Answer:
First angle = 30°
Second angle = 60°
Third angle = 90°
Step-by-step explanation:
x + y + z = 180
y + z = 5x
z = y + 30
then:
y + (y+30) = 5x
2y + 30 = 5x
x = (2y+30)/5
then:
x + y + z = 180
{(2y+30)/5} + y + y+30 = 180
{(2y+30)/5} + 2y + 30 = 180
{(2y+30)/5} = 180 - 30 - 2y
{(2y+30)/5} = 150 - 2y
2y+30 = 5(150-2y)
2y+30 = 5*150 + 5*-2y
2y+30 = 750 - 10y
2y + 10y = 750 - 30
12y = 720
y = 720/12
y = 60°
x = (2y+30)/5
x = (2*60 + 30)/5
x = (120+30)/5
x = 150/5
x = 30°
z = y + 30
z = 60 + 30
z = 90°
Check:
x + y + z = 180°
30° + 60° + 90° = 180°
Answer:
13,087 = 3x + 7,594
Step-by-step explanation:
have a good day
The entire length of the line, AE, is 38. We are asked to find the length from point C to point E.
AB and BC are both 5 units in length. The length from point B to point D is 17. So, if we subtract 5 from 17, we get 12.
The length between point C and point D is 12. DE appears to be of the same distance. So, DE is also 12.
12 + 12 = 24
So, CE = 24.
6 divided by 2 equals 3. Multiplying with 6 is like multiplying like 3 because multiplying by 6 is equal to multiplying by 3 then multiplying that answer by 2, and getting the same answer as you would when you multiply by 6.
Answer:
Step-by-step explanation:
Given:
Solve:
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