
Here, in the given figure. Angle y° forms vertical opposite angle pair with Angle 163°, therefore they have equal values.
that means ~

Answer:
540m
Step-by-step explanation:
From the question,we are told
It takes 30 minutes or less to walk from home to school and back home again
Time walking to school = 30 or less minutes
Time walking from school = 30 less minutes
Speed walking to school = 30m/min
Speed walking from school = 45m/min
The question asked us to find the Distance between home and school
The formula for Distance covered = Speed × Time
Total distance = Total Speed(m/min) × Total time(minutes)
Let the distance between home and school be represented by x
Time to walk from the house to school = x/ 45m/min + x/ 30m/min
= 30 × x + 45 × x/1350
=( 75x / 1350)
Time to walk from school or to school = 30 minutes of less
= 75x/1350 = 30
75x = 1350 × 30
x = 1350 × 30/75
x = 540m
Therefore, distance between home and school = 540m
Answer:
The answer is B
Step-by-step explanation:
I just did the Quick Check, the attachment is the answer, np.
Answer:
12,000 m³
Step-by-step explanation:
- Area of it's base = 900 m²
- Height of the pyramid = 40 m
The volume of a pyramid = 1/3 × area of base × height
= 1/3 × 900 × 40
= 300 × 40
= 12,000 m³
Answer:
1, 5, 2, 4, 3, 7, 6
Step-by-step explanation:
After dividing by the leading coefficient, each equation can be put into the form ...
x² + y² + ax +by +c = 0
Subtracting c and separately completing the square for x-terms and y-terms, we get ...
x² + ax + (a/2)² + y² + by + (b/2)² = -c + (a/2)² + (b/2)²
(x +a/2)² + (y +b/2)² = r² = (a/2)² + (b/2)² -c . . . . . rewrite in standard form
Ordering by the square of the radius length will match the ordering by radius length, so we just need to compute (a/2)² +(b/2)² -c for each given equation. I find it convenient to let a calculator or spreadsheet do this calculation (see attached).
In the order the equations are given, the square of the radius is ...
3, 18, 45, 23, 5, 117, 46
So the order of the equations from smallest radius to largest is ...
1, 5, 2, 4, 3, 7, 6