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docker41 [41]
3 years ago
6

Find the value of X. Please help!!

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

x = 91

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary, that is

∠ A + ∠ C = 180, thus

x + 89 = 180 ( subtract 89 from both sides )

x = 91

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If the function f (x) has a domain of (a,b] and a range of [c,d), then what is the domain and range of g (x) = m × f (x) + n?
xz_007 [3.2K]
<h3>Answer: Choice A</h3>

Domain = (a,b]

Range = [mc + n,md + n)

==============================================

Explanation:

The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).

Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.

-------------------

The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...

g(x) = m*f(x) + n

g(x) = m*c + n

All we're doing is replacing f with c.

So that means mc+n is the starting point of the range for g(x).

The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.

6 0
2 years ago
A box contains four equal-sized cards labeled 1 , 3, 5, and 7. Tim will select one card from the box. What is the probability th
JulsSmile [24]

Answer: 1/4

Step-by-step explanation:

Since the box box contains four equal-sized cards labeled 1 , 3, 5, and 7. The probability of selecting any number out of the four numbers will be 1/4 if they are selected once.

If Tim selects one card from the box, the probability that Tim will select a card labeled 3 will be: = 1/4

This is because 3 only occurs once and there are 4 numbers in total.

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2 years ago
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Step-by-step explanation:

3 0
2 years ago
research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impur
Gennadij [26K]
Given that the probability <span>is modeled by the function
y=3(257,959)^x[tex]  where x is the impurity &#10;concentration and y, given as a percent, is the probability of the fuse &#10;malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95

Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
7 0
3 years ago
A circle has a circumference of 153.86 units. What is the radius of the circle?
Leni [432]

Radius = 24.49

Hope this helps! (If not sorry!)

8 0
3 years ago
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