Answer:
Step-by-step explanation:
10 yards in 5 hours is 2 yards an hour
8*2=16 yards in 8 hours
Answer:
The ordered pair that satisfies the equation is (7, -1)
Step-by-step explanation:
In order to find this, we can solve by subtracting. Start by stacking the two equations on top of one another and subtracting like terms.
3x + 3y = 18
(-) 2x + 3y = 11
--------------------
x = 7
Now that we have the value for x, we can plug in to either equation to find y.
2x + 3y = 11
2(7) + 3y = 11
14 + 3y = 11
3y = -3
y = -1
X + 0.5y = 3
x^2 - y = 15
from the first equation:-
0.5y = 3 - x
y = 6 - 2x
Substitute for y in second equation:-
x^2 - (6 - 2x) = 15
x^2 + 2x - 21 = 0
x = [-2 +/- sqrt((4 - 4*-21)] / 2
= 3.6904 , -5.6904
Plugging in these into first equation we get
3.6904 + 0.5y = 3 so y = 2(3-3.6904) = -1.3808
-5.6904 + 0.5y = 3 so y = 2(3 + 5.6904) = 17.3808
Solution is x = 3.690, y = -1.381 ; x = -5.690, y = 17.38 ( to 4 s.f's)
Answer:
a. The arm spans for Class A have more variability than the arm spans for Class B.
Step-by-step explanation:
The stemplot for the Arm span is given for Class A and Class B. The variability of Class A are higher than variability of Class B. The arm spans of Class A have values greater than Class B. The mean of Class A is greater than Class B.
Answer:
IJ = LM.
Step-by-step explanation:
The Side-angle-side postulate states that if the pair of a corresponding sides and angles formed between these sides of two triangles are equal in measurement then these two triangle are said to be congruent.
As shown in figure 1 below:
In Δ HIJ and ΔKLM,
∠I = ∠L = 20° and HI = KL = 5 units
Since the ∠I lies between HI and IJ and ∠L lies between KL and LM, ∴ if IJ = LM then Δ HIJ and ΔKLM will be congruent by SAS postulate.
