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Viktor [21]
3 years ago
13

What value of x will make the given triangles congruent?

Mathematics
1 answer:
Molodets [167]3 years ago
6 0
Because you're trying to make them congruent, equal the two expressions to each other. 

So, for #10 you would equal them so it would look like this. 
2x+2=5x-19

Then you would just go ahead and simplify

2x+2=5x-19
-2x     -2x
---------------
2= 3x -19
+19    +19
---------------
21=3x
---  ----
3     3

x=7

This means that x should be 7. You can check this just by plugging it in

2x+2
2(7)+2 = 16

5x-19
5(7)-19= 16

Same with #11.

x+8=3x-14
-x     -x
--------------
8=2x-14
+14   +14
--------------
22=2x
---  ----
2     2

x=11

Check. 

x+8
11+8= 19

3x-14
3(11) - 14 = 19
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AlekseyPX

For this case we have the following functions:

f (x) = x ^ 2 + 5\\g (x) = 2x ^ 3-1

By definition of composition of functions we have:

(f / g) (x) = \frac {f (x)} {g (x)}

Then substituting:

f (-3) = (- 3) ^ 2 + 5 = 9 + 5 = 14\\g (-3) = 2 (-3) ^ 3-1 = 2 (-27) -1 = -54-1 = -55

So:

(f / g) (- 3) = \frac {14} {- 55} = - 0.25

Answer:

(f / g) (- 3) = \frac {14} {- 55} = - 0.25

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3 years ago
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-142

Step-by-step explanation:

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2 years ago
A store has a 20% sale on everything. An item originally cost 350 AED. What is the sale price? Show your work of how you calcula
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Answer:

Step-by-step explanation:

A store has a 20% sale on everything.

So since you are saving 20%, you will only be paying 80% of the original price.

To find the sale price use the following formula:

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They told us the original price = 350 AED

This means:

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