Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Related Questions
At what age can you start withdrawing money from retirement accounts? What’s the penalty for withdrawing money early from retirement accounts? Type the correct answer in each box. Use numerals instead of words. Use / for a fraction bar.
Answers
The penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
We need to find at what age can you start withdrawing money from retirement accounts.
We need to find what’s the penalty for withdrawing money early from retirement accounts.
You can withdraw money from your 401k before age 59 ½. However, early withdrawals often come with hefty penalties and tax consequences.
If you find yourself needing to tap into your retirement funds early, here are rules to be aware of and options to consider.
What are 401k Withdrawal Rules?The IRS allows penalty-free withdrawals from retirement accounts after age 59 ½ and requires withdrawals after age 72. There are some exceptions to these rules for 401k plans and other qualified plans.
Generally, if you take a distribution from an IRA or 401k before age 59 ½, you will likely owe:
federal income tax (taxed at your marginal tax rate)10% penalty on the amount that you withdrawrelevant state income taxTherefore, the penalty-free withdrawals from retirement accounts after age 59 ½ requires withdrawals after age 72 and 10% penalty on the amount that you withdraw before the age 59 ½.
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Help Willing To Give Brainiest To Whoever Gets It Right
Answers
Answer:
Solution :-In figure 1 value of y is 1
In figure 2 value of y is 6
In figure 3 value of y is 5
[tex] \\ [/tex]
2. 6
3. 5
These are the values of y
ASAP SHOW WORK PLEASE
Answers
Answer:
1) 5 in, 12 in, 13 inStep-by-step explanation:
1)
5² + 12² = 13²25 + 144 = 169169 = 169Yes2)
5² + 7² = 9²25 + 49 = 8174 ≠ 81No3)
10 + 12 < 30, there is no possible triangle with given sides as per triangle inequality theoremWILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=
Answers
Answer:
x = -4y
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Find the value of x. Round to the
nearest tenth.
26
12
х
X=
= [?]
Answers
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
Find the area of this parallelogram
Answers
Answer:
140 cm²
Step-by-step explanation:
The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .
⇒ Area = base × Height
⇒ Area = 14cm × 10cm
⇒ Area = 140 cm² .
Hence the area of the parallelogram is 140 cm² .Someone please explain this andwer
Answers
Answer: 2756 cubic inches
Step-by-step explanation:
Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304
Then the cylinder: pi x 4(sqrd) x 9 = about 452
then add them together
I hope this helps! :)
Question 17
17. Find the scale factor that was used in the dilation shown.
Answers
Answer:
We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.
Step-by-step explanation:
PLEASE HELP ME!!
For the following exercise, use the compound interest formula, A(t) = P(1 +r/n)^t.
where money is measured in dollars.
After a certain number of years, the value of an investment account is represented by the expression 10,400(1 +0.02/2)^20
had the account been accumulating interest?
How many years
Answers
Answer:
A = $10,441.68
A = P + I where
P (principal) = $10,400.00
I (interest) = $41.68
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,400.00(1 + 0.0002/2)(2)(20)
A = 10,400.00(1 + 0.0001)(40)
A = $10,441.68
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Compound Interest =[tex]P(1+r/n)^rt[/tex]
Given that
A = $10,441.68
A = P + I
P (principal) = $10,400.00
I (interest) = $41.68
First, we need to convert R as a percent to r as a decimal
r = R/100
r = 0.02/100
r = 0.0002 rate per year,
Then we will solve the equation for A
A = [tex]P(1+r/n)^rt[/tex]
[tex]A = 10,400.00(1 + 0.0002/2)^{(2)(20)}[/tex]
A = 10,400.00(1 + 0.0001)
A = $10,441.68
Hence, The total amount , with compound interest on a principal of $10,400.00 at a rate of 0.02% per year compounded 2 times per year over 20 years is $10,441.68.
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Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?
Answers
Answer:
A) £650 = $1053
B) $405 = £250
Step-by-step explanation:
For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053
For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250
Use the distributive property to remove the parentheses (-4+3x+3v)(-2)
Answers
Answer:
your final answer would be −6v−6x+8
Step-by-step explanation:
(−4+3x+3v)(−2)
=(−4)(−2)+(3x)(−2)+(3v)(−2) group like terms together
=8−6x−6v combine like terms
= -6v-6x+8 put in standerd form
Answer:
-(-4+3x+3v)2
Step-by-step explanation:
1.) (-4+3x+3v)(-2) = -2(-4+3x+3v)
2.) (-4+3x+3v)
Remove parentheses: (-a) = -a
Answer: -(-4+3x+3v)2
The dot plots show the math test scores from the sixth and seventh
grade students
Answers
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is c/6=9 equals to
Answers
c = 54
!!!_!£((£2((2)1)1)1
Which expression is equivalent to 6x-9•3
Answers
The diagram represents an 11 cm by 6 cm rectangle.
Calculate the area of the rectangle, giving the units of your answer.
Answers
Answer:
66cm is the area of the rectangle
Mr. Sanchez built a fence to enclose a rectangular
yard for his horse. If the area of the yard to be
enclosed is 2835 square feet, and the length of
the yard is 45 feet, how much fencing is needed?
Answers
9514 1404 393
Answer:
216 feet
Step-by-step explanation:
The area is given by the formula ...
A = LW
Solving for width, we have ...
W = A/L = 2835 ft²/(45 ft) = 63 ft
__
The perimeter is given by the formula ...
P = 2(L +W)
P = 2(45 ft +63 ft) = 2(108 ft)
P = 216 ft
216 feet of fencing are needed to enclose the area.
a stereo system cost $4,800. It depreciates 12% a year. How much is the system worth after 2 years?
Answers
Answer:
$3717.12
Step-by-step explanation:
The depreciation per year is 100% - 12% = 88% = 0.88
value after 2 years = $4800 ( 0.88)² = $3717.12
Step-by-step explanation:
3717.21$ is the system worth after 2 years
the y coordinate is 7 more than the x coordinate
Answers
Answer:
if you have the value of x then y =x +7
Someone please help me answer this!!
Answers
Answer:
10
Step-by-step explanation:
For this you can use the pythagorean theorem such as (a^2 + b^2) = c^2 so the answer will be ten
The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?
Answers
Answer:
B
Step-by-step explanation:
Answer: It’s C
Step-by-step explanation:
14. Which of the following is not a true statement about the scatter plot above?
A. The association of the scatter plot is positive.
B. The association of the scatter plot is linear.
C. For every additional day of a trip, the weight of a suitcase increases 5 pounds.
D. For every 5 additional days of a trip, the weight of a suitcase increases one pound.
Answers
Answer:
Step-by-step explanation:
help plz plz plz ill give brain
Answers
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours
Anyone know the answer to this question?
Answers
What’s the correct answer for this question?
Answers
Step by step explanation
|-7|=7
Can you guys please help me with all three of these?
Answers
Answer:
1) B
2) F
3) D
Step-by-step explanation:
1)
B because all the x-values and y-values are 1-1 and the x-values don't repeat.
2)
F because all the x-values are the same and repeat.
3)
D because this fails the vertical line test.
A diner sells large drinks for 3$ and small drinks for 2$. Last month, they sold 420$ of the large size. How many large size drinks were sold last month?
Answers
EXPLANATION: 420=3x
(x being the number of large drinks sold)
Answer:
140 Large sized drinks were sold last month
Step-by-step explanation:
Each large drink is sold at $3
Therefore, we divide the amount of money which is $420 by $3
= $420 ÷ $3 = 140 Large sized drinks
What is the radius of a sphere with a volume of 4186 in3 to the nearest tenth of an inch?
Answers
Answer:
10 inches
Step-by-step explanation:
r=(3V
4π)⅓=(3·4186
4·π)⅓≈9.99778in
-what is the area and perimeter of the trapezoid.
-what are the area and perimeter of a trapezoid that is similar to this one but reduced by a linear scale factor of 1/3.
- will give you brainliest if it’s correct
Answers
Answer:
I think its 42 can you pls give brainliest I wanna level up RSM SUCKS
Step-by-step explanation:
4x^2+5y^2=41
3x^2-4y^2=23
Answers
Answer:
i dont know the answer sry
Step-by-step explanation:
srryyy
What is the mean of the set of data given below? 13 8 9 6 10 8
Answers
Answer:
Mean = The numbers added up and divided by the number of numbers.
Step-by-step explanation:
= (13 + 8 + 9 + 6 + 10 + 8) / 6
= 54 / 6
= 9
The mean is 9.