Answer:
The best estimate of the length of each piece of wire is 20.8 inches (Approx).
Step-by-step explanation:
Let us assume that the length of each pieces of wire be x.
As given
Jason has a piece of wire that is 62.4 inches long.
He cuts the wire into 3 equal pieces.
Than the equation becomes
3x = 62.4
x = 20.8 inches (Approx)
Therefore the best estimate of the length of each piece of wire is 20.8 inches (Approx).
I belive the answer is no. Tell me if im doing this wrong, but the square root of 380 is a decimal number.
Answer : The measure of angle MBT is 28°.
Step-by-step explanation :
As we see that the ∠NBM is equal to ∠MBT.
That means,
∠NBM = ∠MBT
Given:
∠NBM = (17x - 6)°
∠MBT = (5x + 18)°
According to question:
∠NBM = ∠MBT
(17x - 6)° = (5x + 18)°
17x - 5x = 18° + 6°
12x = 24°
x = 2°
So,
∠NBM = (17x - 6)° = [(17 × 2) - 6]° = 28°
∠MBT = (5x + 18)° = [(5 × 2) + 18]° = 28°
Hence, the measure of angle MBT is 28°.
The measure of angle MBT is
To find the measure of angle MBT, we can use the angle sum property of a triangle, which states that the sum of all angles in a triangle is 180 degrees.
In triangle MBT, we have three angles: angle MBT (which we want to find), angle N (measured as (17x - 6)°), and angle BMT (measured as (5x + 18)°). According to the angle sum property, the sum of these angles is 180 degrees:
Substituting the given angle measures, we get:
Now, combine like terms:
To solve for x, subtract 12 from both sides:
Finally, divide by 22 to solve for x:
The value of x determines the measure of angle MBT. Without the specific value of x, we cannot determine the exact measure of angle MBT. If you provide the value of x, I can help you find the precise measure of angle MBT.
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