age of ben now = 24.

Age of david now  = 62 -24

Age of david = 38.

So, The age of ben and david is 24 and 38 years.

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5 0
2 years ago
Ayuda.........................................................................................
cestrela7 [59]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Line s passes through points (7, 10) and (2, 14). Line t is parallel to line s. What is the slope of line t?
notsponge [240]

Answer:

The slope of line t is -4/5.

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4 0
3 years ago
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