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PSYCHO15rus [73]
1 year ago
13

What is the value of x? image below

Mathematics
2 answers:
tino4ka555 [31]1 year ago
7 0
Angle HJK is given and is 63 degrees, then angle HJK is a number added to 63 that makes 180 degrees. Angle HJK is 117. That means angle AHI is a number plus 117 = 180. Angle AHI is 63.
A triangle makes 180 degrees total no matter what so if we have two angle measures we can add them and subtract from 180. 63 + 45 = 108. 180-108= 72 degrees :)
prisoha [69]1 year ago
3 0

Answer:

Angle x = 72

Step-by-step explanation:

Angle AHI = Angle HIK = 63

(This is because the two angles are corresponding angles, HI//JK)

Angle x = 180 - 63 - 45

             = 72

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What is the coordinate?
faltersainse [42]
Remember that the equation of a circle is:
(x - h)^{2} + (y - k)^{2} =  r^{2}
Where (h, k) is the center and r is the radius.
We need to get the equation into that form, and find k.

x^{2} - 6x +  y^{2} - 10y = 56

Complete the square. We must do this for x² - 6x and y² - 10y separately.

x² - 6x
Divide -6 by 2 to get -3.
Square -3 to get 9. Add 9,
x² - 6x + 9

Because we've added 9 on one side of the equation, we have to remember to do the same on the other side.

x^{2} - 6x + 9 + y^{2} - 10y = 65

Now factor x² - 6x + 9 to get (x - 3)² and do the same thing with y² - 10y.

y² - 10y
Divide -10 by 2 to get -5.
Square -5 to get 25.
Add 25 on both sides.

(x - 3)^{2}+ y^{2} - 10y + 25= 90

Factor y² - 10y + 25 to get (y - 5)²

(x - 3)^{2}+ (y - 5)^{2} = 90

Now our equation is in the correct form. We can easily see that h is 3 and k is 5. (not negative because the original equation has -h and -k so you must multiply -1 to it)

Since (h, k) represents the center, (3, 5) is the center and 5 is the y-coordinate of the center.
7 0
3 years ago
Charlotte reads 8 1/3 pages of a book of in 10 minutes. What is her average reading rate in pages per minute?
shtirl [24]

The answer as a fraction is 5/6

We want to figure out how many pages Charlotte can read in 1 minute. Since we know how many pages she can read in 10 minutes, in order to find out how many she reads in 1 minute, simply do 10 divided by 8 1/3. Which will give you your answer, 5/6.

3 0
3 years ago
The box plot suggests that Olga served fewer than what number of aces during about 75% of tennis matches
mariarad [96]

Answer:

d) 10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full
blondinia [14]
<h3>Answer:</h3>

The tank can hold up to 9 gallons.

Quick Review:

By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.

7/12 * 12/7 = 1

Doing the Problem:

By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.

5 1/4 ---> 21/4

Okay, lets go!

21/4 * 12/7 = 252/28

<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>

Hope that helps, :)

6 0
3 years ago
-5 = 7 + -4/5x<br><br> I just need answer
Goryan [66]
Answer: x=15

Answer: x=15
.......
8 0
3 years ago
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