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3 years ago

Answer number 12 please

Mathematics

1 answer:

vova2212 [387]3 years ago

7 0

Answer:

They are congruent by SSS.

Step-by-step explanation:

Consider the 2 triangles:

WX ≅ WZ (given)

XP ≅ ZP ( given in the diagram).

WP is common to both triangles.

Therefore they are congruent by SSS.

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3 years ago

Missy took a math test and got 35 correct and 10 incorrect. What was the percentage of correct answers?(round to the nearest hun

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3 years ago

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3 years ago

Read 2 more answers

PLEASE HELP!!

e-lub [12.9K]

Answer:

Part 1) The inverse function is $f^{-1}(x) =\frac{2x-3}{4}$

Part 2) 25.75 weeks

Step-by-step explanation:

Let

x ---->the number of weeks in the course

f(x) ---> the number of assignments he has completed

we have

$f(x)=\frac{4x-3}{2}$

Part 1) Find the inverse

Let

y=f(x)

$y=\frac{4x-3}{2}$

Exchange the variables (x for y and y for x)

$x=\frac{4y-3}{2}$

Isolate the variable y

$2x=4y-3\\4y=2x+3\\\\y=\frac{2x+3}{4}$

Let

$f^{-1}(x) =y$

$f^{-1}(x) =\frac{2x+3}{4}$

Part 2) we have

$f^{-1}(x) =\frac{2x+3}{4}$

where

$f^{-1}(x)$ ---->the number of weeks in the course

x ---> the number of assignments he has completed

For x=50

substitute in the inverse function

$f^{-1}(x) =\frac{2(50)+3}{4}=25.75\ weeks$

Note: Juliana don't need to use the inverse function. you can just use the function you have where f(x)=50 assignments and solve for x to get the amount of weeks.

$50=\frac{4x-3}{2}\\\\100=4x-3\\4x=103\\x=25.75\ weeks$

6 0

4 years ago