Answer:
The answers to the first question are A,C,D
The answer to the second question is YZ=16
Step-by-step explanation:
(1st Question)
Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.
You need to create the following equation to find the length of KN and MN 7x-4=5x+12
(Get the "x" variable to one side)
2x-4=12
(Isolate the variable)(Remove the 4)
2x=16
(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)
x=8 (Answer Choice)
Plug in the x value into each equation
KN= 7(8)-4
KN= 56-4
KN= 52
MN= 5(8)+12
MN= 40+12
MN= 52 (Answer Choice)
MN=KN
(Second Question)
Since XWY(20) is half of XWZ(40), ZWY also equals 20.
This now proves the triangle is congruent by the AAS postulate.
Since the triangles are congruent, if XY = 16, YZ also equals 16.
Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.
Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.
539/22=24.5. Since there is a remainder, you will need 25 trucks total
Answer:
1. Over 6,486 completed high-rise buildings, in New York City, are at least 35 meters, of which at least 113 are taller than 600 feet (183 m).
2. The empire State Building is 1,250′, 1,454′ to tip
3. Over 3.5 million people visit
Find the mean, median, mode and range of the given data set. 12, 15, 17, 9, 17 a. 14, 15, 17, 8 c. 7, 14, 15, 17 b. 14, 12, 17,
Alex
Answer:
a. 14, 15, 17, 8
Step-by-step explanation:
To solve this problem, start by finding how many cans will be collected in 5 months. To do this, take the amount of cans collected each month and multiply it by the number of months. Set these values up in an equation.
This leaves you with:
3.75(5) = x
Multiply the values to get 18.75 pounds of cans.
So this fills the first blank.
For the second blank, you must subtract the number collected from the number that was the goal for the class.
This results in the expression:
20.5 - 18.75
Subtract the values to fill the second blank with 1.75 pounds.
Since they didn’t meet their goal, the last blank would be “less.”
I hope this helps! :)