Answer:
Slope- 4
Distance- 12.4
Midpoint- (6,8)
Step-by-step explanation:
Slope- 

Distance- 




Midpoint- 


(6,8)
Answer:
0.07378
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ/√n, where
x is the raw score = 65 inches
μ is the population mean= 64.5 inches
σ is the population standard deviation = 2.99
n = 75
z = 65 - 64.5 /2.99/√75
z = 0.5/0.345255461
z = 1.4482
Probability value from Z-Table:
P(x<25) = 0.92622
P(x>25) = 1 - P(x<25)
= 1 - 92622
= 0.07378
The probability that the mean height for the sample is greater than 65 inches is 0.07378
Answer:
central angle =23.88°
Step-by-step explanation:
Given:Arc length =10ft
radius= 24ft
To find : central angle
Formula: Arc length = 2πr.
°
⇒
=
⇒
= 
⇒
23.8853503°
Answer: Translate triangle ABC so that point B lies on point D to confirm ∠B ≅ ∠D.
Step-by-step explanation: Since we already know that angle A is congruent to itself by the reflexive property, all we need is another pair of corresponding angles to be congruent according to the AA (angle-angle) similarity postulate. This postulate states that; If two corresponding angles of two or more triangles are congruent, the triangles are similar. So when we translate triangle ABC so that point ∠B lies on ∠D, we prove that these two angles are congruent.
I also got it right on the test. So... yeah.
hope this helps dood.
Given: BO : OY = 5:8. Coordinate B is located at (4,2,) ; O is located at (57/8,-3) and Y is located at (x,y).
We have to determine the coordinate Y.
We will use cross section formula which states:
The coordinates
are divided in the ratio
by the Coordinate A. So, the coordinates of A are given by the formula:

Here, 



x = 12.125
Now, 


y = -11
So, the coordinate is Y(12.125, -11).