Answers
Answer:
The measure of the four angles are 30°, 60°, 120°, 150°
Step-by-step explanation:
Q 11.
The sum of the measures of the angle at a point is 360°
Let us use this fact to answer the question
→ Assume that m∠AOB is x°
∵ m∠AOB = x°
∵ m∠BOC is twice m∠AOB
∴ m∠BOC = 2x°
∵ m∠COD is 4 times m∠AOB
∴ m∠COD = 4x°
∵ m∠DOA is 5 times m∠AOB
∴ m∠DOA = 5x°
→ By using the fact above
∵ m∠AOB + m∠BOC + m∠COD + m∠DOA = 360°
∴ x° + 2x° + 4x° + 5x° = 360°
→ Add the like terms
∴ 12x° = 360°
→ Divide both sides by 12
∴ x = 30°
→ Substitute the value of x in each angle to find them
∵ m∠AOB = x°
∴ m∠AOB = 30°
∵ m∠BOC = 2x° = 2(30°)
∴ m∠BOC = 60°
∵ m∠COD = 4x° = 4(30°)
∴ m∠COD = 120°
∵ m∠DOA = 5x° = 5(30)
∴ m∠DOA = 150°
∴ The measure of the four angles are 30°, 60°, 120°, 150°
Related Questions
Please help me with this problem
Answers
Answer:
The angle of EDA is 45 and I believe BE is 19.
Step-by-step explanation:
can someone help me out i don’t understand
Answers
Answer:
-4
Step-by-step explanation:
180-80=100
100-64=36
36-44=-8
-8/2=-4
A fish was 7 feet below sea level and
descended 12 feet. The expression
-7 - 12 represents this situation.
Find –7 – 12 to determine the location of
the fish compared to sea level.
Answers
Answer:
Hi... If we assume the sea level as the origin or zero, the sum of seven and twelve times or nineteen, and because it is under the sea, its sign becomes negative... - 19
Help will get brainliest
Answers
for question 3 answer is 53 7/8 feet
−6x+14<−28 AND3x+28≤25
Answers
Answer:
x<7,x< or = to -1
Step-by-step explanation:
-6x+14<-28
-6x<-28-14
-6x<-42
x<-42÷-6
x<7
[tex]3x \leqslant 25 - 28 \\ 3x \leqslant - 3 \\ x \leqslant - 3 \div 3 \\ x \leqslant - 1[/tex]
5(1 - 2x) = -65
( Multi- Step equations)
Please help:)<3
show steps if you can thank you!:)<4
Answers
Step-by-step explanation:
5(1-2x) = -65
5-10x = -65
65+5 = 10x
70 = 10x
7 = x
x = 7
Answer:
X=7/2
Step-by-step explanation:
5(1 - 2x) = -65
5-20x=-65
-20x=-65-5
-20x=-70
Minus sign cancel from both side
So x=70/20
X=7/2
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Find the area and perimeter of the object:
Answers
Answer:
Perimeter: 79 ft.
Area: 352 ft.
Step-by-step explanation:
Perimeter: 22+22+16+16 = 79 ft.
Area: 22 × 16 = 352 ft.
Solve the inequality. Graph the solutions.
Answers
Answer:
d
Step-by-step explanation:
i took the test
Answer:
C. x < -5 or x > 5
Step-by-step explanation:
what is 1/35 divided by 2 5/7? Please help!
Answers
Answer:
1/95
Step-by-step explanation:
2 5/7 = 19/7
1/35 divided by 2 5/7
1/35 ÷ 19/7
1/35 × 7/19
1 × 7/35 × 19
7/665 = 1/95
Write an inequality that has no solution when
solved-- meaning your answer needs to have a
variable in it.
Answers
Answer:
3x > 3x+2
Step-by-step explanation:
inequality with no solutions will give you something that is never true like
3 > 5 so for example you can have
3x > 3x+2
An individual can win a prize by drawing the highest numbered card out of five cards. After each draw, the card is replaced and the cards are shuffled for another chance. If the prize is not won, the card is again replaced and mixed in with the other cards. If a prize is won, the highest card is replaced and the five cards are shuffled for a new game. If an individual makes seven draws, what is the probability the individual will win a prize exactly two times?
A. 2 factorial over 7 factorial
B. 7 choose 2 times 0.2 squared times 0.8 to the fifth power
C. 0.2 squared over 0.8 to the fifth power
D. 2(0.2)(0.8)
E. (0.2)2(0.8)5
Answers
Answer:
B
Step-by-step explanation:
find the slope of the line√3y-x-2√x
Answers
What is the annual interest on a 5,000 loan with a simple interest rate of 6%
Answers
Answer:$50.00
Step-by-step explanation:Each monthly interest is $4.17 so you muiltiply is by 12 and get $50.00 annually
Which relation is a function
Answers
Answer:
A.
Step-by-step explanation:
A function is a relation in which every input or value in the domain is paired with exactly one output or value in range.
Draw vertical to check if there is one output for one input.
Hope it is useful...
HELP PLEASE! :) Lilith is remodeling her bathroom and needs an $8,700 loan to pay for the cost of the remodel. Which loan option will have Lilith pay the most amount in interest? 30-month loan with a 5.75% interest rate compounded annually 30-month loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate compounded annually 24-month loan with a 6.25% annual simple interest rate
Answers
Answer:
Which loan option will have Lilith pay the most amount in interest
loan with a 5.75% annual simple interest rate 24-month loan with a 6.25% interest rate
Interest 3,750
Final payment 33,750
Step-by-step explanation:
1.-Interes rate compouned
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,500
Final payment 34,500
2.-Simple interest
Loan 30,000
% 5.75%
Time( Years) 2.50
Interest 4,313
Final payment 34,313
3.-Simple interest
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,750
Final payment 33,750
4.-Interes rate compouned
Loan 30,000
% 6.25%
Time( Years) 2.00
Interest 3,867
Final payment 33,867
The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.
A simple interest is a kind of interest that is charged only on the principal while a compound interest is a kind of interest that is charged both on the principal and the interest.
The loan option that will cause Lilith to pay the most interest is a 30-month loan with a 5.75% interest rate compounded annually.
Learn more about compound interest: https://brainly.com/question/25857212
May you please help me??
Answers
-7(x + 9) = 9(x - 5) - 14x Solve for x. SHOW WORK.
Answers
Answer:
x=-9
Step-by-step explanation:
STEP 1: Since x is on the right side of the equation, switch the sides so it is on the left side of the equation.
[tex]9(x-5)-14x=-7(x+9)[/tex]
STEP 2: Simplify 9(x−5)−14x.
[tex]-5x-45=-7(x+9)[/tex]
STEP 3: Simplify −7(x+9).
[tex]-5x-45=-7x-63[/tex]
STEP 4: Move all terms containing x to the left side of the equation.
[tex]2x-45=-63[/tex]
STEP 5: Move all terms not containing x to the right side of the equation.
[tex]2x=-18[/tex]
STEP 6: Divide each term by 2 and simplify.
[tex]x=-9[/tex]
Answer:
x= -9
explanation in the pic above
hope it helps.
What is the slope of the line through (−1,−7) and (3,9)?
Answers
Answer:
The slope is 4.
Step-by-step explanation:
Point slope form is y-y1 over x-x1. I put the coordinates in like this.
9-(-7) over 3-(-1) so thats 9+7 over 3+1. 16 over 4 is 4.
Answer:
The answer is 2
Step-by-step explanation:
A number x is more than -6 and at most -1
Answers
Answer:
-6<x≥-1
Step-by-step explanation:
-6<x≥-1
The expression is written as;
-6 < x ≤ -1
What is Inequality?
To compare two or more mathematical expression in a relation is called an inequality.
Given that;
The expression is;
A number x is more than -6 and at most -1.
Now, The number x is more than -6.
It can be written as;
-6 < x
And, The number x is at most -1.
It can be written as;
x ≤ -1
After combine both inequality, we get;
- 6 < x ≤ -1.
Thus, The expression is written as;
-6 < x ≤ -1
Learn more about the inequality visit:
https://brainly.com/question/24372553
#SPJ2
whats 10 divided by 3567
Answers
Answer:
2803
2 8 0 3
3 5 6 7 | 1 0 .
7 . 1 3 4
2 . 8 6 6 0
2 . 8 5 3 6
1 2 4 0 0
1 0 7 0 1
1 6 9 9
Answer:
0.00280347631
Step-by-step or something like that:
Why would you ask though? Lol
HELPPP PLZZZZZ I DONT KNOWW HOW TO DO THSSS
Answers
Answer:
Join Zoom Meeting
Meeting ID: 580 387 3474
Passcode: 1234
Answer:
Step-by-step explanation:
y=-x-4
Which of these is not part of an algebraic equation?
A
an inequality sign
B
an expression
C
an equal sign
D
a variable
Answers
Answer:
A-an inequality sign
Step-by-step explanation:
inequality sign: greater then, less than, equal to.
expression: 2x + 3 no equal sign
equal sign: =
Variable: a letter in the equation such as n x 6=?
Hope this is correct.
Mr.Sampson fills the family pool with water for the summer, after two hours, the water has reached the depth of 2.5 feet.After three hours the water level has riden to 3 3/4
Answers
This question is incomplete
Complete Question
Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?
Answer:
1.33
Step-by-step explanation:
Time is proportional to Depth
Hence:
T ∝ D
T = kD
Where k is the constant of proportionality
After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.
Total number of hours now is 3 + 2 = 5 hours
5 = k × 3 3/4
5 = k × 3.75
k = 5/3.75
k = 1.33
In a packet of 40 skittles, 30% are red. How many skittles are red
Answers
Answer:
12 skittles are red
Step-by-step explanation:
and easy way to do this on the calculator is 40*0.3 which will give you the number that is the 30%.
Answer:
30
Step-by-step explanation:
because there is 40% and 30% are red so 30
not a 100% sure just trying to help
What value of x satisfies the equation x/4 + x/2 =9
Answers
"12" is the correct value of "x" which satisfies the given equation.
The given equation is:
→ [tex]\frac{x}{4} +\frac{x}{2} =9[/tex]
By taking L.C.M, we get
→ [tex]\frac{x+2x}{4}= 9[/tex]
→ [tex]\frac{3x}{4} =9[/tex]
By applying cross-multiplication, we get
→ [tex]3x=36[/tex]
→ [tex]x = \frac{36}{3}[/tex]
→ [tex]= 12[/tex]
Thus the above is the right answer.
Learn more about equation here:
https://brainly.com/question/1054939
Select the algebraic definition for the piecewise function graph.
A. 2
B. 4
C. -3 is equal to x <-1
D. -1 is equal to x <1
E. 0
F. 1 is equal to x<3
G. -2 is equal to x<5
H. -3 is equal to x<3
I. 3
Answers
The piece-wise function is defined by:
[tex]f(x) = 1, -3 \leq x < -1[/tex]
[tex]f(x) = 2, -1 \leq x < 1[/tex]
[tex]f(x) = 3, 1 \leq x < 3[/tex]
A piece-wise function is a function that has different definitions, based on the input.
In this graph:
When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:[tex]f(x) = 1, -3 \leq x < -1[/tex]
When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:[tex]f(x) = 2, -1 \leq x < 1[/tex]
When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:[tex]f(x) = 3, 1 \leq x < 3[/tex]
A similar problem is given at https://brainly.com/question/13205719
Last month you spend $30 on clothing this month you spent 160% of what you spent last minute set up a proportion to model this situation how much did you spend this month
Answers
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that last month $30 was spent on clothing and that this month, 160% of what was spent last month.
The equation to to model this situation will be:
= 160% × $30
= 160/100 × $30
= 1.6 × $30
= $48
That means $48 will be spent this month.
The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of seats with respect to the number of rows?
Answers
Answer:
S=30R+45
Step-by-step explanation:
3045/100=30R +45
So the other ones will be the same if this one is the answer. If you want you can check with the other ones. It's really easy if you get to understand it.
Answer:I am not sure
Step-by-step explanation:
27.12 -4.8 X 1 into minus 2 x 2
Answers
Multiply by one 22.32= 22.32
2x2= 4
22.32 - 4 = 18.32
27.12-4.8=22.32
22.32*1= 22.32
22.31-4= 18.32
The average temperature in May is
63.4º.
The average temperature in January is
42.34º.
About how much warmer is it in May
than in January?