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3 years ago

Geometry math question no Guessing and Please show work thank you

Mathematics

1 answer:

Ede4ka [16]3 years ago

5 0

The sum of Supplementary angle =180 degrees

(2x+3)⁰ +(3x+2)⁰=180⁰

adding like terms

5x+5=180

5x=180-5

5x=175

x=175/5 =35 degrees

so the two angles are :

(2x+3)⁰ =2*35 +3 = 73⁰

(3x+2)⁰=3*35 +2 =105+2 = 107⁰

so correct option is D , 73⁰ and 107⁰

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Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

U divided by 3 = 6 what is U a solution to

drek231 [11]

Answer:

u=18

Step-by-step explanation:

u/3 =6

Multiply each side by 3

u/3*3 =6*3

u = 18

7 0

3 years ago

Read 2 more answers

Based on her results, what is the probability that two students were randomly picked and the first one chose romance and the sec

Alexxx [7]

18/28

Probability of romance and action = 18 (add the two probabilities together)

Add all probabilities together which equals 28

18/28 is your answer

6 0

2 years ago

I put the pic pls help

musickatia [10]

I think 400centimetera

4 0

3 years ago

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What's the number when the quotient of a number and -7 decreased by 2 is 10?

dsp73

Let's read through this and make an equation:
? ("number")
? / -7 ("quotient of a number and -7")
(? / -7) - 2 ("decreased by 2")
(? / -7) - 2 = 10 ("is 10")

Now we can solve:
(? / -7) - 2 = 10
? / -7 = 12
? = -84

The number is -84

3 0

3 years ago