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Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F

dybincka [34]

Answer:

11). $m(\widehat{DE})$ = 90°

12). $m(\widehat{AEC})$ = 212°

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, $m(\widehat{AB})$ = 180°

and $m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$

Therefore, $m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$ = 180°

32° + $m(\widehat{DE})$ + 58° = 180°

$m(\widehat{DE})$ = 180° - 90°

= 90°

12. Since, $m(\widehat{AD})=m(\widehat{BC})$ = 32°

$m(\widehat{AEC})$ = $m(\widehat{AB})+m(\widehat{BC})$

= 180° + 32°

= 212°

7 0

3 years ago

Find volume of triangular pyramid or prism.

almond37 [142]

I hope this helps you

5 0

4 years ago

Read 2 more answers

= 4. The sum of Ben's and David's ages is 62 yrs now. Five years from now David will be twice as old as Ben. How old is Ben now?

ki77a [65]

The age of ben and david is 24 and 38 years.

According to the statement

we have to find the age of the Ben now.

So,For this purpose, we know that the

One application of linear equations is what are termed age word problems. When solving age problems, generally the age of two different people (or objects) both now and in the future (or past) are compared.

From the given information:

The sum of Ben's and David's ages is 62 yrs now

And

Five years from now David will be twice as old as Ben.

Let the ben age is x

and the david age is y.

So, from given information:

x+y = 62 -(1)

5 years from now,

y = 2x -(2)

put (2) in the (1) then

x+y = 62 -5

x+2x = 57

3x = 57

x = 19.

And the age of davud become

y = 2(19)

y = 38 years

So, five years from now the age of ben is 19 and david is 38 years.

And now the age of the ben and age of david is

Age of ben now = 19+5

Age of ben now = 24.

Age of david now = 62 -24

Age of david = 38.

So, The age of ben and david is 24 and 38 years.

Learn more about age word problems here

brainly.com/question/13818690

#SPJ9

5 0

2 years ago

Fabio has run five eighths of the race. What fraction of the race remains?

Pavel [41]

Answer:

$\frac{3}{8}$

Step-by-step explanation:

<h2><u>Fractions </u></h2>

since $\frac{5}{8}$ has been completed

the remaining would be :

$\frac{8}{8} -\frac{5}{8}$

since <em>denominators are the same </em>

= $\frac{8 - 5}{8} \\\\$

= $\frac{3}{8}$

<u>the fraction of the race that is remaining is 3/8</u>

7 0

3 years ago

Read 2 more answers

Find the P-value in a test of the claim that the mean IQ score of acupuncturists is equal to 100, given that the test statisti

klemol [59]

Answer:

P-value = 0.0455

Step-by-step explanation:

In this question, we are concerned with calculating the P- value in a test.

Mathematically we know that;

P-value = 2 * P(Z > |z|)

Please check attachment for complete solution and by step explanation

7 0

3 years ago