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olga55 [171]
3 years ago
12

Use the figure below to complete the following problem

Mathematics
1 answer:
yarga [219]3 years ago
6 0

Answer:

60

Step-by-step explanation:

<H + <T = 180

2x+ 60 + x + 30 = 180

3x + 90 = 180

3x = 90

 x = 30

<T = x + 30 = 30 + 30 = 60

Answer

<T = 60

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What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?
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You forgot to include the given line.

We need the given line to find the slope. The slope of parallel lines are equal. So, the slope of the line of the equation you are looking for is the same slope of the given line.

I can explain you the procedure to help you to find the desired equation:

1) Slope

Remember that the slope-intercept equation form is y = mx + b where m is the slope and b is thye y-intercept.

If you clear y in every equation you get:

a) y = (3/4)x + 17/4 => slope = 3/4

b) y = (3/4)x + 20/4 = (3/4)x + 5 => slope = 3/4

c) y = -(4/3)x - 2/3 => slope = -4/3

d) y = (-4/3)x - 6/3 = (-4/3)x - 2 => slope = -4/3

So, you just have to compare the slope of the given line with the above slopes to see which equations are candidates.

2) Point (-3,2)

You  must verify which equations pass through the point (-3,2).

a) 3x - 4y = - 17

3(-3) - 4(2) =  -17
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b) 3x - 4y = - 20

- 17 ≠ - 20 => it is not candidate

c) 4x + 3y = - 2

4(-3) + 3(2) = - 2
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d) 4x + 3y = - 6

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3) So, the point (-3,2) permits to select two candidates

3x - 4y = - 17, and 4x + 3y = -6.

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sammy [17]

The value of function on x=1 is 0.5

Step-by-step explanation:

In order to find the value of a function on given input, the input is put at the place of variable in the function.

Given function is:

f(x) = (\frac{1}{2})^x

We have to find the value of function on x = 1

Putting x = 1 in function

f(1) = (\frac{1}{2})^1\\= \frac{1}{2}\\= 0.5

Hence,

The value of function on x=1 is 0.5

Keywords: Functions variables

Learn more about functions at:

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Thus, the total area of the figure can be represented by 12a, (6a+b), and 2b cm².

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