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3 years ago

50 POINTS!!!!! Consider the picture below. Find the measure of ∠A

Mathematics

1 answer:

True [87]3 years ago

4 0

Answer:

103°

Step-by-step explanation:

∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.

Vertically opposite angles are angles that form when two lines intersect

From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning

∠CEA=∠DEB and ∠CED=∠AEB

Replacing ∠CED=∠AEB, we get

(14x+7)°=(12x+17)°

Solve for x

(14x-12x)=17-7

2x=10

x=10÷2=5

value for x in ∠CED=∠AEB, we get (14×5)+7=77°

To calculate ∠CEA and ∠DEB

Let ∠CEA=∠DEB=y

∠DEA=180°since its a straight line therefor

(14x+7)°+y=180°

77+y=180

y=∠CEA=∠DEB=103°

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Lf f(x) = 5x, what is f^-1(x)?

Nonamiya [84]

Answer: $f^{-1}(x)=\frac{x}{5}$

Step-by-step explanation:

By definition the domain of an inverse function $f^-1(x)$ is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).

If you have a function $f(x)=5x$ , then to find the inverse function, follow these steps:

1. Make $y=f(x)$

$f(x)=y=5x$

$y=5x$

2. Solve for the variable "x":

$x=\frac{y}{5}$

3. Exchange the variable "x" with the variable "y":

$y=\frac{x}{5}$

4. Exchange "y" with $f^{-1}(x)$ . Then the inverse function is:

$f^{-1}(x)=\frac{x}{5}$

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3 years ago

9. What is the system of equations that describes the following graph?

jeka94

The graph represented in the figure shows a set of linear equations each of which is represented a straight line.

Step-by-step explanation:

System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.

Linear set of equations are the most simple of equation depicting a linear relationship between two variables.

E.g. Y=4x+3

here y and x share a linear relationship which is defined by the straight-line graph "4x+3"

Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.

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3 years ago

HELP NEEDED AND GIVING EXTRA POINTS!!! 20 POINTS!

andreyandreev [35.5K]

Answer:

80 degrees

Step-by-step explanation:

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