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avanturin [10]
3 years ago
11

What is the value of x

Mathematics
1 answer:
Arisa [49]3 years ago
7 0
C. 13

In the circle, angle F is an inscribed angle. The arc measure of an inscribed angle is the inscribed angle times 2. So you set up the equation as;

(6x-8)2=10x+10

Distribute

12x-16=10x+10

Add 16 on both sides

12x=10x+26

Subtract 10x from both sides

2x=26

Divide 2 from both sides

X=13
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Write the equation of the circle that has a center of (-7, 17) with<br> a radius of V19.
kipiarov [429]

I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at <em>(h,k)</em> and <em>radius r</em> is given by {\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}} . Now , using same concept in this question ;

{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}

<em>This is the required equation of Circle </em>

8 0
2 years ago
Darrin put the numbers 7.25, 7.52, 5.72 and 5.27 in order from the greatest to the least. Is his work correct? Explain.
vampirchik [111]
No his work is not correct because 5.72 is larger than 5.27. so therefore you can not be correct
3 0
3 years ago
Read 2 more answers
Find M<br>a)21<br>b)32<br>c)40<br>d)63<br><br>Step by step please​
lina2011 [118]

Answer:

  a)  21

Step-by-step explanation:

If the columns are labeled a, b, c, d left to right, it appears that we have ...

  \sqrt{a}\times(b-c)=d\\\\\sqrt{49}\times(10-7)=21

The value of M is 21.

_____

Questions like this require that you try different combinations of operations on the numbers shown to see if you can find a relationship. Here, the left column is a perfect square, so that is a clue. The difference of the numbers in the middle columns is a factor of the number in the right column -- another clue. It takes a certain amount of creative thought and familiarity with arithmetic facts. There is no "step-by-step" for a problem like this.

5 0
3 years ago
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What is the value of x?<br> Please show the steps
nordsb [41]
Let D be the endpoint of the angle bisector opposite A on lying on side BC. The angle bisector theorem states that the ratio of BD to CD is equal to the ratio of AB to AC. In this case, you have

\dfrac{2x-1}{3x}=\dfrac9{15}

(This is the same equation that you have, it's just rearranged.)

Multiply both sides by 3x and 15.

15\times3x\times\dfrac{2x-1}{3x}=15\times3x\times\dfrac9{15}
15(2x-1)=3x\times9

Now you can solve for x.

30x-15=27x
3x=15
x=5
6 0
3 years ago
Solid A has a volume of 28 in³. The scale factor of A to B is 1:2. What is the volume of Solid B?
PilotLPTM [1.2K]

Answer: 56in³

Step-by-step explanation:

Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:

1/2 = 28/x

Cross multiply

1 × x = 2 × 28

x = 56

Therefore, the volume of solid is 56in³.

4 0
3 years ago
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