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Tomtit [17]
3 years ago
5

If ABF= (7x + 20), FBC=(2x - 5), and ABC= 159", find the value of x. x =

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0

Given :

∠ABF = ( 7x + 20 )°

∠FBC=(2x - 5)°

∠ABC= 159°

To Find :

The value of x .

Solution :

Assuming B the center of a circle .

So , all three given angles must be added to 360° .

(7x+20)+(2x-5)+159=360\\\\9x+15+159=360\\\\x=20.67

Therefore , the value of x is 20.67° .

Hence , this is the required solution .

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Subtracting decimals<br><br> 4 - 21
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Answer:

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Step-by-step explanation:

It is basically subtracting 4 from 21 except the answer is negative

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Which equation represents the line through (4, -6) and (0, 2)?
lukranit [14]

Answer:

y=-2x+2

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0).

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

Plug in the given points (4, -6) and (0, 2):

m=\displaystyle\frac{-6-2}{4-0}\\\\m=\displaystyle\frac{-8}{4}\\\\m=-2

Therefore, the slope of the line is -2. Plug this into y=mx+b:

y=-2x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

The y-intercept occurs when x=0. We are given that (0,2) falls on the line, so therefore, 2 is the y-intercept. Plug this into y=-2x+b:

y=-2x+2

I hope this helps!

3 0
2 years ago
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Please answer this question now
-Dominant- [34]

Answer:

A≈422.37

You use the equation A=πr(r+h2+r2) to find the surface area of a cone

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3 years ago
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A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, &amp; 30 years.
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Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.  

A: what is the probability that a person in this population is a teenager?  

B: what is the probability of selecting a participant who is at least 20 years old?

We have that  probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

  • P(T)=0.38
  • P(T')=0.63

a)

Generally the equation for the  probability that a person in this population is a teenager   is mathematically given as

P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}

P(T)=0.38

b)

Generally the equation for the probability of selecting a participant who is at least 20 years old  is mathematically given as

P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}

P(T')=0.63

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

6 0
2 years ago
Order the numbers from least to greatest.
Mademuasel [1]

Step-by-step explanation:

-4,-3,-2,-1,4. that's the answer

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