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svetoff [14.1K]
4 years ago
15

Given: ∠BCD is right; BC ≅ DC; DF ≅ BF; FA ≅ FE Which relationships in the diagram are true? Check all that apply.

Mathematics
2 answers:
Margaret [11]4 years ago
5 0
Given that B C ≅ D C and D F ≅ B F. Also, C F <span>≅ C F by refrexive property.

Therefore, </span><span>△ C B F ≅ △ C D F by S S S


</span>Given that <span>F A ≅ F E
i.e. </span><span>A F ≅ E F
Also, given that </span><span>D F ≅ B F
i.e. </span><span>F D ≅ F B

This means that A F + F D </span>≅ E F + F B which means that A D <span>≅ E B

Now, given that </span>∠ B C D is right, this means that △ C B E is a right triangle with the right angle at C and E B as its hypothenus. Also △ C D A is a right triangle with the right angle at C and A D as its hypothenus.

Thus, given that A D ≅ E B and the legs B C ≅ D C, therefore, <span>△ C B E ≅ △ C D A by H L.


</span>Therefore, the true statements are:
<span>△CBF ≅ △CDF by SSS, and
</span>
<span>△CBE ≅ △CDA by HL</span>
Nonamiya [84]4 years ago
3 0

Answer:

Triangle CBE =~ Triangle CDA by HL    b/c hypotenuse, leg and right angle =~

Triangle BFA =~ Triangle DFE by SAS   b/c side, angle, side are =~

Triangle CBF =~ Triangle CDF by SSS   b/c side, side, side are =~

Plus, I got it correct on the quiz :)

Step-by-step explanation:

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7 0
3 years ago
Can y’all help it’s a test and the answer choices are<br> A) 6<br> B) 4<br> C) -1<br> D) 1
Vsevolod [243]

Answer:

It's 4 (B)

Reasoning:

When X is equal to its lowest point (1 in this case, but it's usually 0), y is equal to 4

I hope this helps and good luck!

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3 years ago
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almond37 [142]

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

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=>  

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

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Answer:

32

Step-by-step explanation:

8 times 4 = 32

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3 years ago
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Determine the number of solutions for the equation 1 - 3(x - 2) = 7 - 3x
faltersainse [42]
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