The value of 
is 
Explanation:
Given that 
and 
<u>The value of </u><u>:</u>
The value of can be determined by substituting x = 5 in the functions f(x) and g(x) and then dividing the terms, we get, the value of
Thus, we have,
Substituting the value of x = 5 in the functions f(x) and g(x), we get,
Simplifying the terms, we have,
Adding the terms in numerator, we have,
Thus, the value of is
ALGEBRA determine the angle measure in the polygon.a. 30°, 150°, 30°, 150°b. 30°,30°,30°,30°c. 45°,225°,45°,255°D. 15°,75°,15°,7
Veseljchak [2.6K]
We know that consecutive angles in a parallelogram are supplementary, as they are consecutive interior angles between parallel lines.
Then, if we add the measure of x° and the measure of 5x° we get 180°. Then, we can write this expression and solve for x:
Then, the angle x has a measure of 30° and the angle 5x has a measure of 5*30=150°.
Answer: a. 30°, 150°, 30°, 150°
Answer:
3/16
Step-by-step explanation:
5 blue, 6 red, 3 black, and 2 yellow
total number of marbles = 5 + 6 + 3 + 2 = 16
p(black) = (number of black marbles)/(total number of marbles)
p(black) = 3/16
Answer: 3/16
It would be -4
4(2) + 5(-4) = -12
-2(2) + 3(-4) = -16
Answer: Choice B) Integers include whole numbers and natural numbers.
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Explanation:
Let's go through the four answer choices to see which are true or false.
- A) False. A rational number like 2/3 is not a natural number (1,2,3,4,...). This is one counterexample out of infinitely many.
- B) True. The set of integers is {..., -3, -2, -1, 0, 1, 2, 3, ...} basically positive and negative values that don't have fractional or decimal components. Zero is included.
- C) False. Similar reasoning as choice A above.
- D) False. A natural number like 7 can be written as 7/1, which means it is a rational number. Any rational number is of the form a/b with a,b being integers and b is nonzero.
