The measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
<h3>Bisection of angles</h3>
Angles are bisected if they are divided into two equal parts.
If the angle BC bisects <ABC, hence <ABD and <DBC are equal, hence;
2(11x + 23) = <ABC
Given the following parameters
<ABC = 25x + 34
2(11x + 23) = 25x + 34
Expand
22x +46 = 25x + 34
22x-25x = 34 - 46
-3x = -12
x = 4
Determine the measure of the angles
<ABD = 11x + 23 = <DBC
<ABD = 11(4) + 23
<ABD = 44 + 23
<ABD = 67 degrees
<ABC = 2(67)
<ABC = 134 degrees
Hence the measure of <ABD, <DBC and <ABC are 67, 67 and 134 degrees respectively.
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Answer:
21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>
If there is a 0% chance that something will happen then it is impossible.
22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>
If there is a 50% chance that something will happen, it is equally likely that it will happen.
23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>
If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.
24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>
A low chance of 20% means that something is unlikely to occur.
Answer:the first option
Step-by-step explanation:
The domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = -4.92x² + 17.96x + 575
The above function is a quadratic function and we know,
The quadratic function domain is all real numbers.
The domain of the function is all real numbers or
D ∈ R or (-∞, ∞)
The range:
From the graph of a function:
The maximum value of the graph:
f(1.825) = 591.39
So the range of the function:
R ∈ (591.39, ∞)
Thus, the domain of the function is D ∈ R or (-∞, ∞) and the range of the function is R ∈ (591.39, ∞)
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