1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ki77a [65]
3 years ago
8

Given: circle k(O), ED diameter, m∠OEF=32°, m EF=(2x+10)°. Find: x

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

The value of x is 53\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc DF

we know that

The inscribed angle measures half that of the arc comprising

so

m

we have

m

substitute

32\°=\frac{1}{2}(arc\ DF)\\ arc\ DF=64\°

step 2

Find the measure of x

we know that

arc\ DF+arc\ EF=180\° ---> is a semi circle

we have

arc\ DF=64\°\\ arc\ EF=(2x+10)\°

substitute

64\°+(2x+10)\°=180\°\\ 2x\°=180\°-74\°\\ 2x\°=106\°\\ x=53\°

You might be interested in
The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard devi
son4ous [18]

Answer:

Step-by-step explanation:

Since the length of time taken on the SAT for a group of students is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = length of time

u = mean time

s = standard deviation

From the information given,

u = 2.5 hours

s = 0.25 hours

We want to find the probability that the sample mean is between two hours and three hours.. It is expressed as

P(2 lesser than or equal to x lesser than or equal to 3)

For x = 2,

z = (2 - 2.5)/0.25 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 3,

z = (3 - 2.5)/0.25 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(2 lesser than or equal to x lesser than or equal to 3)

= 0.97725 - 0.02275 = 0.9545

6 0
4 years ago
An artist can paint 4 paintings in 2 hours. What is the artist’s unit rate?
RUDIKE [14]

Answer: if we divide the numerator and denominator by two, we get that he can paint two paintings in one hour. His unit rate is 2:1.

4:2 divide by two to make the denominator 1

2:1 solution has 1 in the denominator

Step-by-step explanation:

3 0
2 years ago
Mariah just read the following passage in a short story:
Nana76 [90]

Answer:

D. enlargement

Step-by-step explanation:

enlargement means to increase something

3 0
3 years ago
Read 2 more answers
A. $20,950.75<br><br> B.$28,458.50<br><br> C.$31,045.50<br><br> D.$34,650.75
quester [9]

Answer:

C) 31,045.50

Step-by-step explanation:

<em>p*</em>855= amount of money made from sold products

You must subtract the amount of money spent from the amount of money made from sold products.

213750-6780=206970

To find the amount that the CEO of the company owned, you must multiply the number by 15% or 0.15:

206970*0.15= $31045.50

Therefor, the CEO made $31,045.50 that month.

4 0
2 years ago
Savannah was paid $87 for 12 hours of babysitting and $65.25 for 9 hours. What is the constant of proportionality that describes
antoniya [11.8K]
12 hours worth $87

1 hour would be  $87/12 = $7.25


9 hours worth $65.25

1 hour would be  $65.25/9 = $7.25


The constant of proportionality is  $7.25 per hour.
7 0
4 years ago
Other questions:
  • Matrices cannot be multiplied.<br><br> True<br> False
    9·2 answers
  • Which of the following reactions occurs at the anode in a voltaic cell? Cu2+ (aq) + 2e– → Cu (s)
    11·2 answers
  • What is the area of the figure?<br> A) 18 in2 <br> B) 24 in2 <br> C) 30 in2 <br> D) 36 in2
    9·2 answers
  • Please help me withe this proof as well.​
    9·1 answer
  • Seven days ago, the gas tank on Roses car was filled with 20 gallons of gasoline. Today there are 6 gallons of gasoline. What in
    12·2 answers
  • Look at the picture that I posted,
    7·2 answers
  • What are the coordinates of the endpoints of the segment T'V'? T'(-3, 6) and V'(0, 3) T'(-3, 6) and V'(0, 1) T'(-1, 2) and V'(0,
    11·2 answers
  • 6у – 6 = 4у + 16<br> A.y=2.2<br> B. y= -2.2<br> C. у= 11<br> D. у= 5
    6·1 answer
  • I need help with this-
    6·2 answers
  • Which of the following sets of data will have the smallest Standard Deviation?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!