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3 years ago

Can someone explain to me

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

3 0

Answer:

The correct angles would be AFE and CFD

Step-by-step explanation:

Vertical angles are 2 intersecting lines that make equivalent angles (usually 180 degrees of each other). Basically a vertical angle is the opposite of another angle, having the same degrees as it's opposite, or vertical, in this case.

You might be interested in

Why might you want to use the commutative property to change the order of the integers in the following sum before adding

Delicious77 [7]

Commutative Property is the property in which you can move around numbers in numerical operations like, addition and multiplication while retaining their result. In contrast to subtraction and division in which position is an important factor for every result, here it is regardless. Why might you want to use this property?Well, most importantly it suits the operation of addition and hence, to ensure the arrangement of the number is in symmetric proportion to its counterpart such as 3 + 2=2 + 3. Or rather, understanding that the equations in both sides are but the same and equal in sum. Thus, this is much more usable or will make more sense if used in a larger scale of complex equations and integers.

4 0

3 years ago

Mike drew a quadrilateral with four right angles. What shape could be drawn?

Darya [45]

There could be 2 possible shapes that could’ve been drawn.

A rectangle, or a square.

All of their angles are 90° angles, which are right angles.

Hope this helped!

5 0

3 years ago

1) You are designing a new kiddie soccer arena. The area of the rectangular

nikdorinn [45]

Answer:

The length of the rectangular field is 12 ft and the width is 5 ft.

Step-by-step explanation:

The area of a rectangle is:

$\text{Area} = \text{length}\times \text{width}$

The area of a rectangular field is, A = 60 ft.

The length of the field is:

l = w + 7

Compute the width of the field as follows:

$\text{Area} = \text{length}\times \text{width}$

$60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\$

Factorize the last equation by splitting the middle term as follows:

$w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0$

Now, since the width of rectangular field cannot be negative, the width is 5 ft.

Compute the length as follows:

l = w + 7

= 5 + 7

= 12

The length of the rectangular field is 12 ft.

7 0

3 years ago

A data set includes 40 pulse rates of men, and those pulse rates have a mean of 67.3 beats per minute and a standard deviation o

Dafna11 [192]

Answer:

The 99% confidence interval of the standard deviation of the pulse rates of men is

$[ 7.949 \ \ , \ 14.387 ]$

Step-by-step explanation:

From the question we are told that

The sample size is n = 40

The mean is $\= x = 67.3 \ beats \ per \ minute$

The standard deviation is $s = 10.3 \ beats \ per \ minute$

Generally the degree of freedom is mathematically represented as

$df = n- 1$

=> $df = 40- 1$

=> $df = 39$

From the question we are told the confidence level is 99% , hence the level of significance is

$\alpha = (100 - 99 ) \%$

=> $\alpha = 0.01$

Generally from the chi distribution table the critical value of at a degree of freedom of is

$X^2 _{\frac{\alpha }{2} , 39} = 65.476$

Generally from the chi distribution table the critical value of at a degree of freedom of is

$X^2 _{1- \frac{\alpha }{2} , 39} = 19.996$

Generally the 99% confidence interval of the standard deviation of the pulse rates of men is mathematically represented as

$s \sqrt{\frac{n- 1}{X^2_{1- \frac{\alpha }{2} , n-1} } }\ \ , \ s \sqrt{\frac{n- 1}{X^2_{\frac{\alpha }{2} , n-1} } }$

=> $10.3 \sqrt{\frac{40- 1}{65.476} }\ \ , \ 10.3 \sqrt{\frac{40- 1}{19.996} }$

=> $[ 7.949 \ \ , \ 14.387 ]$

6 0

2 years ago

.write these numbers in standard form

Volgvan

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

−

Step-by-step explanation:

4 0

2 years ago