Answer:
One half (1/2) the measurement of the third side
Step-by-step explanation:
Mid segment theorem defines the relationship between the constructed line joining the midpoint of two sides of a triangle, and parallel to the third side of the triangle which is also called the midsegment
Whereby the angles are defined by the proportion of the sides, the midsegment will have a length which is half the measurement of the length of the third side.
Let
x: number of regular basketball
y: number of long-distance basket
We have the following system of equations:
2x + 3y = 96
x + y = 45
Solving the system we have
y = 45-x
2x + 3 (45-x) = 96
2x +135 -3x = 96
-x = 96 -135
x = 39
Then,
y = 45-x
y = 45-39
y = 6
answer
were made
regular baskets = 39
long-distance baskets = 6
Answer:
Step-by-step explanation:
I'm not doing all of them, so you can learn.
Here's the first three:
9. 6-12x
10. (and 11? dude u need to rephrase) x/(5(x+2))
Answer:
0.9 inches
Step-by-step explanation:
The sides of right triangles follow the Pythagorean Theorem:
a² + b² = c²
"a" and "b" are the two shorter sides and "c" is the hypotenuse, the longest side.
Let's plug in what we know.
a² + b² = c²
(1.2)² + b² = (1.5)²
Let's solve the exponents.
1.44 + b² = 2.25
Subtract 1.44 from both sides.
b² = 0.81
Take the square root of both sides.
√b² = √0.81
b = 0.9
The second side will be 0.9 inches.
Answer:
x = 3
Step-by-step explanation:
Here, we want to find the value of x
By mathematical convention;
NM = NL + LM
Now, substitute individual values
3x + 13 = (6x-5) + (2x + 3)
3x + 13 = 6x-5 + 2x + 3
3x + 13 = 8x -2
Collect like terms
8x -3x = 13 + 2
5x = 15
x = 15/5
x = 3