In ΔEFG, f = 86 inches, e = 64 inches and ∠E=32°. Find all possible values of ∠F, to the nearest degree.

Using the image, determine the length of each arc.<br> m RC=<br> m CBR =

Montano1993 [528]

<u>Given</u>:

Given that the measure of ∠CDR = 85°

We need to determine the measure of $\widehat{RC}$ and $\widehat{CBR}$

<u>Measure of arc RC:</u>

Since, we know that if a central angle is formed by two radii of the circle then the central angle is equal to the intercepted arc.

Thus, we have;

$m\angle CDR = m \widehat{RC}$

Substituting the values, we get;

$85^{\circ} = m \widehat{RC}$

Thus, the measure of $\widehat{RC}$ is 85°

<u>Measure of arc CBR:</u>

We know that 360° forms a full circle and to determine the measure of arc CBR, let us subtract the values 360 and 85.

Thus, we have;

$m\widehat{CBR}=360^{\circ}-m \widehat{RC}$

Substituting the values, we have;

$m\widehat{CBR}=360^{\circ}-85^{\circ}$

$m\widehat{CBR}=275^{\circ}$

Thus, the measure of $\widehat{CBR}$ is 275°

6 0

2 years ago

What is the common difference of the arithmetic sequence 4 2 0

VikaD [51]

Answer:

2

Step-by-step explanation:

3 0

2 years ago

Priscilla’s grandmother’s fruit salad recipe calls for one part apple, one part orange, four parts strawberry, two parts cherry,

Anvisha [2.4K]

Answer:

Step-by-step explanation:

There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange

4/11 from the entine quantity of fruits- strawberry

3/11-grapes

2/11- cherries

1/11- apples

1/11- oranges } ⇒ the quantity of oranges and apples are equal

The biggest part of the fruit- 4/11 - are strawberries

4/11>3/11>2/11>1/11

the smallest part of the fruit- apples and oranges

5 0

2 years ago

Given that an adult likes soccer, what is the probability the adult is aged 18–30? 8.1% 18.1% 24.5% 44.4%

dsp73

The probability that an adult likes soccer is aged between 18–30 will be 44.4%.

We have an adult who likes soccer.

We have to determine the probability the adult is aged 18–30.

<h3>What is Probability?</h3>

The formula to calculate the probability of occurrence of an event 'A' can be written as -

P(A) = $\frac{n(A)}{n(S)}$

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

According to question, we have an adult likes soccer.

The answer to this question is based on the hypothesis that the adults between 18 - 30 are highly energetic. To be more precisely - the adults in the range 18 - 24 and 24 - 30 are highly energetic and full of stamina. Above the age 30, the number of adults who like soccer will start to decrease and will hit nearly zero between the age range of 55 - 65 as the adults in this age group found it very difficult to even walk.

Mathematically -

The probability of an event A = an adult likes soccer is aged between 18–30 will be the highest value among the ones mentioned in options.

Hence, the probability that an adult likes soccer is aged between 18–30 will be 44.4%.

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ1

4 0

8 months ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unkno

spin [16.1K]

The other endpoint is (1, -17).

The midpoint formula is:

$m=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Using our midpoint and endpoint, we have:
$(6, -11) = (\frac{11+x_2}{2}, \frac{-5+y_2}{2})
\\
\\6=\frac{11+x_2}{2} \text{ and } -11=\frac{-5+y_2}{2}
$

For the first equation (to find the x-coordinate) we will multiply both sides by 2:
$6\times2=\frac{11+x_2}{2}\times 2
\\
\\12=11+x_2$

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂

For the second equation (the y-coordinate) we multiply both sides by 2:
$-11\times2=\frac{-5+y_2}{2}\times 2
\\
\\-22=-5+y_2$

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂

This means that (x₂, y₂) is at (1, -17).

4 0

2 years ago