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blagie [28]
3 years ago
10

14. The measure of Fis 110. The measure of 2E is 100° What is the measure of D? 150°

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

According to given angles ,

Angle C=180- angle F (Linear pairs or st.line )

=70

Angle B = 180 - angle B (Same as above)

=80

Now

Angle D =Angle C + Angle B (Exterior angle property of a triangle)

=150°

Enjoy

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor
xenn [34]

Answer:

The required probability is \dfrac{13}{50}

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em>\times<em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em>\times<em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Probability of selecting a water bottle:

\dfrac{30}{50} = \dfrac{3}{5}

Probability of selecting a lemon flavored bottle from water bottle:

\dfrac{8}{30}

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em>\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}<em></em>

<em></em>

Probability of selecting a tea bottle:

\dfrac{20}{50} = \dfrac{2}{5}

Probability of selecting a lemon flavored bottle from tea bottle:

\dfrac{5}{20} = \dfrac{1}{4}

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em>\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}<em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em>\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}<em></em>

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3 years ago
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Dimas [21]
Base  or base number
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Solve for x please. First correct answer I’ll mark as brainliest
katrin [286]

Answer:

x=7

Step-by-step explanation:

6 0
2 years ago
Dominos.com allows you to build your own pizza online, but it only reveals the price at the end of the process. Watch
Ede4ka [16]

Answer:

Hi there!

Your answer is:

Domino's waits to reveal the price until the end because, psychologically, you're predisposed to put & LEAVE more toppings on your pizza. If you see how each topping affects the price of the pizza each time you add one, you may limit the amount you choose. If you wait until the end to see it, by that point you think "Well I <em>need</em> these toppings on there to make it delicious." From a business standpoint, it's more financially beneficial to use the "hide the price until the end" system. However, from a consumer standpoint, most prefer seeing a live breakdown of how each topping affects the price so we can limit what we pay to a reasonable amount.

I hope this helps!

3 0
3 years ago
1. What values of a, b, and c would you use in the quadratic formula for the following equation?
Archy [21]
Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4

Question (2):
The given expression is:
 -5 + 2x²<span> = -6x 
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)

Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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