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Karolina [17]
3 years ago
15

Find the measure of angle XAZ in the figure below.

Mathematics
1 answer:
Bess [88]3 years ago
5 0

Answer:

m∠XAZ = 40°

Step-by-step explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

             = 40°

Therefore, measure of angle XAZ is 40°.

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andres has 10 more goldfish than todd. Together,they have 50 goldfish.How many goldfish does each boy have?
Dmitry [639]
Let's go ahead and construct an equation to show this. Together, they have 50 goldfish. This can be represented as =50. 

Since we don't know how many Todd has, we're going to make a variable. We'll name it T, for Todd.

What about Andres? How many does he have? 10 more than Todd. Well, if Todd's amount is T, and Andres has 10 more, we can express that as T+10.

Now, just put the two pieces together! T+10=50. 

The next step is inverse operations. You want to find out how many T is, so you need to get rid of the 10. To take 10 away from something is doing what? Subtraction! Be warned, though; whatever you do to one side of the problem, you have to do to the other. 10-10 is 0, and 50-10 is 40. Since we took the 10 away and 50 is now 40, what you're left with is T=40.

Wait a second.. wasn't "T" Todd's amount? Yep! That means that Todd has 40 goldfish. And we already know that Andres has 10, so there's your answer!
3 0
3 years ago
Read 2 more answers
Find the mean of the data set l. -8, 12, 25.9, -6.3, 21.7​
zaharov [31]

Answer:

9.06

Step-by-step explanation:

1. Add up all data values to get the sum:

-8 + 12 + 25.9 + -6.3 + 21.9 = 45.5

2. Count the number of values in your data set:

5

3. Divide the sum by the count:

45.4/5 = 9.06

4. You can round to 9.1

7 0
3 years ago
Anyone help please I need it
andreev551 [17]

Answer:

-10+i\sqrt{2}

Step-by-step explanation:

One is given the following expression:

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (\sqrt{}) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (\sqrt{-1}=i). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.

\sqrt{4}-\sqrt{-98}-\sqrt{144}+\sqrt{-128}

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

Take factors from out of under the radical:

\sqrt{2*2}-\sqrt{-1*2*7*7}-\sqrt{12*12}+\sqrt{-1*2*8*8}

2-7i\sqrt{2}-12+8i\sqrt{2}

Simplify,

-10+i\sqrt{2}

8 0
3 years ago
What's the distance school and the library
Anarel [89]
The library is a magical place where you read and check out books and the local library makes funny puns like turning a redbox into a redbox for books.
6 0
3 years ago
Solve 8x − 2(x + 1) = 7x + 8. (5 points)<br><br><br><br> 6<br><br> −6<br><br> −10<br><br> 10
sesenic [268]
First, simplify the equation.
8x - 2x - 2 = 7x + 8
Now subtract 8 on both sides to get rid of the one on the right side.
8x - 2x - 10 = 7x
Solve the left side.
6x - 10 = 7x
Subtract 6x from both sides.
-20 = x
Therefore, x = -20.
7 0
3 years ago
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