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saveliy_v [14]
3 years ago
13

Find the measure of x in each figure.

Mathematics
1 answer:
Alex3 years ago
8 0

Step-by-step explanation:

Because 2x and 40° are complementary angles.

\therefore \: (2x) \degree + 40 \degree = 90 \degree \\  \\  \therefore \: (2x) \degree  = 90 \degree  - 40 \degree \\  \\ \therefore \: (2x) \degree  = 50 \degree  \\  \\ \therefore \: 2x  = 50  \\  \\  \therefore \: x  =  \frac{50}{2}  \\  \\ \huge \red{ \boxed{ \therefore \: x  = 25}}

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Solve for x.<br><br> −8 = 2/3x<br><br> A) −6 <br> B) −9 <br> C) −12 <br> D) −24
Reil [10]

Answer:

C. -12

Step-by-step explanation:

divide each side by 2/3

2/3x ÷ 2/3 = x

-8 ÷ 2/3 = -12

x = -12

7 0
3 years ago
Please help me. I'm lost.
amm1812
Yes cause he can decrease the perimeter in any way and it would change the area and idk the other 2 in the front
6 0
3 years ago
Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?
scoray [572]

Step-by-step explanation:

With this kind of problem, we're looking at an equation in the form

y - y1 = m(x - x1)

(m = slope)

so we can substitute m, y1, and x1 with the values we're given.

y - y1 = m(x - x1)

y - 1/3 = 3/4(x - 4)

Answer:

y - 1/3 = 3/4(x - 4)

6 0
3 years ago
PLZ help me it's is sooo hard
Andreas93 [3]
I'm not sure for number one, but for number 2 the answer to that one is the second tallest on the chart or on the histogram. For number 3 I'm not sure because i cant see the numbers there too blurry. I'm sorry but i hope i got the second one correct.
3 0
3 years ago
A function f(x)=3x+12.
seraphim [82]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822258

_______________


•  Function:   f(x) = 3x + 12.


A.  Finding the inverse of f.

The composition of f with its inverse results in the identity function:

(f o g)(x) = x

f[ g(x) ] = x

3 · g(x) + 12 = x

3 · g(x) = x – 12

              x – 12
g(x)  =  ⸺⸺
                 3

               x 
g(x)  =  ⸺  –  4    <———    this is the inverse of f.
               3

________


B.  Verifying that the composition of f and g gives us the identity function:

•  \mathsf{(f\circ g)(x)}

\mathsf{=f\big[g(x)\big]}\\\\\\ \mathsf{=3\cdot \left(\dfrac{x}{3}-4\right)+12}\\\\\\&#10;\mathsf{=\diagup\hspace{-7}3\cdot \dfrac{x}{\diagup\hspace{-7}3}-3\cdot 4+12}\\\\\\&#10;\mathsf{=x-12+12}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}


and also

•  \mathsf{(g\circ f)(x)}

\mathsf{=g\big[f(x)\big]}\\\\\\ \mathsf{=\dfrac{f(x)}{3}-4}\\\\\\ \mathsf{=\dfrac{3x+12}{3}-4}\\\\\\&#10;\mathsf{=\dfrac{\diagup\hspace{-7}3\cdot (x+4)}{\diagup\hspace{-7}3}-4}\\\\\\&#10;\mathsf{=x+4-4}\\\\&#10;\mathsf{=x\qquad\quad\checkmark}

________


C.  Since f and g are inverse, then

f(g(– 2))

= (f o g)(– 2)

= – 2          <span>✔
</span>

•  Call h the compositon of f and g. So,

h(x) = (f o g)(x)

h(x) = x


As you can see above, there is no restriction for h. Therefore, the domain of h is R (all real numbers).


I hope this helps. =)

5 0
3 years ago
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