Alright, so what we can take as a given is that arcDE/2= ∠CDE=2x+20 since the arc corresponding to the angle is 2*the angle. To solve for arcDE, we multiply both sides by 2 to get 2(2x+20)=4x+40=arcDE. Since the arcs in a circle add up to 360 degrees and we only have -20+30x and arcDE, we have -20+40+4x+30x=360 using the associative property. Simplifying, we get 20+34x=340. Subtracting 20 from both sides, we get 340=34x. Next, we can divide both sides by 34 to get 10=x.
Answer:
Step-by-step explanation:
First, you need to find the GCF of both denominators.
That would be 21.
You would need to multiple the 7 in 4/7 by 3, to get to 21. That means you would also have to multiply 3 by the 4. You should get 12/21.
Do you same thing to 1/3.
After that you should get the 2 factions, 12/21 and 7/21
12/21 + 7/21 = 19/21
There isn't anyway to simplify it, meaning the final answer is 19/21.
Answer:
-350/9 (improper fraction)
-38 8/9 (mixed number)
Step-by-step explanation:
Converting to improper fractions :
- 3 5/3
- 3 x 3/3 + 5/3
- 9/3 + 5/3
- <u>14/3</u>
2. -8 1/3
- -(8 x 3/3 + 1/3)
- -(24/3 + 1/3)
- <u>-25/3</u>
Multiplying them :
- 14/3 x -25/3
- -350/9 (improper fraction)
- -38 8/9 (mixed number)
Answer:
<em>41 degrees</em>
Step-by-step explanation:
<em>According to Angle Sum Property, the sum of the internal angles of a triangle is equal to 180 degrees.</em>
<em>Therefore,</em>
<em>52 + 87 + ? = 180</em>
<em>139 + ? = 180</em>
<em>? = 180 - 139</em>
<em>? = 41 degrees</em>
