Answer:70
Step-by-step explanation:910/13=70 so he gives away 70 loafs of bread.
Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57
Answer:
Angles supplementary to angle 9 = Angle <u>10</u>, <u>7</u>, <u>5</u>, <u>1</u>, <u>4</u>, <u>3</u>, <u>15</u>, <u>12</u>, <u>24</u>, <u>22</u>, <u>20</u>, <u>19</u>, and angle <u>16</u>.
Step-by-step explanation:
Use the vertical, and corresponding angles theorem to find congruent angles.
Look for linear pairs (adjacent(next to each other, or share a side) angles that make 180° or a straight angle) from the corresponding angles.
Something is supplementary if it adds to 180 degrees.
The vertical angles theorem states that pairs of opposite angles made by interesecting lines are congruent.
The corresponding angles theorem states that corresponding or angles relative to the same position are congruent if the transversal crosses at least 2 parallel lines.
Answer:
5x-18=4x+7 ( vertical opposite angle)
5x-4x=7+18
x=25
Answer:
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