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Rama09 [41]
3 years ago
7

3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to p

oint D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °
Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

Attached photo work is created by another brainly user named tallinn.

Click on this link to find his work and possibly more information of the answer. Thanks!

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The domain of startfraction f over g endfraction f g consists of numbers x for which g left parenthesis x right parenthesisg(x)
Misha Larkins [42]

The domain of f/g consists of numbers x for which g(x) cannot equal 0 that are in the domains of both f and g.

 

Let’s take this equation as an example:

If f(x) = 3x - 5 and g(x) = square root of x-5, what is the domain of (f/g)x. 


For x to be in the domain of (f/g)(x), it must be in the domain of f and in the domain of g since (f/g)(x) = f(x)/g(x). We also need to ensure that g(x) is not zero since f(x) is divided by g(x). Therefore, there are 3 conditions.

 

x must be in the domain of f: f(x) = 3x -5 are in the domain of x and all real numbers x.

x must be in the domain of g: g(x) = √(x - 5) so x - 5 ≥ 0 so x ≥ 5.

g(x) can not be 0: g(x) = √(x - 5) and √(x - 5) = 0 gives x = 5 so x ≠ 5.

 

Hence to x x ≥ 5 and x ≠ 5 so the domain of (f/g)(x) is all x satisfying x > 5.

 

Thus, satisfying <span>satisfy all three conditions, x x ≥ 5 and x ≠ 5 so the domain of (f/g)(x) is all x satisfying x > 5.</span>

5 0
3 years ago
Mandy took a total of 6 quizzes over the course of 3 weeks at this rate, after attending 5 weeks of school this quarter how many
Over [174]

Answer:

6 quizzes

Step-by-step explanation:

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6 0
3 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
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9514 1404 393

Answer:

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Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

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  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
2 years ago
The discount on a pack of socks is 15%. It is on sale for $17. What is the original price of the pack of socks?
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Answer:

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4 0
3 years ago
Will give brainliest to correct answer.
kirill [66]
It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this.  That will look like this: (2 \sqrt{x} +1)^2=( \sqrt{x} +1)^2+(2 \sqrt{x} )^2.  FOIL out the left side to get 4x+4 \sqrt{x} +1.  FOIL out the first of the 2 expressions on the right to get x+2 \sqrt{x} +1,  and the second of the 2 to get 4x.  Our equation now looks like this:  4x+4 \sqrt{x} +1=x+2 \sqrt{x} +1+4x.  Combine like terms to get an equation that still has square roots in it that we have to deal with:  4x-x-4x=-2 \sqrt{x}  and x=2 \sqrt{x}.  We will square both sides to get rid of the square root sign.  x^{2} =2x.  This is a polynomial now that can be factored to solve for x.  Bring the 2x over by subtraction and set the polynomial equal to 0.  x^{2} -2x=0.  Factor out an x, leaving us with  x(x-2)=0.  That means that x = 0 or x - 2 = 0 and x = 2.  Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2.  x = 2
3 0
3 years ago
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