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alisha [4.7K]
3 years ago
15

4. Find the value of x.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:

x = 50°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360°

360 - 40 - 80 - 110 = 130

130 is the measure of the quad that is adjacent to the angle of x° and is supplementary to that angle also.

Therefore, x = 180 - 130 = 50

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Let a be a rational number and b be an irrational number. Is a + b rational or irrational?
Svetlanka [38]

Answer:

irrational

Step-by-step explanation:

because an irrational number goes on forever so no matter what number is added to it it will always be irrational.

4 0
3 years ago
Read 2 more answers
For what value of the constant c is the function fcontinuous on (−[infinity], [infinity])?
Arlecino [84]

Answer:

For c=\frac{1}{7} the function f(x) is continuous on (-\infty,\infty).

Step-by-step explanation:

We have the following function

f(x) = \left\{        \begin{array}{ll}            cx^2+5x & \quad x

For the function f(x) to be continuous on (-\infty,\infty) it is sufficient to have continuity at x = 6, we need to ensure that as x approaches 6, the left and right limits match, this means that

\lim_{x \to 6^{-} } f(x)=\lim_{x \to 6^{+} } f(x)=f(x),

which holds if and only if

c\left(6\right)^2+5\left(6\right)=\left(6\right)^2-c\left(6\right)\\36c+30=36-6c\\42c=6

namely if c=\frac{1}{7}.

6 0
3 years ago
* If the hour hand of a clock is turned counterclockwise from 2 pm to 9 am, through how many degrees will it have turned?
nikdorinn [45]
It has turned about 150 degrees going from 2-9 counter clockwise on a clock.
5 0
4 years ago
Let f(x) = 2/x and g(x) = 2/x what is (g o f)(x)?
konstantin123 [22]

Answer:

(g o f)(x) = x

Step-by-step explanation:

Given the functions f(x) = 2/x and g(x) = 2/x

(g o f)(x) = g(f(x))

g(f(x)) = g(2/x)

Replace x with 2/x in g(x)

g(f(x)) = 2/(2/x)

g(f(x)) = 2 * x/2

g(f(x)) = 2x/2

g(f(x)) = x

Hence the composite function g o f)(x) is x

7 0
3 years ago
Solve each of these equations using algebraic operations.
musickatia [10]

Answer:

a. x=7

b. x=-4.25

c. x=1/3

d. x=7

e. x=1/3

f. x=-2

8. x=7

h. x=2.6

Step-by-step explanation:

6 0
4 years ago
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