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tankabanditka [31]
2 years ago
10

What is the measure of angle A?

Mathematics
1 answer:
fgiga [73]2 years ago
5 0

Answer:

∠A=65º

Step-by-step explanation:

  • A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
  • The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
  • Remove parenthesis, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 180, -2x=-50
  • Divide by -2, so x=25

Now:

  • ∠CAB=(25+40)º=65º
  • ∠ABC=[180-6(25)]º=30º
  • ∠BCA=[3(25)+10]=85º
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The correct answer is C
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Bob and will toss two coins. if both coins come up heads, bob pays will $6. will pays bob $2 otherwise. what is the expected val
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Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.

The expected value of the game is the price paid/gained times the probability of loss/victory:

E = (1 / 4) · (-6) + (3 / 4) · (2)
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Bob expects to tie with Will.


6 0
3 years ago
Read 2 more answers
What is the answer plz I really need help
Liono4ka [1.6K]

6) slope is 1, y-intercept is 3, equation in slope-intercept form:

y=x+3

7) Slope of the line that goes through the points (3,9) and (-5,3) is Slope=\frac{3}{4}

8) Slope = m= \frac{2}{3}

y-intercept = b= -4

Step-by-step explanation:

6) Create table of coordinate points:

x     y

-2    1

-1     2

0     3

1      4

2     5

Identify the slope:

Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{2-1}{-1-(-2)}

Slope=\frac{1}{-1+2}

Slope=\frac{1}{1}

Slope=1

So, slope is 1

Identify y-intercept.

y-intercept is found when x=0, so, looking at the table when x = 0, y= 3 so, y-intercept is 3

Equation in the form: y=mx+b

here m is slope and b is y-intercept

Putting values:

y=mx+b\\y=1x+3\\or\,\,y=x+3

So, equation in slope-intercept form:

y=x+3

7) Find the slope of the line that goes through the points (3,9) and (-5,3)

Using formula:

Slope=\frac{y_2-y_1}{x_2-x_1}

Putting values:

Slope=\frac{3-9}{-5-(3)}

Slope=\frac{-6}{-5-3}

Slope=\frac{-6}{-8}

Slope=\frac{3}{4}

So, slope of the line that goes through the points (3,9) and (-5,3) is Slope=\frac{3}{4}

8) What is the slope and y-intercept of the following equation:

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

The equation is in slope-intercept form

The general equation of slope-intercept form is:

y=mx+b

where m is slope and b is y-intercept

Comparing both equations we get:

Slope = m= \frac{2}{3}

y-intercept = b= -4

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/9369548
  • brainly.com/question/4932386
  • brainly.com/question/4819659

#learnwithBrainly

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B. Determine the values of a and b so that f is continuous.<br><br> Please help!
wlad13 [49]

Answer:

following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

\lim_{x\to 2}+f(x) = \lim_{x\to 2}+ (ax^2-bx+3) = 4a-2b+3\\\\ \to  4a-2b+3 = 4\\\\  \therefore \ \ 4a-2b = 1\\\\

The one-sided limits of F(x) at x = 3 must be equivalent for f(x) to be continuous at x = 3.

\to \lim_{x\to 3}- f(x) = \lim_{x\to 3}- (ax^2-bx+3) = 9a-3b+3\\\\ \to \lim_{x\to 3}+ f(x) = \lim_{x\to 3}+ (2x-a+b) = 6-a+b\\\\  

So,

\to 9a-3b+3 = 6-a+b\\\\\therefore\\ \to 10a -4b = 3

\to 4a - 2b = 1......(a)\\\to 10a - 4b = 3.......(b)\\

In equation a multiply the by -2 and then add in the equation b:

\to -8a + 4b = -2\\\to 10a - 4b = 3\\ \to 2a = 1\\\\ \to   a = \frac{1}{2}\\\\ \to \ 4(\frac{1}{2}) - 2b = 1\\\\ \to 2 - 2b = 1\\\\ \to   -2b = -1\\\\ \to b = \frac{1}{2}  

So, the value of a \ and \ b= \frac{1}{2}

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3 years ago
Kathy slices through a circular cake. The cake has a diameter of 14 inches. The slice that Kathy made is straight and has a leng
Tanzania [10]

Answer: chord

Step-by-step explanation:

A chord is a straight line that's typically drawn from one particular edge of a circle to another.

In this case, the diameter is 14cm while the length of the line drawn is 11cm, therefore the diameter isn't a chord. It's not a radius as well as the diameter divided by 2 gives the radius which should be 7cm.

Therefore, it's a chord.

7 0
3 years ago
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