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ASHA 777 [7]
3 years ago
5

​ Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0
When the quadrilateral is inscribed in a circle (a "cyclic" quadrilateral), opposite angles are supplementary. This fact gives a relationship between angles B and D that lets us find the value of x.
  ∠B + ∠D = 180
  (2x-4) + (3x+9) = 180
  5x +5 = 180
  x = (180 -5)/5 = 35

Now, we can find angle C as
  ∠C = 180 - ∠A
  ∠C = 180 - (2×35+3)
  ∠C = 107°
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Find x for me please thanks<br><br> ill give brainilest thaks
Mekhanik [1.2K]

Answer:

105°

Step-by-step explanation:

On the other side it is 75°. The 2 lines are parallel. X is 105° because 180°-75°=105°.

I hope you understood it :)

8 0
3 years ago
The point (5,4) lies on a circle. what is the length of the radius of this circle if the center is located at (3,2)
Art [367]
Use the x and y values from your point and the h and k from the center to write the equation you need to solve for r.  The general form of the equation for a circle is (x-h) ^{2} +(y-k) ^{2} = r^{2}.  We will fill in accordingly: (5-3) ^{2}+(4-2) ^{2} = r^{2}.  Solve for r to get that r= \sqrt{8}
4 0
3 years ago
Log3+logx=5/2<br>find x​
Naya [18.7K]

Answer:

x = 105.4

Step-by-step explanation:

We are given;

Log 3 + log x = 5/2

We are required to find x;

We are going to use the laws of logarithms to solve for x

That is;

log a + lob b = log(ab)

Therefore;

Log 3 + log x = 5/2

we get;

log 3x = 2.5

But;

Given, logₐb= x , then b = a^x

In this case;

log 3x = 2.5

we get , 3x = 10^2.5

That is , 3 x = 316.227

                x = 105.4

Thus, the value of x is 105.4

3 0
3 years ago
If R is the midpoint of QS,QR=5x-4 and RS=2x+2,find QS
VashaNatasha [74]

Answer:

First graph it out. Once you do that you can see that QR is the same as RS. So you can do the equation 5x-4=2x+2. Once you solve this out you would get 2.4. I'm just an advanced 7th grader, so you can redo the problem to make sure  

Step-by-step explanation:

QS=2.4

7 0
2 years ago
Hello can anyone help me with this one questions?
zysi [14]

Answer: c

Step-by-step explanation:

3 0
3 years ago
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