Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = 
= 297/10 = 29.7
variance = 
= 289.56
SD = 
= 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Answer:
(2, - 1 ) and (5, 2 )
Step-by-step explanation:
y + 2 = (x - 3)² → (1)
y + 3 = x ( subtract 3 from both sides )
y = x - 3 → (2)
Substitute y = x - 3 into (1)
x - 3 + 2 = (x - 3)² ← expand using FOIL
x - 1 = x² - 6x + 9 ( subtract x - 1 from both sides )
0 = x² - 7x + 10 ← in standard form
0 = (x - 2)(x - 5) ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 - 3 = - 1 ⇒ (2, - 1 )
x = 5 : y = 5 - 3 = 2 ⇒ (5, 2 )
Never, because intersecting means crossing over.
~IndexFinger :)
