Answer:
x = 18 , y = 45
Step-by-step explanation:
The angle vertically opposite 4x - 7 is congruent to it and forms a same- side interior angle with 6x + 7.
Same- side interior angles sum to 180° , then
6x + 7 + 4x - 7 = 180 , that is
10x = 180 ( divide both sides by 10 )
x = 18
Then
6x + 7 = 6(18) + 7 = 108 + 7 = 115
6x + 7 and 3y - 20 are vertically opposite angles and are congruent , so
3y - 20 = 115 ( add 20 to both sides )
3y = 135 ( divide both sides by 3 )
y = 45
Answer:
Step-by-step explanation:
The figures dont have enough letters to explain step by step all the exercises.
Bread 1:
The horizontal lines are parallels so both angles must be the same
2x + 21 = 4x - 17
21 + 17 = 4x - 2x
38 = 2x
x = 19
Bread 2:
Angles sum 180°
3y - 5 + 2y - 25 = 180
5y - 30 = 180
5y = 180 +30
5y = 210
y = 42
Bread 3:
Angle ABC is the same as the other 2, since x = 19
ABC = 2x + 21
ABC = 2 * 19 + 21
ABC = 59
Bread 4:
Angle ABC is the same as 3y - 5, y = 42
ABC = 3y - 5
ABC = 3 * 42 -5
ABC = 121
Bread 5:
Angles must be the same
5x - 14 = 2x + 13
5x - 2x = 13 + 14
3x = 27
x = 9
Bread 6:
Angle ABC = 5x - 14 , x = 9
ABC = 5 * 9 - 14
ABC = 31
If you need to understand why the angles must be the same just comment and I will give you more details
Answer:
a, c, d, e could all be used to describe this
Step-by-step explanation:
If a plane is defending it is so many feet from the ground and feet are in whole numbers. integers, rational numbers, real numbers, and whole numbers are all whole
