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Pachacha [2.7K]
3 years ago
7

How do you solve this

Mathematics
1 answer:
Doss [256]3 years ago
6 0

Answer:y=7

Step-by-step explanation:x=2+7=8

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Secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40o, arc AB = 60o, and arc BC = 160
s344n2d4d5 [400]

Answer:

C. 130^{\circ}

Step-by-step explanation:

Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40^o, arc AB = 60^o, and arc BC = 160^o. We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.    

\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})

\widehat{AD}=360^{\circ}-(260^{\circ})

\widehat{AD}=100^{\circ}

\angle AED=\frac{160^{\circ}+100^{\circ}}{2}

\angle AED=\frac{260^{\circ}}{2}

\angle AED=130^{\circ}

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

6 0
3 years ago
how to use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence 24,30,36,42,48,...
Leni [432]
A1=24 
<span>n=500(seq #) </span>
<span>d=how much u add each time=6 </span>

<span>a(n)=24+(500-1)(6)=3018</span>
7 0
3 years ago
Read 2 more answers
Find the anhle measure x in the figure​
Margarita [4]

Answer:

x=25°

Step-by-step explanation:

<u>Sum of angles of a triangle equals 180°</u>

  • x + 10° + 2x + 15° + 3x + 5° = 180°
  • 6x + 30° = 180°
  • 6x = 180° - 30°
  • 6x = 150°
  • x = 150°/6
  • x = 25°
5 0
3 years ago
Determine whether line segment FG is tangent to circle E. <br><br> True or False
lisabon 2012 [21]
The tangent line to a circle makes an angle of 90 degrees with the radius.
If |FG| is tangent to circle E. then
30^2 = 26^2 + 17^2
which is not true.
Therefore, line segment FG is not tangent to circle E.
6 0
3 years ago
2/3 * 10/24*-3 1/8* -4/5
nadya68 [22]

Answer: 25/36

Step-by-step explanation:

Multiply:

2/3 * 10/24 = 20/72 = 5/18

-3 1/8 * -4/5 = 5/2

5/18 * 5/2 = 25/36

7 0
3 years ago
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