I revised some of your answers and work so that it was complete and correct.:) I highlighted the final answers for everything but the graphs.
Answers:
A) SAS
B) ASA
E) LL
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Explanation:
Let's go through each possible answer choice
A. We can use SAS because we know that AC = XZ (horizontal sides) is one pair of congruent sides, the angle pairing is C = Z, and the other pair of sides is BC = YZ (vertical sides)
B. We can also use ASA. Note how A = X is one pair of angles, AC = XZ is the middle pair of sides, and C = Z is the second pair of angles. The side is between the angles.
C. We can't use SSS as we don't know AB = XY is true or not. There are no tick marks indicating congruence.
D. We can't use LA here because we don't know the altitudes (LA = leg altitude)
E. We can use LL here because we have two right triangles. The two pairs of legs (AC = XZ and BC = YZ) are congruent based on the tickmarks.
F. We can't use HL similar to the reasoning for choice C. We don't know the hypotenuses are congruent or not. If we knew that AB = XY, then we could use HL (hypotenuse leg).
Answer:
Paul: 0.40m + 68.00
Harper: 0.65m + 23.00
Step-by-step explanation:
M here represents the amount of miles. So, if you add it to the equation, you get the total cost. For example if I wanted to hire Paul for 2 miles, it would be 0.40(2) + 68.00
0.40(2) = 0.80
0.80 + 68 = 68.80
It would be $68.80 for 2 miles.
Given:
<span>11 11.5 10.5 17 14.5 14.5 18 17 19
Arrange in chronological order from least to greatest.
10.5 ; 11 ; 11.5 ; 14.5 ; 14.5 ; 17 ; 17 ; 18 ; 19
</span><span>I used an online lower and upper fence calculator to get the necessary data.
Minimum: 10.5
Maximum: 19
Q1: 11.25
Q2 or median: 14.5
Q3: 17.5
Interquartile range can be solved by subtracting the value of Q1 from the value of Q3
IQR = Q3 - Q1
IQR = 17.5 - 11.25
IQR = 6.25 CHOICE A. </span>
The least common denominator of 5/12 and -9/16
The answer is 48.
Now, we have to change the numerators also to make this a equal fraction to the first ones we had.
5*4 = 20
12*4 = 48
20/48
-9*3 = -27
16*3 = 48
-27/48
