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°
Let no. of large bags = l
Let no. of small bags = s
4l * 2.5s = 50
He will buy 6 large and 10 small bags.(49$)
Answer:
Brainiest
Step-by-step explanation:
"The classical revival of the late eighth and early ninth centuries, without doubt, the most momentous and critical stage in the transmission of the legacy of Rome, was played out against the background of a reconstituted empire which stretched from the Elbe to the Ebro, Calais to Rome, welded together for a time into a political and spiritual whole by the commanding personality of an emperor who added to his military and material resources the blessing of Rome. Although the political achievement of Charlemagne (768-814) crumbled in the hands of his successors, the cultural movement which it fostered retained its impetus in the ninth century and survived into the tenth.
Answer:
60
Step-by-step explanation:
There are 2+5 = 7 ratio units of students. If we multiply the numbers by 5, we can have a total of 35 ratio units of students: 10 : 25.
Now, we can substitute this into the ratio of teachers to students:
teachers : students = 3 : 35
teachers : (male students : female students) = 3 : (10 : 25)
Then the number of teachers is seen to be 3/25 of the number of female students:
(3/25)(500) = 60 . . . teachers
550=km is what I think it is but not a hundred percent sure