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2 years ago

For what value of x is ΔABC ~ ΔDEF? A. 12 B. 25 C. 44 D. 52

Mathematics

1 answer:

USPshnik [31]2 years ago

6 0

Answer:

A. 12

Step-by-step explanation:

If A and D are congruent, then $4x - 6 = 42$ which becomes $4x = 48$ after adding which then solves down to $x = 12$ .

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Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3

Zolol [24]

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

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1 year ago

Find the slope of the line shown on the graphs to the right

Aloiza [94]

the slope is y = 7/8x - 0.5 im pretty sure

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2 years ago

You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a

svetoff [14.1K]

Answer:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

$ME = 50$ margin of error desired

$\sigma = 1000$ the standard deviation for this case

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=0.01$ . And for this case would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663$

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0

2 years ago

Determine the coordinates of the point $P$ on the line $y=-x+6$ such that $P$ is equidistant from the points $A(10,-10)$ and $O(

lidiya [134]

Answer:

P=(3,3)

Step-by-step explanation:

We need to find a point P in the line $y=-x+6$ such that $PA=P0$ where $A=(10,-10)$

Observe that the coordinates of P are $(x,y)=(x,-x+6)$ because P is in the line.

Then,

$PA=P0\\(x,-x+6)(10,-10)=(x,-x+6)(0,0)\\10x+(-x+6)(-10)=0\\10x+10x-60=0\\20x=60\\x=3$

We reeplace the value of x in the coordinates of P and obtain the point

$(3,-3+6)=(3,3)=P$

7 0

2 years ago

Three consecutive integers add up to -36. What are the integers?

nasty-shy [4]

Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36

Plz mark brainliest if helps Also hope helps:)

4 0

1 year ago