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2 years ago

Complete the two-column proof.

Mathematics

1 answer:

GuDViN [60]2 years ago

3 0

1.QUAD is an isosceles trapezoid 1. Given

2. QD = UA 2. Opposite legs of an isosceles trapezoid are equal

3. QU = QU 3. Reflexive

4. QA = UD 4. Diagonals of an isosceles trapezoid are equal.

5. ΔUAQ = ΔQDU 5. SSS

6. ∠UAQ = ∠QDU 6. CPCTE

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Which expression is equivalent to (3x2+3x−3)−(6x2−4x−2)?

coldgirl [10]

Answer:

A. -3x^2+7x-1

Step-by-step explanation:

(3x^2+3x-3)-(6x^2-4x-2)

3x^2+3x-3-6x^2+4x+2

-3x^2+7x-1

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2 years ago

A -cd for a = 9, b = -3, c = -2 , d= 7

kirza4 [7]

Answer:

Step-by-step explanation:

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2 years ago

A man is sixteen years older than his father, if the total age is 57. How old is the son and the father?

Alex Ar [27]

Answer:

The son is 20 and a half years old.

The father is 36 and a half years old.

Step-by-step explanation:

We can solve this easily by turning it into an equation.

Let the mans age be y and the fathers age be x.

y+x=57

x=y+16

We can use the substitution method to solve for the first equation.

y+(y+16)=57

Now we only have one variable to solve for. Add like terms.

2y+16=57

Subtract 16 on both sides.

2y=41

Divide both sides by 2 to isolate y.

y=20.5

Now substitute 20.5 for y to solve for x.

20.5+x=57

Subtract 20.5 from both sides.

x=36.5

<em>The son is 20 and a half years old.</em>

<em>The father is 36 and a half years old.</em>

Hope this helps!

8 0

3 years ago

14. Thomas counts the number of cars he sees in the parking lot of the school each hour of the

lesya692 [45]

Answer:

Step-by-step explanation:

it is because each number is gotten by adding 12 to the previous number

8 0

2 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans

Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753$

P(sample mean hardness for a random sample of 12 pins is at least 51)

$P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)$

$= 1 - P(z < 2.6645)$

Calculation the value from standard normal z table, we have,

$P(x \geq 51) = 1 - 0.9961= 0.0039$

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0

3 years ago