Which statements are true?

Mathematics

1 answer:

Mashutka [201]2 years ago

6 0

Answer:

It doesn’t necessarily ask for reasoning, but I’ll just say all of the above are correct, the definition of congruent is “identical in form” or the same. A 25 degree angle would be congruent to a 25 degree angle, two intersecting lines form 4 angles or two lines that equal 180 degrees on each side, and both angle pairs of 2 are gonna be congruent to each other respectively, and two congruent angles of 45 degrees would add up to 90 degrees.

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Find the gradient, picture below

hoa [83]

Answer:

$\frac{dy}{dx} = \frac{13}{8}$

Step-by-step explanation:

$y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } }$

When x = 4,

$\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8}$

3 0

2 years ago

Read 2 more answers

f a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the st

galina1969 [7]

This question is incomplete, the complete question is;

A study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 24.6 pounds and a standard deviation of 8.0 pounds.

Step 2 of 2 : If a sampling distribution is created using samples of the amounts of weight lost by 51 people on this diet, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.

Answer:

the standard deviation of the sampling distribution of sample means is 1.12

Step-by-step explanation:

Given the data in the question,

population mean; μ = 24.6 pounds

Population standard deviation; σ = 8.0 pounds

sample size; n = 51

Now determine the standard deviation of the sampling distribution of sample means.

standard deviation of the sampling distribution of sample means is simply

⇒ population standard deviation / √sample size

= 8.0 / √51

= 8.0 / 7.141428

= 1.120224 ≈ 1.12

Therefore, the standard deviation of the sampling distribution of sample means is 1.12

5 0

2 years ago

Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?

defon

Answer:

(-2, -2)

Step-by-step explanation:

Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.