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kirill115 [55]
3 years ago
7

Someone help me with this proof please ​

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

the first statement is: AB is congruent to DC.

reason: given

Step-by-step explanation:

im not sure about the others

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Do as many as you can please. (don't do only 2 though.)
miskamm [114]

1. (7x+2) (10x+3)

2. (2x-1) (7x-2)

3. (2x-9)  (7x+4)

4. (12x+1) (5x+2)

5. (4x-3) (5x+9)

6. (6x-5) (3x-2)

4 0
4 years ago
Which equation describes a line with a slope of -8 and includes the point (-4, 7)?
timurjin [86]
Such an equation would be y + 8x = - 25 (standard form) OR y = -8x - 25 (y-intercept form)
 
Deriving The Answer:

By using the point-slope form of the equation of a line, by knowing the gradient of that line and a point on that line, the equation of this line can be derived.

Now, the point-slope form exists as y - y₁ = m ( x - x₁)

since slope = -8 and the point on the line = (-4 , 7)

Then m = - 8
          x₁ = - 4
          y₁ =  7
                              ⇒  y - 7 = -8 ( x - (-4))

                              ⇒ y - 7 = -8x - 32

                              ⇒ y + 8x = - 25
                   


3 0
3 years ago
Please helppppp!!!!!
BaLLatris [955]

Answer:

C

Step-by-step explanation:

Let g(x) be y

From the (1,4)

When x =1 y =?

These (2x)^2

(2 × 1)^2 = 2 ^2 = 4

5 0
4 years ago
Is 2/5 greater than less than equal to 2/3 * please tell me how to do the work! And not just tell the answer bc this is a test!*
Likurg_2 [28]

Answer:

2/5 is less than 2/3

Step-by-step explanation:

bc  the bottom number is how many in total and in 2/3 the number on the top only needs 1 more to be a whole.

3 0
3 years ago
A research firm needs to estimate within 3% the proportion of junior executives leaving large manufacturing companies within thr
Y_Kistochka [10]

Answer:

972 junior executives should be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

35% of junior executives left their company within three years.

This means that \pi = 0.35

0.95 = 95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

To update this study, how many junior executives should be surveyed?

Within 3% of the proportion, which means that this is n for which M = 0.03. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}

\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2

n = 971.2

Rounding up:

972 junior executives should be surveyed.

5 0
3 years ago
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