Answer:
Step-by-step explanation:
∠AEC ≅ ∠BED as vertically opposite angles
- m∠AEC = m∠BED = 1/2(mAC + mBD), angles between intersecting chords
<u>Substitute values and solve for x:</u>
- 4x = 1/2(120 + 2x)
- 4x = 60 + x
- 3x = 60
- x = 20
<u>Find the measure of AEC:</u>
<u>AED and AEC form a linear pair hence supplementary:</u>
- m∠AED = 180° - m∠AEC<u> </u>
<u>Find the measure of ∠AED:</u>
- m∠AED = 180° - 80° = 100°
1/5 because there are five options and there is only one answer correct so there is only one out of five chance so if that is not an option go with 1/3
Answer:
For 1.56 to get to 1560 the decimal point moved three times.
Step-by-step explanation:
To explain this I will give a visual representation.
We have to get from 1.56 to 1,560 and find out how many times it moved forwards.
0). 1.560
1). 15.60
2). 156.0
3). 1,560
as you can see it moved three times.
Answer:
By using the rule that the interior angles of any triangle equal 180 we see that:
m<ABC+m<CAB+m<ACB=180°
Therefore,
(2x+15)+(x+10)+(3x+5) = 180°
Now we have an equation and can solve for x:
Combine like terms:
(2x+15)+(x+10)+(3x+5) = 180°
6x+30=180°
6x+30-30=180-30
6x=150
x=25
To check our work just plug in 25 for x in each equation and the sum of those answers should add up to 180:
2x+15
2(25)+15
65
x+10
25+10
35
3x+5
3(25)+5
75+5
80
65+35+80=180
x=25 is valid
Step-by-step explanation:
Answer:
x(x-5)(x-8)
or
x=5
x=8
Step-by-step explanation:
- x(x^2-13x+40)
- x(x-5) (x-8)
