5. If a = b, and b = c then a = c is the transitive property.
6. The converse is switching the order of the statement.
The answer would be If A <15, then a <10: true
7. You have RS + ST = RT
Using subtraction property solve for RS by subtracting ST from both sides to get: RS = RT-ST
8. The addition property would be adding the same thing to both sides:
So. If p=q, then p+s = q+s
9. Vertical angles are the same:
6x-22 = 4x+2
Subtract 4x from both sides:
2x-22 = 2
Add 22 to both sides:
2x = 24
Divide both sides by 2:
x = 12
Hey there! :)
In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!
That equation is : a² + b² = c²
a = adjacent side
b = long side of rectangle
c = hypotenuse
We're already given the values of both a & c, so let's plug everything in!
a² + b² = c² → a = 10 , b = ? , c = 20
(10²) + b² = (20²)
Simplify.
100 + b² = 400
Subtract 100 from both sides.
b² = 400 - 100
Simplify.
b² = 300
Get the square root of b² & 300.

Simplify!
b = 17.3
So, the missing side length is the first answer choice : 17.3~Hope I helped!~
Answer:
420
Step-by-step explanation:
Each of the 7 appetizers can be paired with one of 10 entrees, and each entree can be paired with one of 6 desserts. So the number of combinations is:
7 × 10 × 6 = 420
The formula for volume is l x w x h.
To find the missing link, we do the equation backwards.
l x 2.5 x 5 = 75
If we divide 75 by 5 then by 2.5, we get 6 which becomes our length.
To check, do 5 x 2.5 x 6 which should equal 75
6 is your length
Answer:
Step-by-step explanation:
x2=256
By taking Square root we get
x=16