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LenaWriter [7]
2 years ago
6

Pls help due asap Thanks in advance

Mathematics
1 answer:
ira [324]2 years ago
4 0

Answer:

Angle ABF is 120°.

Step-by-step explanation:

Vertical angles are used to get the measure of angle ABG (3x) and FBE (2x) and all of those added together are 180. Then you use PEMDAS to get x. Then you find ABF by multiplying 3 by 30 (what you get when you use PEMDAS to find x) then you add 30 to that and you get 120.

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Solve 2(b − 3) ≥ 3(3 − b) and describe the graph of the solution. Show all your work.
solong [7]

Answer:

\large\boxed{b\geq3\to b\in[3,\ \infty)}

Step-by-step explanation:

2(b-3)\geq3(3-b)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(2)(b)+(2)(-3)\geq(3)(3)+(3)(-b)\\\\2b-6\geq9-3b\qquad\text{add 6 to both sides}\\\\2b-6+6\geq9+6-3b\\\\2b\geq15-3b\qquad\text{add}\ 3b\ \text{to both sides}\\\\2b+3b\geq15-3b+3b\\\\5b\geq15\qquad\text{divide both sides by 5}\\\\\dfrac{5b}{5}\geq\dfrac{15}{5}\\\\b\geq3

,\ \geq-\text{line to the right}\\-\text{o}\text{pen circle}\\\leq,\ \geq-\text{closed circle}

4 0
3 years ago
Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i
insens350 [35]

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

d=\frac{38.759}{2}\\d=19.3795\ m

The wall is 19.3795 m away from Karen.

3 0
3 years ago
How do you factor 3u^3-4u^2-9u+12 ?<br> Can someone please help?
Juliette [100K]
3u³ - 4u² - 9u + 12
u²(3u) - u²(4) - 3(3u) + 3(4)
u²(3u - 4) - 3(3u - 4)
(u² - 3)(3u - 4)
5 0
3 years ago
What is the value of X in the equation shown?<br> 8*4=(x*7)-(x*3)
Oksana_A [137]
8·4=(x·7)-(x·3)
32=7x-3x
32=4x
x=8
This is your answer.
7 0
3 years ago
Solve equation<br> Five less than the quotient of a number and 4 is equal to -12.
baherus [9]

Answer:

x = -28

Step-by-step explanation:

Get equation: x/4 -5 = -12

Solve:                  +5    +5

                     x/4      =  -7

                     *4            *4

                      x        =  -28

4 0
2 years ago
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