angle HDG = angle HFE
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Explanation:
We have the statement given to us. Note that "H" is in the middle for both sequences of three letters. For DHG, start at H and move back one space to get to D. Move back another unit to wrap around to G. So the new sequence is HDG which forms the first angle.
Follow the same pattern but for FHE now. Start at H, move backward one spot to F, then move back again to wrap around to E. We have HFE
This shows angle HDG pairs up with angle HFE. The corresponding angles are congruent due to CPCTC
CPCTC = corresponding parts of congruent triangles are congruent
Notice how angles HDG and HFE are alternate interior angles, which lead to showing DG is parallel to EF.
(10x+20y+10z)
Answer:
I think the answer is 40.
Step-by-step explanation:
6 cm
6 cm
6 cm
6 cm
360 cm2
216 cm2
72 cm2
288 cm2
Answer:
I believe that the answer is C: 72 cm²
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
The coordinate (x,y)=(-2,-3).
We have given the following pair of equations
y = 3x + 3.....(1)
y = x − 1.....(2)
Here we use the substitution method
The value of one variable from one equation is substituted in the other equation
So the given system of linear equation
We have substitute the value of y from equation 2 into the value of y in equation one
So we get
x − 1= 3x + 3
add like terms
x-3x=3+1
-2x=4
x=4/-2
x=-2
Plug x=-2 in equation 2 we get,
y = -2 − 1
y=-3
Therefore we get the coordinate(x,y)=(-2,-3).
To learn more about the substitution method visit:
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Approximately how many red candies will be in the packages?
Answer:
5
Step-by-step explanation:
Among the 20 digits shown, each digit appears in the list twice except 0 and 1 appear 3 times and 6 and 9 appear once. That means ...
So, if 1 and 2 represent red candies, there are 3+2 = 5 red candies in the simulated random sample of 20 candies.
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Comment on the question
The simulation makes sense only if it represents taking a single candy from each of 20 packages (of unknown quantity of candies). That is, it seems we cannot answer the question, "how many red candies will be in the packages?" We can only answer the question, "how many of the simulated candies are red?"
Answer:
5
This is the correct answer! I just took the test! Good luck!