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Verdich [7]
3 years ago
5

Geometry/Math question that I'm having issues with, see the attached image.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

x=30

Step-by-step explanation:

Vertical angles formed by intersecting lines are always equal so the an equation can be formed:

4x+30=5x to solve start by subtracting 4x on both sides

30=x

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What is the area of a rectangular driveway measuring 20 feet long and 15 feet wide?<br>​
alukav5142 [94]

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5 0
3 years ago
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

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f(f(-7))=f(-12)

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Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
Write the equation of the line given an x -intercept of 10 and y -intercept of 5.
Sergeu [11.5K]

Answer:

y = (-1/2)x + 5

Step-by-step explanation:

As we move from the y-intercept (0, 5) to the x-intercept (10,0), x increases by 10 units while y decreases by 5 units.  Thus, the slope of this line is

m = rise / run = -5 / 10 = -1/2.

Since we know both the slope and the y-intercept of this line, let's use the slope-intercept form of the equation of a straight line:  y = mx + b.

Substituting -1/2 for m and 5 for b, we get:

y = (-1/2)x + 5

8 0
3 years ago
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