Step-by-step explanation:
<h3>Part A</h3>
<u>Angle measures:</u>
- a = x = z = 51° (as vertical angles and corresponding angles)
- b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>
Supplementary angles for a linear pair and sum to 180°.
<u>Examples are:</u>
- a and b or
- a and d or
- x and y etc.
The answer is ....1.237149 x 10^18
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
Answer:
Cora put 3600 apple slices in each bowl.
Step-by-step explanation:
Cora sliced 18 kg of green apples for a Party.
She divided the Apple slices equally between 5 large bowls.
We need to find how many grams of Apple slices did Cora put in each bowl.
Since,
1 kg = 1000 grams
18 kg = 18000 grams
To find how many grams of Apple slices did Cora put in each bowl, divide total apples by total no of bowls.

Hence, Cora put 3600 apple slices in each bowl.
Answer: 3
This is the answer if you think its wrong i don't know its correct i got it right