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postnew [5]
2 years ago
6

What is the measure of angle W in the figure

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0
Angle w equals 130 degrees.

Explanation:
A line equals: 180 degrees total.
180-50=130
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When two probabilities
Ivenika [448]

Answer: True  

Step-by-step explanation: Because if we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together.  "Two events happening at the same time" is a compound event.  We more often see this as "P(xy)," the probability of x AND y.

7 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
Free brainliest ! :)
kodGreya [7K]

Answer:

Thanks!

Step-by-step explanation

Thank you!

8 0
3 years ago
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What percent of 105 is 108
katrin2010 [14]

Answer:

97.222222222222%

Step-by-step explanation:

Convert fraction (ratio) 105 / 108 Answer: 97.222222222222%

if it were to be shorter it wold be 97.2%

Please consider giving me Brainliest

darrylh3333

Hope this helps

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7 0
3 years ago
A waiter earns $128 for six hours of work. The total included $86 in tips. How much does the waiter earn each hour??A waiter arm
Lady bird [3.3K]

Answer:

The waiter earns $7 per hour

Step-by-step explanation:

In this question, we are asked to calculate the amount a waiter earns per hour at work given the total he had earned including tips.

To solve this question, we can see that we have been given the total amount he has earned and also the amount he has also earned in tips.

Now, to get the standard amount he’s supposed to earn per hour, firstly, we have to subtract the amount he has earned in tips from the total. Mathematically that is 128-86 = $42

This means, by standard he has earned $42 in six hours. Now, we need to calculate the amount she earns by hour.

To do this, we simply divide the total amount earned by the number of hours.

Mathematically that is $42/6 hours = $7 per hour

4 0
3 years ago
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