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sergey [27]
3 years ago
10

Can someone explain the process of how to do this ACT math?

Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

Step-by-step explanation:

∠D = ∠B     {opposite angles of parallelogram are equal}

∠D = 40°

In ΔDCA

∠DCA + ∠D + ∠CAD = 180   {Angle sum property of triangle}

57 + 40 + ∠CAD = 180

       97 + ∠CAD = 180

              ∠CAD= 180 - 97

∠CAD = 83°

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Solve the equation for x, where x is a real number (5 points): <br> -5x^2 + 7x + 41 = 32
wel
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.

To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
                   x = [ -b ± √(b^2 - 4ac) ] / (2a)
                   x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
                   x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
                   x = [ -7 ± √(229) ] / ( -10)
                   x = [ -7 ± sqrt(229) ] / ( -10 )
                   x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
6 0
3 years ago
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how
Anastaziya [24]
Convert to equivalent fractions to see
Both bottom s can be 6
So times the half by 3
And times the third by 2
1/2=3/6
1/3=2/6
So she has a total of 5/6 of the movie accounted for...
So the left over is 1/6
1/6 at nighttime
8 0
3 years ago
A reactangle has a perimeter 182 in and length 52 in . what is the width ?
Misha Larkins [42]
The Width Should Be 130 Because If You Subtract 182-52 You Get 130
4 0
4 years ago
Read 2 more answers
A car is traveling at a rate of
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63/60min = 1.05k per min
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Which of the following is a polynomial function in standard form with zeros at -8,-1 and 3? Help needed!!! 10 points!!! Math 3
Rashid [163]

ANSWER

f(x) =  {x}^{3}  + 6 {x}^{2}  - 19 - 24

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

f(x) = (x + 8)(x + 1)(x  - 3)

We expand the last two factors:

f(x) = (x + 8)( {x}^{2}  - 2x - 3)

We expand further to get:

f(x) =  {x}^{3}  - 2 {x}^{2}  - 3x + 8 {x}^{2}  - 16x - 24

f(x) =  {x}^{3}  + 6 {x}^{2}  - 19 - 24

The polynomial in descending powers of x is said to be in standard form.

4 0
4 years ago
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