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erica [24]
2 years ago
6

Proving the Converse of the Parallelogram Side Theorem

Mathematics
1 answer:
Brrunno [24]2 years ago
6 0

Answer:

do it yourself

Step-by-step explanation:

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melamori03 [73]

Answer:

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7 0
2 years ago
(3x + 10) (2x + 15) what is the value of x ?
Mars2501 [29]
Answer:
6x^2 + 65x + 150

Explanation:

(3x+10)(2x+15)
6x^2 + 45x + 20x + 150
6x^2 + 65x + 150
5 0
3 years ago
A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school w
AlekseyPX

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀

7 0
3 years ago
Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y 2x3y4 xy3?.
ki77a [65]

The degree of the sum and difference of the polynomials are 6 and 7 respectively.

given polynomials are:

3x^5-2x^3y^4-7xy^3

-8x^5y+2x^3y^4+xy^3

the sum of polynomials = -5x^5y-6xy^3

the difference of polynomials = 11x^5y-4x^3y^4-8xy^3

<h3>what is the degree of a polynomial?</h3>

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

degree of sum = monomial with highest power = 5+1=6

degree of difference = monomial with highest power = 3+4 = 7

therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.

to get more about polynomials refer to:

brainly.com/question/1600696

4 0
1 year ago
USING PARALLEL LINES Find the values of x and y. Explain your reasoning.<br><br> I don’t understand
AfilCa [17]

Step-by-step explanation:

x=180°-109°=71° (Interior angles)

y= 71° (Alternate angles)

y= 180°- 65°=115° (Adjacent angles)

x= 65° (Corresponding angles)

7 0
2 years ago
Read 2 more answers
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