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ololo11 [35]
3 years ago
13

WILL MARK BRAINLIEST! Match each pair of angles with the correct angle relationship(s). Explain your reasoning for each.

Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

∠AOB and ∠COD are vertical angles

∠DOE and ∠COD are complementary, adjacent

∠AOB and ∠AOD are supplementary, adjacent.

Step-by-step explanation:

Let's start with ∠AOB and ∠COD.

Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.

∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.

∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.

I hope this helped!

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ExtremeBDS [4]

Answer:

3:10

Step-by-step explanation:

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3 years ago
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability t
Svetlanka [38]

Answer:

P(X = 5) = 0.166

Step-by-step explanation:

Given

Mean = 4.3

x = 5

Required

Determine the probability that the order is 5

This question can be answered using Poisson distribution.

P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}

Where

\alpha is used to represent the mean

and

\alpha = 4.3

x = 5

<em />e = 2.71828<em> ---- Euler's constant</em>

So, we have:

P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{5!}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}

P(X = 5) = \frac{4.3^5  * 2.71828^{-4.3}}{120}

P(X = 5) = \frac{1470.08443  * 0.01356859825}{120}

P(X = 5) = \frac{19.9469850243}{120}

P(X = 5) = 0.1662248752

P(X = 5) = 0.166 <em>Approximated</em>

6 0
3 years ago
wilma buys a new game that is priced $43.89. she gets successive discounts of 15% followed by 5% off on the game. the purchase p
castortr0y [4]
If you would like to know the purchase price of Wilma's game, you can calculate this using the following steps:

15% of $43.89 = 15% * 43.89 = 15/100 * 43.89 = $6.5835 = $6.58

$43.89 - $6.58 = $37.31

5% of $37.31 = 5% * 37.31 = 5/100 * 37.31 = $1.8655 = $1.87

$37.31 - $1.87 = $35.44

The correct result would be <span>$35.44.</span>
5 0
3 years ago
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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

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Differentiate f'(x) with respect to x

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We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

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Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

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Answer:

Im pretty sure it's the 2nd one

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