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2 years ago

Find the measure of ∠ 2. degrees

Mathematics

1 answer:

miv72 [106K]2 years ago

7 0

$If\ it's\ a\ rhombus,\ then\ |\angle1|=26^o\\\\|\angle1|+|\angle2|+26^o=180^o\ \ /it's\ a\ triangle/\\\\26^o+|\angle2|+26^o=180^o\\52^o+|\angle2|=180^o\ \ \ |subtract\ 52^o\ from\ both\ sides\\\boxed{|\angle2|=128^o}$

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How do you illustrate quadratic equation in one variable?

soldi70 [24.7K]

Step-by-step explanation:

Quadratic Equation

Quadratic equation is in the form

ax2+bx+c=0

Where

a, b, & c = real-number constants

a & b = numerical coefficient or simply coefficients

a = coefficient of x2

b = coefficient of x

c = constant term or simply constant

a cannot be equal to zero while either b or c can be zero

Examples of Quadratic Equation

Some quadratic equation may not look like the one above. The general appearance of quadratic equation is a second degree curve so that the degree power of one variable is twice of another variable. Below are examples of equations that can be considered as quadratic.

1. 3x2+2x−8=0

2. x2−9=0

3. 2x2+5x=0

4. sin2θ−2sinθ−1=0

5. x−5x−−√+6=0

6. 10x1/3+x1/6−2=0

7. 2lnx−−−√−5lnx−−−√4−7=0

For us to see that the above examples can be treated as quadratic equation, we take example no. 6 above, 10x1/3 + x1/6 - 2 = 0. Let x1/6 = z, thus, x1/3 = z2. The equation can now be written in the form 10z2 + z - 2 = 0, which shows clearly to be quadratic equation.

Roots of a Quadratic Equation

The equation ax2 + bx + c = 0 can be factored into the form

(x−x1)(x−x2)=0

Where x1 and x2 are the roots of ax2 + bx + c = 0.

Quadratic Formula

For the quadratic equation ax2 + bx + c = 0,

x=−b±b2−4ac−−−−−−−√2a

See the derivation of quadratic formula here.

The quantity b2 - 4ac inside the radical is called discriminat.

• If b2 - 4ac = 0, the roots are real and equal.

• If b2 - 4ac > 0, the roots are real and unequal.

• If b2 - 4ac < 0, the roots are imaginary.

Sum and Product of Roots

If the roots of the quadratic equation ax2 + bx + c

= 0 are x1 and x2, then

Sum of roots

x1+x2=−ba

Product of roots

x1x2=ca

You may see the derivation of formulas for sum and product of roots here.

4 0

3 years ago

On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT

Nat2105 [25]

I think it would be 6 units

5 0

2 years ago

Read 2 more answers

Please soleeeeeeeeeeeeèeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

sineoko [7]

Step-by-step explanation:

Answer is 99. I am pretty sure.

8 0

2 years ago

Answer 37, 38, and 39 and make sure to answer with either the letter or with one of the answers shown! SHOW YOUR WORK PLEASE!!

ollegr [7]

Answer:

I didn't even realize until I had written all of the answers down that they are all C.

37 = C. 15%

38 = C. 2 $x^{3}$

39 = C. 48

Step-by-step explanation:

37: I used process of elimination to figure out which percentage of decrease it was by just multiplying 42 by each percentage until I got 6.3 which is what you need to subtract from 42 to get 35.7, so the answer is C, or 15%.

38: A coefficient is the number that is being multiplied by the variable, which in this case is "x". So whatever answer involves "2x" is the correct answer. Therefore the answer is C, or 2 $x^{3}$ .

39: You have to add the amount of money Henry paid for painting supplies and how much profit he mad to figure out how much money he really made. 400 + 560 = 960 and he charges $20 for each painting so you need to divide 960/20 to get your answer, which is C, or 48.

8 0

2 years ago

Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite

Nataly_w [17]

The statement 1:"If parallel lines have a transversal, then corresponding angles are congruent" is theorem, because it has been proved. It is a logical consequence of axioms.
The statement 2:"A line has an infinite number of points extending in opposite directions." is postulate or also referred as axiom, because is taken to be true without proof. Is it a true statement that can not be proven.

3 0

2 years ago