Answer:
the answer is 20
Step-by-step explanation:
use the pythagorean theorem
1] 12 x 12 = 144
2] 16 x 16 = 256
3] 144 +256= 400
4] find square root of 400 which is equal to 20
Answer:
A is the Answer
Step-by-step explanation:
Since the population is being split up into 2 divisions out of 5,000.
This means District X and Y must add up 5000.
District X and Y must differ no more than 500 people.
So this means that X and Y total people difference cannot be over 500 people. So the equation for this is
A shows this so A is the answer.
<u>Statement </u> <u>Reason</u>
1. AB = x + 16 1. Given
BC = 4x + 11
AC = 77
2. AB + BC = AC 2. Segment Addition Postulate
3. x + 16 + 4x + 11 = 77 3. Substitution Property
4. 5x + 27 = 77 4. Simplification <em>(added like terms)</em>
5. 5x = 50 5. Subtraction Property of Equality
6. x = 10 6. Division Property of Equality
7. AB = 10 + 16 7. Substitution Property
8. AB = 26 8. Simplification <em>(added like terms)</em>
EQ. 1: x + y = 8
EQ. 2: 4x-y = 7
Rewrite EQ. 1 as EQ. 3: x = 8-y
Replace x in EQ.2 with EQ. 3:
4(8-y) - y = 7
Use the distributive property:
32 - 4y - y = 7
Combine like terms:
32 - 5y = 7
Subtract 32 from each side:
-5y = -25
Divide both sides by -5
y = -25 / -5
y = 5
Now replace y with 5 in EQ. 3 to solve for X:
x = 8-5
x = 3
The point of intersection is X = 3, Y = 5, which is written as (3,5)
Answer:
calories
Step-by-step explanation:
Given: The racer moves at 
miles per hour expends energy at a rate of 
calories per hour.
To find: Energy in calories, required to complete a marathon race 
miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles 
calories.
Now, energy expended while moving 
mile 
calories.
So, energy expended while moving miles 
calories.
Hence, calories of energy is required to complete a marathon race miles at this pace.
