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andrey2020 [161]
3 years ago
7

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0
Triangle AEF and triangle DFK are similar to each other, this implies that the ratio of the corresponding sides are equal. Hence:
Using the proportions and ratio we have
 the correct statement is:
b
Galina-37 [17]3 years ago
5 0

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, \triangle EFA and \triangle KFD are similar triangles.

Because, \angle FAE= \angle FDK and \angle FEA= \angle FKD (because EA and KD are parallels. And, \angle F is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

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A student used the graph below to identify the minimum/maximum. The student said the graph had a maximum of 1. Explain the stude
11Alexandr11 [23.1K]

Answer: Answer is in the step.

Step-by-step explanation:

The student made a mistake by identifying the maximum point by the x coordinate value of the vertex. Minimum or maximum points are determine using the y coordinate value.The student can determine the difference between a maximum and minimum by identifying the y coordinate of the vertex.

7 0
3 years ago
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
den301095 [7]

Answer:

True

Step-by-step explanation:

Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.

8 0
3 years ago
Read 2 more answers
X+2y + z = 4<br> 1. 4y - 3z = 1<br> y + 5z = 6
Feliz [49]

Answer:

The values of x = y = z = 1  

Step-by-step explanation:

Given three linear equation as ,

x + 2y + z = 4               .......a

     4y - 3z = 1               .......b

       y + 5z = 6             ........c

Now solve eq a and b first

   4y - 3z = 1   ×  5

    y + 5z = 6  ×  3

Or, 20y - 15z = 5

      3 y + 15z = 18

so ,(20y - 15) + (3y +15 ) = 5 +18

or,   23 y = 23  

∴           y = 1

Now put this y value in eq c

so , 1 + 5z = 6 ,

Or,       5z = 6-1 =5

∴            z = 1

Again put this y and z value in eq a

so, x + 2(1) + (1) = 4

Or,                x   = 4 -3

∴                   x = 1

Hence from the above solutions , the value of x = y =z = 1        Answer

4 0
3 years ago
a number rounded to the nearest hundred thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. Wha
spayn [35]

Answer:

360000

Step-by-step explanation:

Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.

For example: The number COULD be 351,000 but, that is not the only possible answer.

but the answer would be 360000.

4 0
3 years ago
mr george has a bank balance of 42 dollar at the start of the mouth.after he depostite 6 dollar the new balance is
Lubov Fominskaja [6]

Answer:

48 dollars.

Step-by-step explanation:

If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.

7 0
3 years ago
Read 2 more answers
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