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Gnoma [55]
3 years ago
8

Please help with these 3 questions and show all work!

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
Question 1:
"Match" the letters
DE are the last two letters of BCDE
The last two letters of OPQR is QR
DE is congruent to QR

Question 2:
Blank 3: Reflexive property (shared side)
Blank 4: SSS congruence of triangles (We have 3 sets of congruent sides)

Question 3:
I'm guessing those two numbers are 7.
Since both are 7, AB and AE are congruent.
We know that all the other sides are congruent because it is given.
We also know that there is a congruent angle in each triangle.
Thus, the two triangles are congruent by SAS or SSS.
(Note: I couldn't prove this without the two "7"s because there is no such thing as SSA congruence)

Have an awesome day! :)

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B. 12.5%

Step-by-step explanation:

Add all the hours together to get 20. We make the assumption that 20 is 100% since it is our output value. We next represent the value we seek with x. From step 1, it follows that 100%=20. In the same vein, x%=2.5.This gives us a pair of simple equations:

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By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left hand side) of both equations have the same unit (%); we have

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Therefore, 2.5 is 12.5% of 20.

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